Question 1

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

Accepted Answer

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

Question 2

Use rational exponents to write a single radical expression.
-

Accepted Answer

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

Question 3

Simplify.
-

Accepted Answer

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

Question 4

Simplify.
-

Accepted Answer

A)  50 
B)  15 
C)  25 
D)  5 
A)  50 
B)  15 
C)  25 
D)  5

Question 5

Add or subtract and simplify.
-(5 - 4i) + (8 + 2i)

Accepted Answer

A)  -13 + 2i 
B)  -3 + 6i 
C)  13 + 2i 
D)  13 - 2i 
A)  -13 + 2i 
B)  -3 + 6i 
C)  13 + 2i 
D)  13 - 2i

Question 6

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

Accepted Answer

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

Question 7

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

Accepted Answer

A)  z + 7 
B)    
C)    
D)    
A)  z + 7 
B)    
C)    
D)

Question 8

Multiply.
-9i(2 - 5i)

Accepted Answer

A)  18i - 45 
B)    
C)  45 + 18i 
D)    
A)  18i - 45 
B)    
C)  45 + 18i 
D)

Question 9

Simplify.
-

Accepted Answer

A)  -4 
B)  4 
C)  -2 
D)  2 
A)  -4 
B)  4 
C)  -2 
D)  2

Question 10

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

Accepted Answer

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

Question 11

Rewrite with rational exponents.
-

Accepted Answer

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

Question 12

Simplify.
-

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

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

Accepted Answer

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

Question 15

Graph.
-

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

Add or subtract. Then simplify by collecting like radical terms, if possible. Assume that no radicands were formed by
raising negative numbers to even powers.
-

Accepted Answer

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

Question 18

Simplify.
-

Accepted Answer

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

Question 19

For the given function, find the indicated function value.
-For g(x) =   , find g(3).

Accepted Answer

A)    
B)    
C)    
D)  Does not exist as a real number 
A)    
B)    
C)    
D)  Does not exist as a real number

Question 20

Add or subtract. Then simplify by collecting like radical terms, if possible. Assume that no radicands were formed by
raising negative numbers to even powers.
--

Accepted Answer

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

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

Use rational exponents to write a single radical expression. -

Simplify. -

Simplify. -

Add or subtract and simplify. -(5 - 4i) + (8 + 2i)

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

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

Multiply. -9i(2 - 5i)

Simplify. -

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

Rewrite with rational exponents. -

Simplify. -

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

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

Graph. -

Simplify. -

Add or subtract. Then simplify by collecting like radical terms, if possible. Assume that no radicands were formed by raising negative numbers to even powers. -

Simplify. -

For the given function, find the indicated function value. -For g(x) = , find g(3).

Add or subtract. Then simplify by collecting like radical terms, if possible. Assume that no radicands were formed by raising negative numbers to even powers. --

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

Exam 11: Radical Expressions, Equations, and Functions

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

Use rational exponents to write a single radical expression. -

Simplify. -

Simplify. -

Add or subtract and simplify. -(5 - 4i) + (8 + 2i)

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

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

Multiply. -9i(2 - 5i)

Simplify. -

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

Rewrite with rational exponents. -

Simplify. -

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

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

Graph. -

Simplify. -

Add or subtract. Then simplify by collecting like radical terms, if possible. Assume that no radicands were formed by raising negative numbers to even powers. -

Simplify. -

For the given function, find the indicated function value. -For g(x) = , find g(3).

Add or subtract. Then simplify by collecting like radical terms, if possible. Assume that no radicands were formed by raising negative numbers to even powers. --

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