Deck 14: Complex Numbers

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Question
Perform the addition or subtraction and write the result in standard form.​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)   D)   E)   <div style=padding-top: 35px>

A)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)   D)   E)   <div style=padding-top: 35px>
B)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)   D)   E)   <div style=padding-top: 35px>
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Question
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​</strong> A)3 +   i​ B)4 +   i C)7 -   i D)3 -   i E)4 -   i <div style=padding-top: 35px>

A)3 + <strong>Write the complex number in standard form.​   ​</strong> A)3 +   i​ B)4 +   i C)7 -   i D)3 -   i E)4 -   i <div style=padding-top: 35px> i​
B)4 + <strong>Write the complex number in standard form.​   ​</strong> A)3 +   i​ B)4 +   i C)7 -   i D)3 -   i E)4 -   i <div style=padding-top: 35px> i
C)7 - <strong>Write the complex number in standard form.​   ​</strong> A)3 +   i​ B)4 +   i C)7 -   i D)3 -   i E)4 -   i <div style=padding-top: 35px> i
D)3 - <strong>Write the complex number in standard form.​   ​</strong> A)3 +   i​ B)4 +   i C)7 -   i D)3 -   i E)4 -   i <div style=padding-top: 35px> i
E)4 - <strong>Write the complex number in standard form.​   ​</strong> A)3 +   i​ B)4 +   i C)7 -   i D)3 -   i E)4 -   i <div style=padding-top: 35px> i
Question
Perform the operation and write the result in standard form.​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)31 B)27 C)28 D)29 E)30 <div style=padding-top: 35px>

A)31
B)27
C)28
D)29
E)30
Question
Perform the operation and write the result in standard form.​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Write the complex number in standard form. ​​ <strong>Write the complex number in standard form. ​​   ​</strong> A)​-0.01i B)​​-0.0001i C)​3.01i D)​0.01i E)​0.0001i <div style=padding-top: 35px>

A)​-0.01i
B)​​-0.0001i
C)​3.01i
D)​0.01i
E)​0.0001i
Question
Perform the operation and write the result in standard form.​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Perform the addition or subtraction and write the result in standard form.​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Perform the addition or subtraction and write the result in standard form. ​​ <strong>Perform the addition or subtraction and write the result in standard form. ​​   ​</strong> A)5 B)7 C)9 D)8 E)​6 <div style=padding-top: 35px>

A)5
B)7
C)9
D)8
E)​6
Question
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Write the complex number in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Write the complex number in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Write the complex number in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Write the complex number in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Write the complex number in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Find real numbers a and b such that the equation is true.​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Perform the addition or subtraction and write the result in standard form.​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)16​ - 8i B)​15 - 7i C)​12 - 4i D)​14 - 6i E)​13 - 5i <div style=padding-top: 35px>

A)16​ - 8i
B)​15 - 7i
C)​12 - 4i
D)​14 - 6i
E)​13 - 5i
Question
Write the complex number in standard form. ​
-4i + i2

A)​-1 + 4i
B)​-1 + 7i
C)​1 + 4i
D)​1 - 4i
E)​-1 - 4i
Question
Find real numbers a and b such that the equation is true. ​​ <strong>Find real numbers a and b such that the equation is true. ​​   ​</strong> A)​a = 0,b = -   B)​​a = 0,b = -   C)​​a = 0,b = -   D)​​a = 0,b = -9 E)​​a = 0,b = -10 <div style=padding-top: 35px>

A)​a = 0,b = - <strong>Find real numbers a and b such that the equation is true. ​​   ​</strong> A)​a = 0,b = -   B)​​a = 0,b = -   C)​​a = 0,b = -   D)​​a = 0,b = -9 E)​​a = 0,b = -10 <div style=padding-top: 35px>
B)​​a = 0,b = - <strong>Find real numbers a and b such that the equation is true. ​​   ​</strong> A)​a = 0,b = -   B)​​a = 0,b = -   C)​​a = 0,b = -   D)​​a = 0,b = -9 E)​​a = 0,b = -10 <div style=padding-top: 35px>
C)​​a = 0,b = - <strong>Find real numbers a and b such that the equation is true. ​​   ​</strong> A)​a = 0,b = -   B)​​a = 0,b = -   C)​​a = 0,b = -   D)​​a = 0,b = -9 E)​​a = 0,b = -10 <div style=padding-top: 35px>
D)​​a = 0,b = -9
E)​​a = 0,b = -10
Question
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​</strong> A)   i B)-   i C)   i D)   i E)-   i <div style=padding-top: 35px>

