Question 1

Simplify by rationalizing the denominator.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 2

Solve and check your solution(s). If the equation has no real solution, so state.
-  2

Accepted Answer

A)  3 
B)  -5 
C)  7 
D)  5 
A)  3 
B)  -5 
C)  7 
D)  5

Question 3

Add or subtract.
-

Accepted Answer

A)    
B)  1 + 0i 
C)  1 + i 
D)  3 - 2i 
A)    
B)  1 + 0i 
C)  1 + i 
D)  3 - 2i

Question 4

Simplify by rationalizing the denominator.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 5

Evaluate if possible. If the expression is not a real number, so state.
-

Accepted Answer

A)  -81 
B)  729 
C)  81 
D)  not a real number 
A)  -81 
B)  729 
C)  81 
D)  not a real number

Question 6

Add or subtract.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

Provide an appropriate response.
-A variable with an exponent is a perfect square if the exponent is divisible by .

Accepted Answer

A)  3 
B)  4 
C)  1 
D)  2 
A)  3 
B)  4 
C)  1 
D)  2

Question 8

Provide an appropriate response.
-The expression   is not considered simplified since the contains a radical.

Accepted Answer

A)  denominator 
B)  radicand 
C)  index 
D)  numerator 
A)  denominator 
B)  radicand 
C)  index 
D)  numerator

Question 9

Write the expression as a complex number in the form a + bi.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

Multiply. Write the result in the form a + bi.
-

Accepted Answer

A)    )- 29i 
B)  29 + 126i 
C)    
D)    
A)    )- 29i 
B)  29 + 126i 
C)    
D)

Question 11

Evaluate.
-

Accepted Answer

A)  i 
B)  -i 
C)  1 
D)  -1 
A)  i 
B)  -i 
C)  1 
D)  -1

Question 12

Write as an absolute value.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

Solve and check your solution(s). If the equation has no real solution, so state.
-

Accepted Answer

A)    
B)  0, 121 
C)  0, 169 
D)  0, 81 
A)    
B)  0, 121 
C)  0, 169 
D)  0, 81

Question 14

Simplify. Assume all variables represent positive real numbers.
-

Accepted Answer

A)  1 
B)    
C)    
D)    
A)  1 
B)    
C)    
D)

Question 15

Simplify. Write the answer in exponential form without negative exponents.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Simplify.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 17

Simplify.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Simplify.
-

Accepted Answer

A)    
B)  0 
C)    
D)    
A)    
B)  0 
C)    
D)

Question 19

Add or subtract.
-(8 - 2i) + (-8 + 2i)

Accepted Answer

A)  -16 - 4i 
B)  -16 + 4i 
C)  16 - 4i 
D)  0 
A)  -16 - 4i 
B)  -16 + 4i 
C)  16 - 4i 
D)  0

Question 20

Simplify.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Simplify by rationalizing the denominator. -

Solve and check your solution(s). If the equation has no real solution, so state. - 2

Add or subtract. -

Simplify by rationalizing the denominator. -

Evaluate if possible. If the expression is not a real number, so state. -

Add or subtract. -

Provide an appropriate response. -A variable with an exponent is a perfect square if the exponent is divisible by .

Provide an appropriate response. -The expression is not considered simplified since the contains a radical.

Write the expression as a complex number in the form a + bi. -

Multiply. Write the result in the form a + bi. -

Evaluate. -

Write as an absolute value. -

Solve and check your solution(s). If the equation has no real solution, so state. -

Simplify. Assume all variables represent positive real numbers. -

Simplify. Write the answer in exponential form without negative exponents. -

Simplify. -

Simplify. -

Simplify. -

Add or subtract. -(8 - 2i) + (-8 + 2i)

Simplify. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Quadratic Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters

Exam 11: Roots, Radicals, and Complex Numbers

Simplify by rationalizing the denominator. -

Solve and check your solution(s). If the equation has no real solution, so state. - 2

Add or subtract. -

Simplify by rationalizing the denominator. -

Evaluate if possible. If the expression is not a real number, so state. -

Add or subtract. -

Provide an appropriate response. -A variable with an exponent is a perfect square if the exponent is divisible by .

Provide an appropriate response. -The expression is not considered simplified since the contains a radical.

Write the expression as a complex number in the form a + bi. -

Multiply. Write the result in the form a + bi. -

Evaluate. -

Write as an absolute value. -

Solve and check your solution(s). If the equation has no real solution, so state. -

Simplify. Assume all variables represent positive real numbers. -

Simplify. Write the answer in exponential form without negative exponents. -

Simplify. -

Simplify. -

Simplify. -

Add or subtract. -(8 - 2i) + (-8 + 2i)

Simplify. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Quadratic Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters