Question 1

Find   , the union of sets A and B. ​   and   ​

Accepted Answer

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

Question 2

Use the properties of exponents and radicals to determine the value for x that makes the equation true. ​   ​

Accepted Answer

A)    
B) 5 
C)    
D) 10 
E)    
A)    
B) 5 
C)    
D) 10 
E)

Question 3

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 4

In many applications, it is often necessary to write expressions in the form   , where c is a constant and n is an integer. Write the expression below in this form. ​   ​

Accepted Answer

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

Question 5

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 6

What is the degree of the polynomial below? ​   ​

Accepted Answer

A) 3 
B) 10 
C) 7 
D) 4 
E) 21 
A) 3 
B) 10 
C) 7 
D) 4 
E) 21

Question 7

Factor the expression completely. ​   ​

Accepted Answer

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

Question 8

Evaluate the expression. ​   ​

Accepted Answer

A) 8 
B) 16 
C) -8 
D) -16 
E) 4 
A) 8 
B) 16 
C) -8 
D) -16 
E) 4

Question 9

Simplify the expression so that it contains only positive exponents   . ​   ​

Accepted Answer

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

Question 10

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 11

The future value of a simple-interest investment of Q dollars at an annual interest rate   for t years is given by the expression   . Factor this expression.

Accepted Answer

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

Question 12

Indicate whether the following sets are equal. ​   ,   ​

Accepted Answer

A)    
B)    
A)    
B)

Question 13

Two thin lenses with focal lengths t and q and separated by a distance   have their combined focal length given by the reciprocal of   . Combine the fractions in the expression above and use the reciprocal of your result to find the combined focal length. ​

Accepted Answer

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

Question 14

Use   or   in blank place to indicate whether the given object is an element of the given set. ​   ​

Accepted Answer

A)    
B)    
A)    
B)

Question 15

Evaluate the following expression. ​   ​

Accepted Answer

A) -15 
B) 129 
C) 57 
D) -87 
E) 15 
A) -15 
B) 129 
C) 57 
D) -87 
E) 15

Question 16

Use the rules of exponents to simplify the expression. ​   ​

Accepted Answer

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

Question 17

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 18

What is the degree of the polynomial below? ​   ​

Accepted Answer

A) 3 
B) 2 
C) 4 
D) 6 
A) 3 
B) 2 
C) 4 
D) 6

Question 19

Assume that the national health care expenditure H (in billions of dollars) can be modeled (that is, accurately approximated) by the formula   where t is the number of years past 1960. Approximate the national health expenditure in 1974. Round your answer to the nearest tenth of a billion. ​

Accepted Answer

A) $134.7 billion 
B) $110.9 billion 
C) $122.2 billion 
D) $121.7 billion 
E) $134.2 billion 
A) $134.7 billion 
B) $110.9 billion 
C) $122.2 billion 
D) $121.7 billion 
E) $134.2 billion

Question 20

Factor the expression completely. ​   ​

Accepted Answer

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

Find , the union of sets A and B. and

Use the properties of exponents and radicals to determine the value for x that makes the equation true.

Perform the indicated operations and simplify.

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

Perform the indicated operations and simplify.

What is the degree of the polynomial below?

Factor the expression completely.

Evaluate the expression.

Simplify the expression so that it contains only positive exponents .

Perform the indicated operations and simplify.

The future value of a simple-interest investment of Q dollars at an annual interest rate for t years is given by the expression . Factor this expression.

Indicate whether the following sets are equal. ,

Use or in blank place to indicate whether the given object is an element of the given set.

Evaluate the following expression.

Use the rules of exponents to simplify the expression.

Perform the indicated operations and simplify.

What is the degree of the polynomial below?

Assume that the national health care expenditure H (in billions of dollars) can be modeled (that is, accurately approximated) by the formula where t is the number of years past 1960. Approximate the national health expenditure in 1974. Round your answer to the nearest tenth of a billion.

Factor the expression completely.

Linear Equations and Functions

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability; Data Description

Derivatives

Applications of Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals: Techniques of Integration

Functions of Two or More Variables

Filters

Exam 1: Algebraic Concepts

Find , the union of sets A and B. ​ and ​

Use the properties of exponents and radicals to determine the value for x that makes the equation true. ​ ​

Perform the indicated operations and simplify. ​ ​

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form. ​ ​

Perform the indicated operations and simplify. ​ ​

What is the degree of the polynomial below? ​ ​

Factor the expression completely. ​ ​

Evaluate the expression. ​ ​

Simplify the expression so that it contains only positive exponents . ​ ​

Perform the indicated operations and simplify. ​ ​

The future value of a simple-interest investment of Q dollars at an annual interest rate for t years is given by the expression . Factor this expression.

Indicate whether the following sets are equal. ​ , ​

Two thin lenses with focal lengths t and q and separated by a distance have their combined focal length given by the reciprocal of . Combine the fractions in the expression above and use the reciprocal of your result to find the combined focal length. ​

Use or in blank place to indicate whether the given object is an element of the given set. ​ ​

Evaluate the following expression. ​ ​

Use the rules of exponents to simplify the expression. ​ ​

Perform the indicated operations and simplify. ​ ​

What is the degree of the polynomial below? ​ ​

Assume that the national health care expenditure H (in billions of dollars) can be modeled (that is, accurately approximated) by the formula where t is the number of years past 1960. Approximate the national health expenditure in 1974. Round your answer to the nearest tenth of a billion. ​

Factor the expression completely. ​ ​

Linear Equations and Functions

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability; Data Description

Derivatives

Applications of Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals: Techniques of Integration

Functions of Two or More Variables

Filters

Find , the union of sets A and B. and

Use the properties of exponents and radicals to determine the value for x that makes the equation true.

Perform the indicated operations and simplify.

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

Perform the indicated operations and simplify.

What is the degree of the polynomial below?

Factor the expression completely.

Evaluate the expression.

Simplify the expression so that it contains only positive exponents .

Perform the indicated operations and simplify.

Indicate whether the following sets are equal. ,

Use or in blank place to indicate whether the given object is an element of the given set.

Evaluate the following expression.

Use the rules of exponents to simplify the expression.

Perform the indicated operations and simplify.

What is the degree of the polynomial below?

Assume that the national health care expenditure H (in billions of dollars) can be modeled (that is, accurately approximated) by the formula where t is the number of years past 1960. Approximate the national health expenditure in 1974. Round your answer to the nearest tenth of a billion.

Factor the expression completely.