A) <strong>Write the complex number in standard form.​   ​</strong> A)   i B)-   i C)   i D)   i E)-   i <div style=padding-top: 35px> i
B)- <strong>Write the complex number in standard form.​   ​</strong> A)   i B)-   i C)   i D)   i E)-   i <div style=padding-top: 35px> i
C) <strong>Write the complex number in standard form.​   ​</strong> A)   i B)-   i C)   i D)   i E)-   i <div style=padding-top: 35px> i
D) <strong>Write the complex number in standard form.​   ​</strong> A)   i B)-   i C)   i D)   i E)-   i <div style=padding-top: 35px> i
E)- <strong>Write the complex number in standard form.​   ​</strong> A)   i B)-   i C)   i D)   i E)-   i <div style=padding-top: 35px> i
Question
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​</strong> A)17.64i B)4.2i C)​7.2i D)-4.2i E)-17.64i <div style=padding-top: 35px>

A)17.64i
B)4.2i
C)​7.2i
D)-4.2i
E)-17.64i
Question
Perform the operation and write the result in standard form.​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)​   C)​   D)   E)   <div style=padding-top: 35px>

A) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)​   C)​   D)   E)   <div style=padding-top: 35px>
B)​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)​   C)​   D)   E)   <div style=padding-top: 35px>
C)​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)​   C)​   D)   E)   <div style=padding-top: 35px>
D) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)​   C)​   D)   E)   <div style=padding-top: 35px>
E) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)​   C)​   D)   E)   <div style=padding-top: 35px>
Question
Find real numbers a and b such that the equation is true.​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​</strong> A)6i B)-6i C)36i D)7i E)-36i <div style=padding-top: 35px>

A)6i
B)-6i
C)36i
D)7i
E)-36i
Question
Find real numbers a and b such that the equation is true.​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)   B)   C)​   D)   E)   <div style=padding-top: 35px>

A) <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)   B)   C)​   D)   E)   <div style=padding-top: 35px>
B) <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)   B)   C)​   D)   E)   <div style=padding-top: 35px>
C)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)   B)   C)​   D)   E)   <div style=padding-top: 35px>
D) <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)   B)   C)​   D)   E)   <div style=padding-top: 35px>
E) <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)   B)   C)​   D)   E)   <div style=padding-top: 35px>
Question
Perform the addition or subtraction and write the result in standard form.​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Perform the operation and write the result in standard form.​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Solve the equation and write complex solutions in standard form. ​​ <strong>Solve the equation and write complex solutions in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Solve the equation and write complex solutions in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Solve the equation and write complex solutions in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Solve the equation and write complex solutions in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Solve the equation and write complex solutions in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Solve the equation and write complex solutions in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Write the quotient in standard form.​ <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i <div style=padding-top: 35px>

A) <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i <div style=padding-top: 35px> - <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i <div style=padding-top: 35px> i
B) <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i <div style=padding-top: 35px> + <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i <div style=padding-top: 35px> i
C) <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i <div style=padding-top: 35px> + <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i <div style=padding-top: 35px> i
D) <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i <div style=padding-top: 35px> + <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i <div style=padding-top: 35px> i
E) <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i <div style=padding-top: 35px> + <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i <div style=padding-top: 35px> i
Question
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​</strong> A)​-   B)   C)   D)-   E)   <div style=padding-top: 35px>

A)​- <strong>Write the complex number in standard form.​   ​</strong> A)​-   B)   C)   D)-   E)   <div style=padding-top: 35px>
B) <strong>Write the complex number in standard form.​   ​</strong> A)​-   B)   C)   D)-   E)   <div style=padding-top: 35px>
C) <strong>Write the complex number in standard form.​   ​</strong> A)​-   B)   C)   D)-   E)   <div style=padding-top: 35px>
D)- <strong>Write the complex number in standard form.​   ​</strong> A)​-   B)   C)   D)-   E)   <div style=padding-top: 35px>
E) <strong>Write the complex number in standard form.​   ​</strong> A)​-   B)   C)   D)-   E)   <div style=padding-top: 35px>
Question
Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)-38i,39 B)   i,39 C)1521i,39 D)-   i,39 E)​-i,39 <div style=padding-top: 35px>

A)-38i,39
B) <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)-38i,39 B)   i,39 C)1521i,39 D)-   i,39 E)​-i,39 <div style=padding-top: 35px> i,39
C)1521i,39
D)- <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)-38i,39 B)   i,39 C)1521i,39 D)-   i,39 E)​-i,39 <div style=padding-top: 35px> i,39
E)​-i,39
Question
Write the quotient in standard form.​ <strong>Write the quotient in standard form.​   ​</strong> A)​​4i B)   C)​   D)​​-4i E)​   <div style=padding-top: 35px>

