Question 1

For the complex number $a + b i$ , the a is the real part of the complex number, and bi is called the imaginary part.

Accepted Answer

A) True 
 B)False

Question 2

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution.
-$n = - 8 , n = \frac { 1 } { 2 }$

Accepted Answer

A)  $2 n ^ { 2 } + 11 n - 6 = 0$ 
B)  $2 n ^ { 2 } + 9 n - 5 = 0$ 
C)  $2 n ^ { 2 } + 15 n - 8 = 0$ 
A)  $2 n ^ { 2 } + 11 n - 6 = 0$ 
B)  $2 n ^ { 2 } + 9 n - 5 = 0$ 
C)  $2 n ^ { 2 } + 15 n - 8 = 0$

Question 3

Solve the inequality. $\frac { - x + 5 } { x - 1 } \leq 0$ Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality. \(\frac { - x...

Question 4

Solve the quadratic equation using the method that seems most appropriate to you. $x ^ { 2 } - 10 x = 20$

Accepted Answer

A)  $\{ 10 \pm 6 \sqrt { 5 } \}$ 
B)  $\{ 10 - 6 \sqrt { 5 } \}$ 
C)  $\{ 5 \pm 3 \sqrt { 5 } \}$ 
D)  $\{ 5 - 3 \sqrt { 5 } \}$ 
E)  $\{ 10 + 6 \sqrt { 5 } \}$ 
A)  $\{ 10 \pm 6 \sqrt { 5 } \}$ 
B)  $\{ 10 - 6 \sqrt { 5 } \}$ 
C)  $\{ 5 \pm 3 \sqrt { 5 } \}$ 
D)  $\{ 5 - 3 \sqrt { 5 } \}$ 
E)  $\{ 10 + 6 \sqrt { 5 } \}$

Question 5

Solve the quadratic equation by factoring and applying the property " ab = 0 if and only if a = 0 or b = 0." 5 y  2 + 20 y = 0 Enter your answer as two numbers, separated by a comma.

Accepted Answer

Question 6

Solve the quadratic equation using the method that seems most appropriate to you. $x ^ { 2 } - 6 x = 18$ Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve the quadratic equation using the method...

Question 7

Write $\sqrt { - 294 }$ in terms of i and simplify.

Accepted Answer

A)  $- 7 i \sqrt { 6 }$ 
B)  $7 i \sqrt { 6 }$ 
C)  $7 \sqrt { 6 }$ 
A)  $- 7 i \sqrt { 6 }$ 
B)  $7 i \sqrt { 6 }$ 
C)  $7 \sqrt { 6 }$

Question 8

Find $( 7 + 4 i ) ^ { 2 }$ and express the answer in the standard form of a complex number.

Accepted Answer

A)  33 $-$ 56 i 
B)  $-$ 33 $-$ 56 i 
C)  33 i + 56 
D)  33 + 56 i 
A)  33 $-$ 56 i 
B)  $-$ 33 $-$ 56 i 
C)  33 i + 56 
D)  33 + 56 i

Question 9

Use the quadratic formula to solve the quadratic equation. $-$ y 2 + 15 y = 5

Accepted Answer

A)  $\left\{ \frac { 15 \pm \sqrt { 205 } } { 2 } \right\}$ 
B)  $\{ 15 \pm \sqrt { 205 } \}$ 
C)  $\left\{ \frac { 13 \pm \sqrt { 205 } } { 7 } \right\}$ 
D)  $\left\{ \frac { 15 \pm \sqrt { 205 } } { 7 } \right\}$ 
E)  $\left\{ \frac { 18 \pm \sqrt { 205 } } { 2 } \right\}$ 
A)  $\left\{ \frac { 15 \pm \sqrt { 205 } } { 2 } \right\}$ 
B)  $\{ 15 \pm \sqrt { 205 } \}$ 
C)  $\left\{ \frac { 13 \pm \sqrt { 205 } } { 7 } \right\}$ 
D)  $\left\{ \frac { 15 \pm \sqrt { 205 } } { 7 } \right\}$ 
E)  $\left\{ \frac { 18 \pm \sqrt { 205 } } { 2 } \right\}$

