Question 1

Rewrite without rational exponents, and simplify, if possible.
-

Accepted Answer

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

Question 2

Solve.
-

Accepted Answer

A)  18 
B)  9 
C)  No solution 
D)  18, 5 
A)  18 
B)  9 
C)  No solution 
D)  18, 5

Question 3

Rewrite with positive exponents, and simplify, if possible.
-

Accepted Answer

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

Question 4

Simplify by factoring. Assume no radicands were formed by raising negative numbers to even powers.
-

Accepted Answer

A)  7 
B)    
C)  18 
D)    
A)  7 
B)    
C)  18 
D)

Question 5

Find the following. Assume that the letter can represent any real number.
-(-14y)2

Accepted Answer

A)  -14 y 
B)  14 y 
C)  196 y 
D)  14y 
A)  -14 y 
B)  14 y 
C)  196 y 
D)  14y

Question 6

Rewrite without rational exponents, and simplify, if possible.
-

Accepted Answer

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

Question 7

Rewrite with positive exponents, and simplify, if possible.
-

Accepted Answer

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

Question 8

Rewrite with positive exponents, and simplify, if possible.
-

Accepted Answer

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

Question 9

Multiply. Assume that no radicands were formed by raising negative numbers to even powers.
-

Accepted Answer

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

Question 10

Find the domain of f.
-f(x) =

Accepted Answer

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

Question 11

Solve.
-

Accepted Answer

A)  -2 
B)  3, 8 
C)  2 
D)  2, 38 
A)  -2 
B)  3, 8 
C)  2 
D)  2, 38

Question 12

Multiply and simplify. Assume no radicands were formed by raising negative numbers to even powers.
-

Accepted Answer

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

Question 13

Find the following. Assume that letters can represent any real number.
-

Accepted Answer

A)    
B)  x 
C)  Not a real number 
D)    
A)    
B)  x 
C)  Not a real number 
D)

Question 14

Find the following. Assume that the letter can represent any real number.
-

Accepted Answer

A)  13y 
B)    
C)    
D)    
A)  13y 
B)    
C)    
D)

Question 15

Simplify.
-

Accepted Answer

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

Question 16

Add or subtract and simplify.
-(9 + 5i) - (-6 + i)

Accepted Answer

A)  15 - 4i 
B)  -15 - 4i 
C)  15 + 4i 
D)  3 + 6i 
A)  15 - 4i 
B)  -15 - 4i 
C)  15 + 4i 
D)  3 + 6i

Question 17

Use rational exponents to simplify. Write the answer in radical notation if appropriate.
-

Accepted Answer

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

Question 18

Simplify.
-- 256

Accepted Answer

A)  -16 
B)  does not exist as a real number 
C)  16 
D)  -128 
A)  -16 
B)  does not exist as a real number 
C)  16 
D)  -128

Question 19

Rationalize the denominator. Assume that no radicands were formed by raising negative numbers to even powers.
-

Accepted Answer

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

Question 20

Use the laws of exponents to simplify. Write the answer with positive exponents.
-

Accepted Answer

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

Rewrite without rational exponents, and simplify, if possible. -

Solve. -

Rewrite with positive exponents, and simplify, if possible. -

Simplify by factoring. Assume no radicands were formed by raising negative numbers to even powers. -

Find the following. Assume that the letter can represent any real number. -(-14y)2

Rewrite without rational exponents, and simplify, if possible. -

Rewrite with positive exponents, and simplify, if possible. -

Rewrite with positive exponents, and simplify, if possible. -

Multiply. Assume that no radicands were formed by raising negative numbers to even powers. -

Find the domain of f. -f(x) =

Solve. -

Multiply and simplify. Assume no radicands were formed by raising negative numbers to even powers. -

Find the following. Assume that letters can represent any real number. -

Find the following. Assume that the letter can represent any real number. -

Simplify. -

Add or subtract and simplify. -(9 + 5i) - (-6 + i)

Use rational exponents to simplify. Write the answer in radical notation if appropriate. -

Simplify. -- 256

Rationalize the denominator. Assume that no radicands were formed by raising negative numbers to even powers. -

Use the laws of exponents to simplify. Write the answer with positive exponents. -

Introduction

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Calculating Means and Medians of Data Sets

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Exam 11: Radical Expressions, Equations, and Functions

Rewrite without rational exponents, and simplify, if possible. -

Solve. -

Rewrite with positive exponents, and simplify, if possible. -

Simplify by factoring. Assume no radicands were formed by raising negative numbers to even powers. -

Find the following. Assume that the letter can represent any real number. -(-14y)2

Rewrite without rational exponents, and simplify, if possible. -

Rewrite with positive exponents, and simplify, if possible. -

Rewrite with positive exponents, and simplify, if possible. -

Multiply. Assume that no radicands were formed by raising negative numbers to even powers. -

Find the domain of f. -f(x) =

Solve. -

Multiply and simplify. Assume no radicands were formed by raising negative numbers to even powers. -

Find the following. Assume that letters can represent any real number. -

Find the following. Assume that the letter can represent any real number. -

Simplify. -

Add or subtract and simplify. -(9 + 5i) - (-6 + i)

Use rational exponents to simplify. Write the answer in radical notation if appropriate. -

Simplify. -- 256

Rationalize the denominator. Assume that no radicands were formed by raising negative numbers to even powers. -

Use the laws of exponents to simplify. Write the answer with positive exponents. -

Introduction

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Calculating Means and Medians of Data Sets

Filters