A)​​4i
B) <strong>Write the quotient in standard form.​   ​</strong> A)​​4i B)   C)​   D)​​-4i E)​   <div style=padding-top: 35px>
C)​ <strong>Write the quotient in standard form.​   ​</strong> A)​​4i B)   C)​   D)​​-4i E)​   <div style=padding-top: 35px>
D)​​-4i
E)​ <strong>Write the quotient in standard form.​   ​</strong> A)​​4i B)   C)​   D)​​-4i E)​   <div style=padding-top: 35px>
Question
Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Perform the operation and write the result in standard form. ​​ <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i <div style=padding-top: 35px>

A) <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i <div style=padding-top: 35px> + <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i <div style=padding-top: 35px> i
B) <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i <div style=padding-top: 35px> - <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i <div style=padding-top: 35px> i
C) <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i <div style=padding-top: 35px> + <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i <div style=padding-top: 35px> i
D) <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i <div style=padding-top: 35px> <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i <div style=padding-top: 35px> i
E) <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i <div style=padding-top: 35px> - <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i <div style=padding-top: 35px> i
Question
Write the quotient in standard form.​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​ ​</strong> A)   B)   C)     D)   E)   <div style=padding-top: 35px> ​ ​

A) <strong>Write the complex number in standard form.​   ​ ​</strong> A)   B)   C)     D)   E)   <div style=padding-top: 35px>
B) <strong>Write the complex number in standard form.​   ​ ​</strong> A)   B)   C)     D)   E)   <div style=padding-top: 35px>
C) <strong>Write the complex number in standard form.​   ​ ​</strong> A)   B)   C)     D)   E)   <div style=padding-top: 35px> <strong>Write the complex number in standard form.​   ​ ​</strong> A)   B)   C)     D)   E)   <div style=padding-top: 35px>
D) <strong>Write the complex number in standard form.​   ​ ​</strong> A)   B)   C)     D)   E)   <div style=padding-top: 35px>
E) <strong>Write the complex number in standard form.​   ​ ​</strong> A)   B)   C)     D)   E)   <div style=padding-top: 35px>
Question
Write the quotient in standard form.​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​-2i D)​   E)​2i <div style=padding-top: 35px>

A)​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​-2i D)​   E)​2i <div style=padding-top: 35px>
B)​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​-2i D)​   E)​2i <div style=padding-top: 35px>
C)​-2i
D)​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​-2i D)​   E)​2i <div style=padding-top: 35px>
E)​2i
Question
Write the quotient in standard form. ​​ <strong>Write the quotient in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Write the quotient in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Write the quotient in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Write the quotient in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Write the quotient in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Write the quotient in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​</strong> A)   B)-   C)​   D)   E)​   <div style=padding-top: 35px>

A) <strong>Write the complex number in standard form.​   ​</strong> A)   B)-   C)​   D)   E)​   <div style=padding-top: 35px>
B)- <strong>Write the complex number in standard form.​   ​</strong> A)   B)-   C)​   D)   E)​   <div style=padding-top: 35px>
C)​ <strong>Write the complex number in standard form.​   ​</strong> A)   B)-   C)​   D)   E)​   <div style=padding-top: 35px>
D) <strong>Write the complex number in standard form.​   ​</strong> A)   B)-   C)​   D)   E)​   <div style=padding-top: 35px>
E)​ <strong>Write the complex number in standard form.​   ​</strong> A)   B)-   C)​   D)   E)​   <div style=padding-top: 35px>
Question
Write the complex number in standard form. <strong>Write the complex number in standard form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the complex number in standard form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the complex number in standard form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the complex number in standard form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the complex number in standard form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the complex number in standard form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i <div style=padding-top: 35px>

A)(24 - <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i <div style=padding-top: 35px> )- (6 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i <div style=padding-top: 35px> - 4 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i <div style=padding-top: 35px> )i
B)(24 + <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i <div style=padding-top: 35px> )+ (6 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i <div style=padding-top: 35px> - 4 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i <div style=padding-top: 35px> )i
C)(24 - <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i <div style=padding-top: 35px> )+ (6 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i <div style=padding-top: 35px> - 4 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i <div style=padding-top: 35px> )i
D)(24 + <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i <div style=padding-top: 35px> )- (6 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i <div style=padding-top: 35px> - 4 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i <div style=padding-top: 35px> )i
E)(24 + <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i <div style=padding-top: 35px> )+ (6 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i <div style=padding-top: 35px> + 4 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i <div style=padding-top: 35px> )i
Question
Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Solve the equation and write complex solutions in standard form.​ <strong>Solve the equation and write complex solutions in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Solve the equation and write complex solutions in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Solve the equation and write complex solutions in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Solve the equation and write complex solutions in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Solve the equation and write complex solutions in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Solve the equation and write complex solutions in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Write the quotient in standard form. ​​ <strong>Write the quotient in standard form. ​​   ​</strong> A)3 -   i B)3 - 3i C)3     i D)3i -   E)3i +   <div style=padding-top: 35px>