Question 10

Solve the inequality. $( x - 1 ) ( 2 x - 5 ) \leq 0$

Accepted Answer

A)  $\left[ 1 , \frac { 5 } { 2 } \right]$ 
B)  $( - \infty , - 2 ) \cup ( 1 , \infty )$ 
C)  $( - \infty , 2 ) \cup ( 5 , \infty )$ 
A)  $\left[ 1 , \frac { 5 } { 2 } \right]$ 
B)  $( - \infty , - 2 ) \cup ( 1 , \infty )$ 
C)  $( - \infty , 2 ) \cup ( 5 , \infty )$

Question 11

Use the method of completing the square to solve the quadratic equation. x ( x + 14 ) = -31 Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Use the method of completing the square...

Question 12

Write $\frac { \sqrt { - 150 } } { \sqrt { - 6 } }$ in terms of i , perform the indicated operations, and simplify.

Accepted Answer

The answer of Write \(\frac { \sqrt { - 150...

Question 13

Solve the quadratic equation. $8 t ^ { 2 } + 15 = 0$

Accepted Answer

A)  $t = - \frac { \sqrt { 30 } } { 4 } i \text { or } t = \frac { \sqrt { 30 } } { 4 } i$ 
B)  $t = - \frac { \sqrt { 15 } } { 8 } i \text { or } t = \frac { \sqrt { 15 } } { 8 } i$ 
C)  $t = - \frac { \sqrt { 30 } } { 4 } \text { or } t = \frac { \sqrt { 30 } } { 4 }$ 
D)  $t = - \frac { \sqrt { 15 } } { 2 } i \text { or } t = \frac { \sqrt { 15 } } { 2 } i$ 
A)  $t = - \frac { \sqrt { 30 } } { 4 } i \text { or } t = \frac { \sqrt { 30 } } { 4 } i$ 
B)  $t = - \frac { \sqrt { 15 } } { 8 } i \text { or } t = \frac { \sqrt { 15 } } { 8 } i$ 
C)  $t = - \frac { \sqrt { 30 } } { 4 } \text { or } t = \frac { \sqrt { 30 } } { 4 }$ 
D)  $t = - \frac { \sqrt { 15 } } { 2 } i \text { or } t = \frac { \sqrt { 15 } } { 2 } i$

Question 14

Solve the radical equation. Don t forget, you must check potential solutions. $\sqrt { 5 x } + 10 = x$ x = __________

Accepted Answer

The answer of Solve the radical equation. Don t forget,...

Question 15

Solve each quadratic equation using the method that seems most appropriate. $( x - 4 ) ^ { 2 } = 15$

Accepted Answer

A)  $x = - 4 - \sqrt { 15 } , x = - 4 + \sqrt { 15 }$ 
B)  $x = \sqrt { 15 } - 4 , x = \sqrt { 15 } - 4$ 
C)  $x = 2 + \sqrt { 15 } , x = 2 - \sqrt { 15 }$ 
D)  $x = 4 - \sqrt { 15 } , x = 4 + \sqrt { 15 }$ 
A)  $x = - 4 - \sqrt { 15 } , x = - 4 + \sqrt { 15 }$ 
B)  $x = \sqrt { 15 } - 4 , x = \sqrt { 15 } - 4$ 
C)  $x = 2 + \sqrt { 15 } , x = 2 - \sqrt { 15 }$ 
D)  $x = 4 - \sqrt { 15 } , x = 4 + \sqrt { 15 }$

Question 16

Use the quadratic formula to solve the quadratic equation. y 2 $-$ 80 y = 64 Please enter your answer as fractions and/or two numbers, separated by a comma.

Accepted Answer

The answer of Use the quadratic formula to solve the...

