Question 1

Simplify. Assume all variables represent positive real numbers.
-

Accepted Answer

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

Question 2

Simplify.
-

Accepted Answer

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

Question 3

Divide.
-

Accepted Answer

A)  2 + 2i 
B)  Undefined 
C)  -2 + 2i 
D)  i 
A)  2 + 2i 
B)  Undefined 
C)  -2 + 2i 
D)  i

Question 4

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)  5 
B)  -5 
C)  -11.18 
D)  not a real number 
A)  5 
B)  -5 
C)  -11.18 
D)  not a real number

Question 5

Write the expression as a complex number in the form a + bi.
-15 +

Accepted Answer

A)    
B)    
C)    
D)  35 + 0i 
A)    
B)    
C)    
D)  35 + 0i

Question 6

Simplify.
-

Accepted Answer

The answer of Simplify.
- ...

Question 7

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

Accepted Answer

A)    
B)    
C)    
D)  - 8 
A)    
B)    
C)    
D)  - 8

Question 8

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)  100 
B)  -10 
C)  10 
D)  not a real number 
A)  100 
B)  -10 
C)  10 
D)  not a real number

Question 9

Simplify.
-

Accepted Answer

A)    
B)    
C)    
D)  28x 
A)    
B)    
C)    
D)  28x

Question 10

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

Accepted Answer

A)  -7, -8 
B)  1, 56 
C)  -7, 8 
D)  7, 8 
A)  -7, -8 
B)  1, 56 
C)  -7, 8 
D)  7, 8

Question 11

Solve. You will have to square both sides of the equation twice to eliminate all radicals.
-

Accepted Answer

A)  0 
B)  2, -2 
C)  -2 
D)  no real solution 
A)  0 
B)  2, -2 
C)  -2 
D)  no real solution

Question 12

Write the expression in exponential form. Assume that all variables represent positive real numbers.
-

Accepted Answer

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

Question 13

Solve the problem.
-Use the Pythagorean Theorem to find the length of the unknown side of the triangle. Write the answer as a radical in simplified form.

Accepted Answer

A)    
B)    
C)  25 
D)    
A)    
B)    
C)  25 
D)

Question 14

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)    
B)    
C)    
D)  not a real number 
A)    
B)    
C)    
D)  not a real number

Question 15

Solve. You will have to square both sides of the equation twice to eliminate all radicals.
-

Accepted Answer

A)  2 
B)  1 
C)  -1 
D)  no real solution 
A)  2 
B)  1 
C)  -1 
D)  no real solution

Question 16

Write the expression in exponential form. Assume that all variables represent positive real numbers.
-

Accepted Answer

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

Question 17

Simplify.
-

Accepted Answer

The answer of Simplify.
- ...

Question 18

Simplify.
-

Accepted Answer

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

Question 19

Simplify by rationalizing the denominator.
-

Accepted Answer

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

Question 20

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

Accepted Answer

A)  0 
B)  8 
C)  -8 
D)  no real solution 
A)  0 
B)  8 
C)  -8 
D)  no real solution

Simplify. Assume all variables represent positive real numbers. -

Simplify. -

Divide. -

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. --

Write the expression as a complex number in the form a + bi. -15 +

Simplify. -

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. -

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

Solve. You will have to square both sides of the equation twice to eliminate all radicals. -

Write the expression in exponential form. Assume that all variables represent positive real numbers. -

Solve the problem. -Use the Pythagorean Theorem to find the length of the unknown side of the triangle. Write the answer as a radical in simplified form.

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. -

Solve. You will have to square both sides of the equation twice to eliminate all radicals. -

Write the expression in exponential form. Assume that all variables represent positive real numbers. -

Simplify. -

Simplify. -

Simplify by rationalizing the denominator. -

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

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. Assume all variables represent positive real numbers. -

Simplify. -

Divide. -

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. --

Write the expression as a complex number in the form a + bi. -15 +

Simplify. -

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. -

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

Solve. You will have to square both sides of the equation twice to eliminate all radicals. -

Write the expression in exponential form. Assume that all variables represent positive real numbers. -

Solve the problem. -Use the Pythagorean Theorem to find the length of the unknown side of the triangle. Write the answer as a radical in simplified form.

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. -

Solve. You will have to square both sides of the equation twice to eliminate all radicals. -

Write the expression in exponential form. Assume that all variables represent positive real numbers. -

Simplify. -

Simplify. -

Simplify by rationalizing the denominator. -

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

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