A)3 - <strong>Write the quotient in standard form. ​​   ​</strong> A)3 -   i B)3 - 3i C)3     i D)3i -   E)3i +   <div style=padding-top: 35px> i
B)3 - 3i
C)3 <strong>Write the quotient in standard form. ​​   ​</strong> A)3 -   i B)3 - 3i C)3     i D)3i -   E)3i +   <div style=padding-top: 35px> <strong>Write the quotient in standard form. ​​   ​</strong> A)3 -   i B)3 - 3i C)3     i D)3i -   E)3i +   <div style=padding-top: 35px> i
D)3i - <strong>Write the quotient in standard form. ​​   ​</strong> A)3 -   i B)3 - 3i C)3     i D)3i -   E)3i +   <div style=padding-top: 35px>
E)3i + <strong>Write the quotient in standard form. ​​   ​</strong> A)3 -   i B)3 - 3i C)3     i D)3i -   E)3i +   <div style=padding-top: 35px>
Question
Do the operation and express the answer in a + bi form.Use fractions in your answer.​ Do the operation and express the answer in a + bi form.Use fractions in your answer.​  <div style=padding-top: 35px>
Question
Do the operation and express the answer in a + bi form. ​
(5 - 5i)+ (8 + 3i)

A)2 - 13i
B)- 13 + 2i
C)13 + 2i
D)- 13 - 2i
E)13 - 2i
Question
Do the operation and express the answer in a + bi form.​ <strong>Do the operation and express the answer in a + bi form.​   ​</strong> A)19i B)- 19i C)- 190i D)- 19 E)19 <div style=padding-top: 35px>

A)19i
B)- 19i
C)- 190i
D)- 19
E)19
Question
Simplify the complex number and write it in standard form.​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​14i<sup>3</sup> B)​​-14i<sup>3</sup> C)​14 D)​​​-14i E)​14i <div style=padding-top: 35px>

A)​14i3
B)​​-14i3
C)​14
D)​​​-14i
E)​14i
Question
Do the operation and express the answer in a + bi form.​ <strong>Do the operation and express the answer in a + bi form.​   ​</strong> A)- 8 + 14i B)8 + 7i C)- 8 + 7i D)- 8 - 7i E)8 - 7i <div style=padding-top: 35px>

A)- 8 + 14i
B)8 + 7i
C)- 8 + 7i
D)- 8 - 7i
E)8 - 7i
Question
Simplify the complex number and write it in standard form. ​​ <strong>Simplify the complex number and write it in standard form. ​​   ​</strong> A)​16 B)​-16 C)​16i D)​​-16i E)​2i <div style=padding-top: 35px>

A)​16
B)​-16
C)​16i
D)​​-16i
E)​2i
Question
Simplify the complex number and write it in standard form.​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Do the operation and express the answer in a + bi form.Do not use parentheses in your answer.

(3 - 8i)+ (10 + 5i)
Question
Simplify the complex number and write it in standard form.​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)185,193i B)-57i C)-   i D)   i E)-185,193i <div style=padding-top: 35px>

A)185,193i
B)-57i
C)- <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)185,193i B)-57i C)-   i D)   i E)-185,193i <div style=padding-top: 35px> i
D) <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)185,193i B)-57i C)-   i D)   i E)-185,193i <div style=padding-top: 35px> i
E)-185,193i
Question
Do the operation and express the answer in a + bi form.​ <strong>Do the operation and express the answer in a + bi form.​   ​</strong> A)19 - 4i B)- 38 - 8i C)19 + 4i D)- 38 + 8i E)- 19 + 4i <div style=padding-top: 35px>

A)19 - 4i
B)- 38 - 8i
C)19 + 4i
D)- 38 + 8i
E)- 19 + 4i
Question
Simplify the complex number and write it in standard form.​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​8i <div style=padding-top: 35px>

A)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​8i <div style=padding-top: 35px>
B)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​8i <div style=padding-top: 35px>
C)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​8i <div style=padding-top: 35px>
D)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​8i <div style=padding-top: 35px>
E)​8i
Question
Describe the error.​ <strong>Describe the error.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Describe the error.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Describe the error.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Describe the error.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Describe the error.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Describe the error.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Simplify the complex number and write it in standard form.​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Simplify the expression. ​
I -14