Question 17

Solve the inequality. ( x + 2 )( x $-$ 1 ) 0

Accepted Answer

A)  $( - \infty , - 1 ) \cup ( 2 , \infty )$ 
B)  $( - \infty , - 2 ) \cup ( 1 , \infty )$ 
C)  $( - \infty , 1 ) \cup ( 2 , \infty )$ 
A)  $( - \infty , - 1 ) \cup ( 2 , \infty )$ 
B)  $( - \infty , - 2 ) \cup ( 1 , \infty )$ 
C)  $( - \infty , 1 ) \cup ( 2 , \infty )$

Question 18

Use the method of completing the square to solve the quadratic equation. x 2 $-$ 16 x = 65

Accepted Answer

A)  x = 8 $-$ i , x = 8 + i 
B)  x = 8 $-$ i , x = 8 + i . 
C)  x = 8 $-$ i , x = 8 + i. 
A)  x = 8 $-$ i , x = 8 + i 
B)  x = 8 $-$ i , x = 8 + i . 
C)  x = 8 $-$ i , x = 8 + i.

Question 19

Use the quadratic formula to solve the quadratic equation. 10 x 2 + 7 x $-$ 6 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Accepted Answer

The answer of Use the quadratic formula to solve the...

Question 20

Use the quadratic formula to solve the quadratic equation. $-$ 8 y 2 + 5 y + 693 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Accepted Answer

The answer of Use the quadratic formula to solve the...

For the complex number $a + b i$ , the a is the real part of the complex number, and bi is called the imaginary part.

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - $n = - 8 , n = \frac { 1 } { 2 }$

Solve the inequality. $\frac { - x + 5 } { x - 1 } \leq 0$ Please enter your answer in interval notation.

Solve the quadratic equation using the method that seems most appropriate to you. $x ^ { 2 } - 10 x = 20$

Solve the quadratic equation by factoring and applying the property " ab = 0 if and only if a = 0 or b = 0." 5 y ² + 20 y = 0 Enter your answer as two numbers, separated by a comma.

Solve the quadratic equation using the method that seems most appropriate to you. $x ^ { 2 } - 6 x = 18$ Please enter your answer as two numbers, separated by a comma.

Write $\sqrt { - 294 }$ in terms of i and simplify.

Find $( 7 + 4 i ) ^ { 2 }$ and express the answer in the standard form of a complex number.

Use the quadratic formula to solve the quadratic equation. $-$ y 2 + 15 y = 5

Solve the inequality. $( x - 1 ) ( 2 x - 5 ) \leq 0$

Use the method of completing the square to solve the quadratic equation. x ( x + 14 ) = -31 Please enter your answer as two numbers, separated by a comma.

Write $\frac { \sqrt { - 150 } } { \sqrt { - 6 } }$ in terms of i , perform the indicated operations, and simplify.

Solve the quadratic equation. $8 t ^ { 2 } + 15 = 0$

Solve the radical equation. Don t forget, you must check potential solutions. $\sqrt { 5 x } + 10 = x$ x = __________

Solve each quadratic equation using the method that seems most appropriate. $( x - 4 ) ^ { 2 } = 15$

Use the quadratic formula to solve the quadratic equation. y 2 $-$ 80 y = 64 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve the inequality. ( x + 2 )( x $-$ 1 ) 0

Use the method of completing the square to solve the quadratic equation. x 2 $-$ 16 x = 65

Use the quadratic formula to solve the quadratic equation. 10 x 2 + 7 x $-$ 6 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Use the quadratic formula to solve the quadratic equation. $-$ 8 y 2 + 5 y + 693 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 11: Quadratic Equations and Inequalities

For the complex number a+bia + b ia+bi , the a is the real part of the complex number, and bi is called the imaginary part.

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - n=−8,n=12n = - 8 , n = \frac { 1 } { 2 }n=−8,n=21​

Solve the inequality. −x+5x−1≤0\frac { - x + 5 } { x - 1 } \leq 0x−1−x+5​≤0 Please enter your answer in interval notation.

