Question 1

Multiply. Write the result in the form a + bi.
-(6 - 6i)(6 + 8i)

Accepted Answer

A)    + 12i + 36 
B)  -12 - 84i 
C)  84 + 12i 
D)  84 - 12i 
A)    + 12i + 36 
B)  -12 - 84i 
C)  84 + 12i 
D)  84 - 12i

Question 2

Simplify.
-

Accepted Answer

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

Question 3

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

Accepted Answer

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

Question 4

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

Accepted Answer

A)  -9 
B)  36 
C)  18 
D)    
A)  -9 
B)  36 
C)  18 
D)

Question 5

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.
-

Accepted Answer

A)  36.5 
B)  3.48 
C)  3.49 
D)  not a real number 
A)  36.5 
B)  3.48 
C)  3.49 
D)  not a real number

Question 6

Simplify by rationalizing the denominator.
-

Accepted Answer

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

Question 7

Write the expression as a complex number in the form a + bi.
-6

Accepted Answer

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

Question 8

Simplify.
-

Accepted Answer

A)    
B)  2 
C)    
D)  10 
A)    
B)  2 
C)    
D)  10

Question 9

Simplify.
-

Accepted Answer

A)    
B)    
C)  5 
D)    
A)    
B)    
C)  5 
D)

Question 10

Factor. Write the answer without negative exponents.
-

Accepted Answer

A)  1 
B)    
C)  0 
D)    
A)  1 
B)    
C)  0 
D)

Question 11

Multiply. Write the result in the form a + bi.
-(7 + 5i)(4 - 3i)

Accepted Answer

A)  43 + 1i 
B)  13 + 41i 
C)    
D)  43 - 1i 
A)  43 + 1i 
B)  13 + 41i 
C)    
D)  43 - 1i

Question 12

Simplify.
-

Accepted Answer

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

Question 13

Simplify.
-

Accepted Answer

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

Question 14

Simplify. Assume all variables represent positive real numbers.
-

Accepted Answer

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

Question 15

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

Accepted Answer

A)  - 6561 
B)  9 
C)  6561 
D)  no real solution 
A)  - 6561 
B)  9 
C)  6561 
D)  no real solution

Question 16

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

Accepted Answer

A)  19,683 
B)  2187 
C)  81 
D)  6561 
A)  19,683 
B)  2187 
C)  81 
D)  6561

Question 17

Write the expression as a complex number in the form a + bi.
-4i

Accepted Answer

A)  4 - 4i 
B)    
C)    
D)    
A)  4 - 4i 
B)    
C)    
D)

Question 18

Simplify.
-

Accepted Answer

A)    
B)  5 
C)  17 
D)  -1 
A)    
B)  5 
C)  17 
D)  -1

Question 19

Simplify.
-

Accepted Answer

A)    
B)  49 
C)    
D)  7 
A)    
B)  49 
C)    
D)  7

Question 20

Simplify.
--

Accepted Answer

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

Multiply. Write the result in the form a + bi. -(6 - 6i)(6 + 8i)

Simplify. -

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

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

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest hundredth. If the expression is not a real number, so state. -

Simplify by rationalizing the denominator. -

Write the expression as a complex number in the form a + bi. -6

Simplify. -

Simplify. -

Factor. Write the answer without negative exponents. -

Multiply. Write the result in the form a + bi. -(7 + 5i)(4 - 3i)

Simplify. -

Simplify. -

Simplify. Assume all variables represent positive real numbers. -

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

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

Write the expression as a complex number in the form a + bi. -4i

Simplify. -

Simplify. -

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

Multiply. Write the result in the form a + bi. -(6 - 6i)(6 + 8i)

Simplify. -

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

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

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest hundredth. If the expression is not a real number, so state. -

Simplify by rationalizing the denominator. -

Write the expression as a complex number in the form a + bi. -6

Simplify. -

Simplify. -

Factor. Write the answer without negative exponents. -

Multiply. Write the result in the form a + bi. -(7 + 5i)(4 - 3i)

Simplify. -

Simplify. -

Simplify. Assume all variables represent positive real numbers. -

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

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

Write the expression as a complex number in the form a + bi. -4i

Simplify. -

Simplify. -

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