A)i
B)-3i
C)-i
D)-1
E)1
Question
Simplify the complex number and write it in standard form.​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)-1 B)​-i C)​1 D)​i E)5 <div style=padding-top: 35px>

A)-1
B)​-i
C)​1
D)​i
E)5
Question
Raise the complex number to the fourth power. ​
​4i

A)​256
B)-64
C)64
D)16
E)-256
Question
Do the operation and express the answer in a + bi form.​ <strong>Do the operation and express the answer in a + bi form.​   ​</strong> A)28 - 5 i B)- 28 + 6 i C)- 5 + 6 i D)5 - 6 i E)28 + 6 i <div style=padding-top: 35px>

A)28 - 5 i
B)- 28 + 6 i
C)- 5 + 6 i
D)5 - 6 i
E)28 + 6 i
Question
Simplify the complex number and write it in standard form.​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Do the operation and express the answer in a + bi form.​ <strong>Do the operation and express the answer in a + bi form.​   ​</strong> A)-17i B)-85i C)-17 D)17i E)17 <div style=padding-top: 35px>

A)-17i
B)-85i
C)-17
D)17i
E)17
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Deck 14: Complex Numbers
1
Perform the addition or subtraction and write the result in standard form.​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)   D)   E)

A)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)   D)   E)
B)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)   D)   E)
C) <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)   D)   E)
D) <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)   D)   E)
E) <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)   D)   E)
2
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​</strong> A)3 +   i​ B)4 +   i C)7 -   i D)3 -   i E)4 -   i

A)3 + <strong>Write the complex number in standard form.​   ​</strong> A)3 +   i​ B)4 +   i C)7 -   i D)3 -   i E)4 -   i i​
B)4 + <strong>Write the complex number in standard form.​   ​</strong> A)3 +   i​ B)4 +   i C)7 -   i D)3 -   i E)4 -   i i
C)7 - <strong>Write the complex number in standard form.​   ​</strong> A)3 +   i​ B)4 +   i C)7 -   i D)3 -   i E)4 -   i i
D)3 - <strong>Write the complex number in standard form.​   ​</strong> A)3 +   i​ B)4 +   i C)7 -   i D)3 -   i E)4 -   i i
E)4 - <strong>Write the complex number in standard form.​   ​</strong> A)3 +   i​ B)4 +   i C)7 -   i D)3 -   i E)4 -   i i
3 - 3 -   i i
3
Perform the operation and write the result in standard form.​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)31 B)27 C)28 D)29 E)30

A)31
B)27
C)28
D)29
E)30
27
4
Perform the operation and write the result in standard form.​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)
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5
Write the complex number in standard form. ​​ <strong>Write the complex number in standard form. ​​   ​</strong> A)​-0.01i B)​​-0.0001i C)​3.01i D)​0.01i E)​0.0001i

A)​-0.01i
B)​​-0.0001i
C)​3.01i
D)​0.01i
E)​0.0001i
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6
Perform the operation and write the result in standard form.​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)   C)   D)   E)
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7
Perform the addition or subtraction and write the result in standard form.​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   ​ C)​   D)​   E)​

A)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   ​ C)​   D)​   E)​
B)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   ​ C)​   D)​   E)​
C)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   ​ C)​   D)​   E)​
D)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   ​ C)​   D)​   E)​
E)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   ​ C)​   D)​   E)​
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8
Perform the addition or subtraction and write the result in standard form. ​​ <strong>Perform the addition or subtraction and write the result in standard form. ​​   ​</strong> A)5 B)7 C)9 D)8 E)​6

A)5
B)7
C)9
D)8
E)​6
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9
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Write the complex number in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Write the complex number in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Write the complex number in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Write the complex number in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Write the complex number in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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10
Find real numbers a and b such that the equation is true.​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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11
Perform the addition or subtraction and write the result in standard form.​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)16​ - 8i B)​15 - 7i C)​12 - 4i D)​14 - 6i E)​13 - 5i

A)16​ - 8i
B)​15 - 7i
C)​12 - 4i
D)​14 - 6i
E)​13 - 5i
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12
Write the complex number in standard form. ​
-4i + i2

A)​-1 + 4i
B)​-1 + 7i
C)​1 + 4i
D)​1 - 4i
E)​-1 - 4i
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13
Find real numbers a and b such that the equation is true. ​​ <strong>Find real numbers a and b such that the equation is true. ​​   ​</strong> A)​a = 0,b = -   B)​​a = 0,b = -   C)​​a = 0,b = -   D)​​a = 0,b = -9 E)​​a = 0,b = -10

