Question 1

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 2

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)  cannot simplify 
B)    
C)    
D)    
A)  cannot simplify 
B)    
C)    
D)

Question 3

Use rational exponents to write a single radical expression.
-

Accepted Answer

A)    
B)  42 
C)    
D)    
A)    
B)  42 
C)    
D)

Question 4

Divide and simplify. Assume that all expressions under radicals represent positive numbers.
-

Accepted Answer

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

Question 5

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

Accepted Answer

A)  27 
B)  9 
C)    
D)    
A)  27 
B)  9 
C)    
D)

Question 6

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

Accepted Answer

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

Question 7

Graph.
-

Accepted Answer

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

Question 8

Simplify to the form a + bi.
-

Accepted Answer

A)  74 
B)  10 
C)  42 + 32i 
D)  42 - 32i 
A)  74 
B)  10 
C)  42 + 32i 
D)  42 - 32i

Question 9

Simplify.
-

Accepted Answer

A)    
B)    
C)    
D)  6x 
A)    
B)    
C)    
D)  6x

Question 10

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

Accepted Answer

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

Question 11

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

Accepted Answer

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

Question 12

Solve the problem. If necessary, round to the nearest tenth.
-On a sunny day, a tree and its shadow form the sides of a right triangle. If the hypotenuse is 40 m long and the tree is 32 m tall, how long is the shadow?

Accepted Answer

A)  51 m 
B)  64 m 
C)  24 m 
D)  72 m 
A)  51 m 
B)  64 m 
C)  24 m 
D)  72 m

Question 13

Add or subtract. Then simplify by collecting like radical terms, if possible.
-

Accepted Answer

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

Question 14

Simplify.
-

Accepted Answer

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

Question 15

Identify the radicand.
-

Accepted Answer

A)  y 
B)    
C)  y - 4 
D)  9x 
A)  y 
B)    
C)  y - 4 
D)  9x

Question 16

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

Accepted Answer

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

Question 17

Identify the radicand.
-

Accepted Answer

A)    
B)    
C)    
D)  x + 6 
A)    
B)    
C)    
D)  x + 6

Question 18

Identify the radicand.
-

Accepted Answer

A)    
B)  x + 9 
C)  x 
D)    
A)    
B)  x + 9 
C)  x 
D)

Question 19

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 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)  cannot simplify 
A)    
B)    
C)    
D)  cannot simplify

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

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. -

Use rational exponents to write a single radical expression. -

Divide and simplify. Assume that all expressions under radicals represent positive numbers. -

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

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

Graph. -

Simplify to the form a + bi. -

Simplify. -

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

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

Solve the problem. If necessary, round to the nearest tenth. -On a sunny day, a tree and its shadow form the sides of a right triangle. If the hypotenuse is 40 m long and the tree is 32 m tall, how long is the shadow?

Add or subtract. Then simplify by collecting like radical terms, if possible. -

Simplify. -

Identify the radicand. -

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

Identify the radicand. -

Identify the radicand. -

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

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

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

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. -

Use rational exponents to write a single radical expression. -

Divide and simplify. Assume that all expressions under radicals represent positive numbers. -

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

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

Graph. -

Simplify to the form a + bi. -

Simplify. -

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

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

Solve the problem. If necessary, round to the nearest tenth. -On a sunny day, a tree and its shadow form the sides of a right triangle. If the hypotenuse is 40 m long and the tree is 32 m tall, how long is the shadow?

Add or subtract. Then simplify by collecting like radical terms, if possible. -

Simplify. -

Identify the radicand. -

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

Identify the radicand. -

Identify the radicand. -

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

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