Solve the quadratic equation using the method that seems most appropriate to you. x2−10x=20x ^ { 2 } - 10 x = 20x2−10x=20

Solve the quadratic equation by factoring and applying the property " ab = 0 if and only if a = 0 or b = 0." 5 y 2 + 20 y = 0 Enter your answer as two numbers, separated by a comma.

Solve the quadratic equation using the method that seems most appropriate to you. x2−6x=18x ^ { 2 } - 6 x = 18x2−6x=18 Please enter your answer as two numbers, separated by a comma.

Write −294\sqrt { - 294 }−294​ in terms of i and simplify.

Find (7+4i)2( 7 + 4 i ) ^ { 2 }(7+4i)2 and express the answer in the standard form of a complex number.

Use the quadratic formula to solve the quadratic equation. −-− y 2 + 15 y = 5

Solve the inequality. (x−1)(2x−5)≤0( x - 1 ) ( 2 x - 5 ) \leq 0(x−1)(2x−5)≤0

Use the method of completing the square to solve the quadratic equation. x ( x + 14 ) = -31 Please enter your answer as two numbers, separated by a comma.

Write −150−6\frac { \sqrt { - 150 } } { \sqrt { - 6 } }−6​−150​​ in terms of i , perform the indicated operations, and simplify.

Solve the quadratic equation. 8t2+15=08 t ^ { 2 } + 15 = 08t2+15=0

Solve the radical equation. Don t forget, you must check potential solutions. 5x+10=x\sqrt { 5 x } + 10 = x5x​+10=x x = __________

Solve each quadratic equation using the method that seems most appropriate. (x−4)2=15( x - 4 ) ^ { 2 } = 15(x−4)2=15

Use the quadratic formula to solve the quadratic equation. y 2 −-− 80 y = 64 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve the inequality. ( x + 2 )( x −-− 1 ) 0

Use the method of completing the square to solve the quadratic equation. x 2 −-− 16 x = 65

Use the quadratic formula to solve the quadratic equation. 10 x 2 + 7 x −-− 6 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Use the quadratic formula to solve the quadratic equation. −-− 8 y 2 + 5 y + 693 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

For the complex number $a + b i$ , the a is the real part of the complex number, and bi is called the imaginary part.

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - $n = - 8 , n = \frac { 1 } { 2 }$

Solve the inequality. $\frac { - x + 5 } { x - 1 } \leq 0$ Please enter your answer in interval notation.

Solve the quadratic equation using the method that seems most appropriate to you. $x ^ { 2 } - 10 x = 20$

Solve the quadratic equation by factoring and applying the property " ab = 0 if and only if a = 0 or b = 0." 5 y ² + 20 y = 0 Enter your answer as two numbers, separated by a comma.

Solve the quadratic equation using the method that seems most appropriate to you. $x ^ { 2 } - 6 x = 18$ Please enter your answer as two numbers, separated by a comma.

Write $\sqrt { - 294 }$ in terms of i and simplify.

Find $( 7 + 4 i ) ^ { 2 }$ and express the answer in the standard form of a complex number.

Use the quadratic formula to solve the quadratic equation. $-$ y 2 + 15 y = 5

Solve the inequality. $( x - 1 ) ( 2 x - 5 ) \leq 0$

Write $\frac { \sqrt { - 150 } } { \sqrt { - 6 } }$ in terms of i , perform the indicated operations, and simplify.

Solve the quadratic equation. $8 t ^ { 2 } + 15 = 0$

Solve the radical equation. Don t forget, you must check potential solutions. $\sqrt { 5 x } + 10 = x$ x = __________

Solve each quadratic equation using the method that seems most appropriate. $( x - 4 ) ^ { 2 } = 15$

Use the quadratic formula to solve the quadratic equation. y 2 $-$ 80 y = 64 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve the inequality. ( x + 2 )( x $-$ 1 ) 0

Use the method of completing the square to solve the quadratic equation. x 2 $-$ 16 x = 65

Use the quadratic formula to solve the quadratic equation. 10 x 2 + 7 x $-$ 6 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Use the quadratic formula to solve the quadratic equation. $-$ 8 y 2 + 5 y + 693 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.