A)​a = 0,b = - <strong>Find real numbers a and b such that the equation is true. ​​   ​</strong> A)​a = 0,b = -   B)​​a = 0,b = -   C)​​a = 0,b = -   D)​​a = 0,b = -9 E)​​a = 0,b = -10
B)​​a = 0,b = - <strong>Find real numbers a and b such that the equation is true. ​​   ​</strong> A)​a = 0,b = -   B)​​a = 0,b = -   C)​​a = 0,b = -   D)​​a = 0,b = -9 E)​​a = 0,b = -10
C)​​a = 0,b = - <strong>Find real numbers a and b such that the equation is true. ​​   ​</strong> A)​a = 0,b = -   B)​​a = 0,b = -   C)​​a = 0,b = -   D)​​a = 0,b = -9 E)​​a = 0,b = -10
D)​​a = 0,b = -9
E)​​a = 0,b = -10
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14
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​</strong> A)   i B)-   i C)   i D)   i E)-   i

A) <strong>Write the complex number in standard form.​   ​</strong> A)   i B)-   i C)   i D)   i E)-   i i
B)- <strong>Write the complex number in standard form.​   ​</strong> A)   i B)-   i C)   i D)   i E)-   i i
C) <strong>Write the complex number in standard form.​   ​</strong> A)   i B)-   i C)   i D)   i E)-   i i
D) <strong>Write the complex number in standard form.​   ​</strong> A)   i B)-   i C)   i D)   i E)-   i i
E)- <strong>Write the complex number in standard form.​   ​</strong> A)   i B)-   i C)   i D)   i E)-   i i
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15
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​</strong> A)17.64i B)4.2i C)​7.2i D)-4.2i E)-17.64i

A)17.64i
B)4.2i
C)​7.2i
D)-4.2i
E)-17.64i
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16
Perform the operation and write the result in standard form.​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)​   C)​   D)   E)

A) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)​   C)​   D)   E)
B)​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)​   C)​   D)   E)
C)​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)​   C)​   D)   E)
D) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)​   C)​   D)   E)
E) <strong>Perform the operation and write the result in standard form.​   ​</strong> A)   B)​   C)​   D)   E)
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17
Find real numbers a and b such that the equation is true.​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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18
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​</strong> A)6i B)-6i C)36i D)7i E)-36i

A)6i
B)-6i
C)36i
D)7i
E)-36i
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19
Find real numbers a and b such that the equation is true.​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)   B)   C)​   D)   E)

A) <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)   B)   C)​   D)   E)
B) <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)   B)   C)​   D)   E)
C)​ <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)   B)   C)​   D)   E)
D) <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)   B)   C)​   D)   E)
E) <strong>Find real numbers a and b such that the equation is true.​   ​</strong> A)   B)   C)​   D)   E)
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20
Perform the addition or subtraction and write the result in standard form.​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Perform the addition or subtraction and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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21
Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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22
Perform the operation and write the result in standard form.​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Perform the operation and write the result in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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23
Solve the equation and write complex solutions in standard form. ​​ <strong>Solve the equation and write complex solutions in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Solve the equation and write complex solutions in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Solve the equation and write complex solutions in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Solve the equation and write complex solutions in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Solve the equation and write complex solutions in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Solve the equation and write complex solutions in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
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24
Write the quotient in standard form.​ <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i

A) <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i - <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i i
B) <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i + <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i i
C) <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i + <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i i
D) <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i + <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i i
E) <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i + <strong>Write the quotient in standard form.​   ​</strong> A)   -   i B)   +   i C)   +   i D)   +   i E)   +   i i
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25
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​</strong> A)​-   B)   C)   D)-   E)

A)​- <strong>Write the complex number in standard form.​   ​</strong> A)​-   B)   C)   D)-   E)
B) <strong>Write the complex number in standard form.​   ​</strong> A)​-   B)   C)   D)-   E)
C) <strong>Write the complex number in standard form.​   ​</strong> A)​-   B)   C)   D)-   E)
D)- <strong>Write the complex number in standard form.​   ​</strong> A)​-   B)   C)   D)-   E)
E) <strong>Write the complex number in standard form.​   ​</strong> A)​-   B)   C)   D)-   E)
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26
Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)-38i,39 B)   i,39 C)1521i,39 D)-   i,39 E)​-i,39

A)-38i,39
B) <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)-38i,39 B)   i,39 C)1521i,39 D)-   i,39 E)​-i,39 i,39
C)1521i,39
D)- <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)-38i,39 B)   i,39 C)1521i,39 D)-   i,39 E)​-i,39 i,39
E)​-i,39
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27
Write the quotient in standard form.​ <strong>Write the quotient in standard form.​   ​</strong> A)​​4i B)   C)​   D)​​-4i E)​

