Question 1

Evaluate the following expression if it represents a real number. ​   ​

Accepted Answer

A) 8 
B) 4 
C) -8 
D) -4 
E) not a real number 
A) 8 
B) 4 
C) -8 
D) -4 
E) not a real number

Question 2

Factor by finding the common monomial factor. ​   ​

Accepted Answer

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

Question 3

Factor the expression completely. ​   ​

Accepted Answer

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

Question 4

What is the coefficient of the highest-degree term in the polynomial below? ​   ​

Accepted Answer

A) 9 
B) -8 
C) 5 
D) 8 
E) -9 
A) 9 
B) -8 
C) 5 
D) 8 
E) -9

Question 5

Suppose a company's revenue   (in dollars) from the sale of   units of its product is given by   . Suppose further that the total costs   (in dollars) of producing those   units is given by   . If profit is revenue minus cost, find the expression for the profit from the production and sale of   units.

Accepted Answer

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

Question 6

The intensity of sound I (as a multiple of the average minimum threshold of hearing intensity) is related to the decibel level D (or loudness of sound) according to   . The background noise level of a relatively quiet room has a decibel reading of 38. Find the intensity I of this noise level. Round your answer to three decimal places. ​

Accepted Answer

A) 627,821.185 
B) 1.833 
C) 6,309.573 
D) 2.605 
E) 159.653 
A) 627,821.185 
B) 1.833 
C) 6,309.573 
D) 2.605 
E) 159.653

Question 7

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

Accepted Answer

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

Question 8

Evaluate the following expression if it represents a real number. ​   ​

Accepted Answer

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

Question 9

Rewrite the following so that only the positive exponents remain, and then simplify. ​   ​

Accepted Answer

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

Question 10

Evaluate the following expression. ​   ​

Accepted Answer

A) 82 
B) -23 
C) 46 
D) 41 
E) -82 
A) 82 
B) -23 
C) 46 
D) 41 
E) -82

Question 11

Use the properties of exponents to simplify the expression so that only positive exponents remain. ​   ​

Accepted Answer

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

Question 12

Rewrite the radical with a fractional exponent. ​   ​

Accepted Answer

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

Question 13

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 14

Rationalize the numerator of the fraction and simplify.   ​

Accepted Answer

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

Question 15

Compute and simplify so that only positive exponents remain. ​   ​

Accepted Answer

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

Question 16

Evaluate the following expression if it represents a real number. ​   ​

Accepted Answer

A) 32 
B) 1.31951 
C) 1024 
D) 4 
E) 5.65685 
A) 32 
B) 1.31951 
C) 1024 
D) 4 
E) 5.65685

Question 17

Perform the indicated operations with expressions involving fractional exponents and then simplify. ​   ​

Accepted Answer

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

Question 18

The approximate percent   of average income used to pay federal, state, and local taxes is given by   , where   is the number of years after 1950. Which   -value represents the year 1995? ​

Accepted Answer

A) 25 
B) 45 
C) 30 
D) 20 
E) 40 
A) 25 
B) 45 
C) 30 
D) 20 
E) 40

Question 19

Use the rules of exponents to simplify the expression so that only positive exponents remain. ​   ​

Accepted Answer

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

Question 20

Simplify the fraction. ​   ​

Accepted Answer

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

Evaluate the following expression if it represents a real number.

Factor by finding the common monomial factor.

Factor the expression completely.

What is the coefficient of the highest-degree term in the polynomial below?

Suppose a company's revenue (in dollars) from the sale of units of its product is given by . Suppose further that the total costs (in dollars) of producing those units is given by . If profit is revenue minus cost, find the expression for the profit from the production and sale of units.

Use the rules of exponents to simplify the expression.

Evaluate the following expression if it represents a real number.

Rewrite the following so that only the positive exponents remain, and then simplify.

Evaluate the following expression.

Use the properties of exponents to simplify the expression so that only positive exponents remain.

Rewrite the radical with a fractional exponent. $Rewrite the radical with a fractional exponent. $

Perform the indicated operations and simplify.

Rationalize the numerator of the fraction and simplify. $Rationalize the numerator of the fraction and simplify. $

Compute and simplify so that only positive exponents remain.

Evaluate the following expression if it represents a real number.

Perform the indicated operations with expressions involving fractional exponents and then simplify. $Perform the indicated operations with expressions involving fractional exponents and then simplify. $

The approximate percent of average income used to pay federal, state, and local taxes is given by , where is the number of years after 1950. Which -value represents the year 1995?

Use the rules of exponents to simplify the expression so that only positive exponents remain.

Simplify the fraction. $Simplify the fraction. $

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

Evaluate the following expression if it represents a real number. ​ ​

Factor by finding the common monomial factor. ​ ​

Factor the expression completely. ​ ​

What is the coefficient of the highest-degree term in the polynomial below? ​ ​

Suppose a company's revenue (in dollars) from the sale of units of its product is given by . Suppose further that the total costs (in dollars) of producing those units is given by . If profit is revenue minus cost, find the expression for the profit from the production and sale of units.

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

Evaluate the following expression if it represents a real number. ​ ​

Rewrite the following so that only the positive exponents remain, and then simplify. ​ ​

Evaluate the following expression. ​ ​

Use the properties of exponents to simplify the expression so that only positive exponents remain. ​ ​

Rewrite the radical with a fractional exponent. ​ ​

Perform the indicated operations and simplify. ​ ​

Rationalize the numerator of the fraction and simplify. ​

Compute and simplify so that only positive exponents remain. ​ ​

Evaluate the following expression if it represents a real number. ​ ​

Perform the indicated operations with expressions involving fractional exponents and then simplify. ​ ​

The approximate percent of average income used to pay federal, state, and local taxes is given by , where is the number of years after 1950. Which -value represents the year 1995? ​

Use the rules of exponents to simplify the expression so that only positive exponents remain. ​ ​

Simplify the fraction. ​ ​

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

Evaluate the following expression if it represents a real number.

Factor by finding the common monomial factor.

Factor the expression completely.

What is the coefficient of the highest-degree term in the polynomial below?

Use the rules of exponents to simplify the expression.

Evaluate the following expression if it represents a real number.

Rewrite the following so that only the positive exponents remain, and then simplify.

Evaluate the following expression.

Use the properties of exponents to simplify the expression so that only positive exponents remain.

Rewrite the radical with a fractional exponent. $Rewrite the radical with a fractional exponent. $

Perform the indicated operations and simplify.

Rationalize the numerator of the fraction and simplify. $Rationalize the numerator of the fraction and simplify. $

Compute and simplify so that only positive exponents remain.

Evaluate the following expression if it represents a real number.

Perform the indicated operations with expressions involving fractional exponents and then simplify. $Perform the indicated operations with expressions involving fractional exponents and then simplify. $

The approximate percent of average income used to pay federal, state, and local taxes is given by , where is the number of years after 1950. Which -value represents the year 1995?

Use the rules of exponents to simplify the expression so that only positive exponents remain.

Simplify the fraction. $Simplify the fraction. $