A)​​4i
B) <strong>Write the quotient in standard form.​   ​</strong> A)​​4i B)   C)​   D)​​-4i E)​
C)​ <strong>Write the quotient in standard form.​   ​</strong> A)​​4i B)   C)​   D)​​-4i E)​
D)​​-4i
E)​ <strong>Write the quotient in standard form.​   ​</strong> A)​​4i B)   C)​   D)​​-4i E)​
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28
Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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29
Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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30
Perform the operation and write the result in standard form. ​​ <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i

A) <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i + <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i i
B) <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i - <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i i
C) <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i + <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i i
D) <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i i
E) <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i - <strong>Perform the operation and write the result in standard form. ​​   ​</strong> A)   +   i B)   -   i C)   +   i D)     i E)   -   i i
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31
Write the quotient in standard form.​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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32
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​ ​</strong> A)   B)   C)     D)   E)   ​ ​

A) <strong>Write the complex number in standard form.​   ​ ​</strong> A)   B)   C)     D)   E)
B) <strong>Write the complex number in standard form.​   ​ ​</strong> A)   B)   C)     D)   E)
C) <strong>Write the complex number in standard form.​   ​ ​</strong> A)   B)   C)     D)   E)   <strong>Write the complex number in standard form.​   ​ ​</strong> A)   B)   C)     D)   E)
D) <strong>Write the complex number in standard form.​   ​ ​</strong> A)   B)   C)     D)   E)
E) <strong>Write the complex number in standard form.​   ​ ​</strong> A)   B)   C)     D)   E)
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33
Write the quotient in standard form.​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​-2i D)​   E)​2i

A)​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​-2i D)​   E)​2i
B)​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​-2i D)​   E)​2i
C)​-2i
D)​ <strong>Write the quotient in standard form.​   ​</strong> A)​   B)​   C)​-2i D)​   E)​2i
E)​2i
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34
Write the quotient in standard form. ​​ <strong>Write the quotient in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Write the quotient in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Write the quotient in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Write the quotient in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Write the quotient in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Write the quotient in standard form. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
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35
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​</strong> A)   B)-   C)​   D)   E)​

A) <strong>Write the complex number in standard form.​   ​</strong> A)   B)-   C)​   D)   E)​
B)- <strong>Write the complex number in standard form.​   ​</strong> A)   B)-   C)​   D)   E)​
C)​ <strong>Write the complex number in standard form.​   ​</strong> A)   B)-   C)​   D)   E)​
D) <strong>Write the complex number in standard form.​   ​</strong> A)   B)-   C)​   D)   E)​
E)​ <strong>Write the complex number in standard form.​   ​</strong> A)   B)-   C)​   D)   E)​
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36
Write the complex number in standard form. <strong>Write the complex number in standard form.  </strong> A)   B)   C)   D)   E)

A) <strong>Write the complex number in standard form.  </strong> A)   B)   C)   D)   E)
B) <strong>Write the complex number in standard form.  </strong> A)   B)   C)   D)   E)
C) <strong>Write the complex number in standard form.  </strong> A)   B)   C)   D)   E)
D) <strong>Write the complex number in standard form.  </strong> A)   B)   C)   D)   E)
E) <strong>Write the complex number in standard form.  </strong> A)   B)   C)   D)   E)
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37
Write the complex number in standard form.​ <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i

A)(24 - <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i )- (6 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i - 4 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i )i
B)(24 + <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i )+ (6 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i - 4 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i )i
C)(24 - <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i )+ (6 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i - 4 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i )i
D)(24 + <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i )- (6 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i - 4 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i )i
E)(24 + <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i )+ (6 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i + 4 <strong>Write the complex number in standard form.​   ​</strong> A)(24 -   )- (6   - 4   )i B)(24 +   )+ (6   - 4   )i C)(24 -   )+ (6   - 4   )i D)(24 +   )- (6   - 4   )i E)(24 +   )+ (6   + 4   )i )i
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38
Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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39
Solve the equation and write complex solutions in standard form.​ <strong>Solve the equation and write complex solutions in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Solve the equation and write complex solutions in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Solve the equation and write complex solutions in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Solve the equation and write complex solutions in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Solve the equation and write complex solutions in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Solve the equation and write complex solutions in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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40
Write the quotient in standard form. ​​ <strong>Write the quotient in standard form. ​​   ​</strong> A)3 -   i B)3 - 3i C)3     i D)3i -   E)3i +

A)3 - <strong>Write the quotient in standard form. ​​   ​</strong> A)3 -   i B)3 - 3i C)3     i D)3i -   E)3i +   i
B)3 - 3i
C)3 <strong>Write the quotient in standard form. ​​   ​</strong> A)3 -   i B)3 - 3i C)3     i D)3i -   E)3i +   <strong>Write the quotient in standard form. ​​   ​</strong> A)3 -   i B)3 - 3i C)3     i D)3i -   E)3i +   i
D)3i - <strong>Write the quotient in standard form. ​​   ​</strong> A)3 -   i B)3 - 3i C)3     i D)3i -   E)3i +
E)3i + <strong>Write the quotient in standard form. ​​   ​</strong> A)3 -   i B)3 - 3i C)3     i D)3i -   E)3i +
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41
Do the operation and express the answer in a + bi form.Use fractions in your answer.​ Do the operation and express the answer in a + bi form.Use fractions in your answer.​
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42
Do the operation and express the answer in a + bi form. ​
(5 - 5i)+ (8 + 3i)

A)2 - 13i
B)- 13 + 2i
C)13 + 2i
D)- 13 - 2i
E)13 - 2i
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43
Do the operation and express the answer in a + bi form.​ <strong>Do the operation and express the answer in a + bi form.​   ​</strong> A)19i B)- 19i C)- 190i D)- 19 E)19

A)19i
B)- 19i
C)- 190i
D)- 19
E)19
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44
Simplify the complex number and write it in standard form.​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​14i<sup>3</sup> B)​​-14i<sup>3</sup> C)​14 D)​​​-14i E)​14i

A)​14i3
B)​​-14i3
C)​14
D)​​​-14i
E)​14i
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45
Do the operation and express the answer in a + bi form.​ <strong>Do the operation and express the answer in a + bi form.​   ​</strong> A)- 8 + 14i B)8 + 7i C)- 8 + 7i D)- 8 - 7i E)8 - 7i

A)- 8 + 14i
B)8 + 7i
C)- 8 + 7i
D)- 8 - 7i
E)8 - 7i
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46
Simplify the complex number and write it in standard form. ​​ <strong>Simplify the complex number and write it in standard form. ​​   ​</strong> A)​16 B)​-16 C)​16i D)​​-16i E)​2i

A)​16
B)​-16
C)​16i
D)​​-16i
E)​2i
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47
Simplify the complex number and write it in standard form.​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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48
Do the operation and express the answer in a + bi form.Do not use parentheses in your answer.

(3 - 8i)+ (10 + 5i)
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49
Simplify the complex number and write it in standard form.​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)185,193i B)-57i C)-   i D)   i E)-185,193i

A)185,193i
B)-57i
C)- <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)185,193i B)-57i C)-   i D)   i E)-185,193i i
D) <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)185,193i B)-57i C)-   i D)   i E)-185,193i i
E)-185,193i
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50
Do the operation and express the answer in a + bi form.​ <strong>Do the operation and express the answer in a + bi form.​   ​</strong> A)19 - 4i B)- 38 - 8i C)19 + 4i D)- 38 + 8i E)- 19 + 4i

A)19 - 4i
B)- 38 - 8i
C)19 + 4i
D)- 38 + 8i
E)- 19 + 4i
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51
Simplify the complex number and write it in standard form.​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​8i

A)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​8i
B)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​8i
C)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​8i
D)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​8i
E)​8i
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52
Describe the error.​ <strong>Describe the error.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Describe the error.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Describe the error.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Describe the error.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Describe the error.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Describe the error.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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53
Simplify the complex number and write it in standard form.​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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54
Simplify the expression. ​
I -14

A)i
B)-3i
C)-i
D)-1
E)1
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55
Simplify the complex number and write it in standard form.​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)-1 B)​-i C)​1 D)​i E)5

A)-1
B)​-i
C)​1
D)​i
E)5
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56
Raise the complex number to the fourth power. ​
​4i

A)​256
B)-64
C)64
D)16
E)-256
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57
Do the operation and express the answer in a + bi form.​ <strong>Do the operation and express the answer in a + bi form.​   ​</strong> A)28 - 5 i B)- 28 + 6 i C)- 5 + 6 i D)5 - 6 i E)28 + 6 i

A)28 - 5 i
B)- 28 + 6 i
C)- 5 + 6 i
D)5 - 6 i
E)28 + 6 i
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58
Simplify the complex number and write it in standard form.​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Simplify the complex number and write it in standard form.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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59
Do the operation and express the answer in a + bi form.​ <strong>Do the operation and express the answer in a + bi form.​   ​</strong> A)-17i B)-85i C)-17 D)17i E)17

A)-17i
B)-85i
C)-17
D)17i
E)17
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