Question 1

Choose the proper symbol   ,   , or   to replace   . ​   ​

Accepted Answer

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

Question 2

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

Accepted Answer

A) -81 
B) -27 
C)    
D)    
E) not a real number 
A) -81 
B) -27 
C)    
D)    
E) not a real number

Question 3

Which property of the real numbers is illustrated in this equality? ​   ​

Accepted Answer

A) additive identity 
B) multiplicative inverse 
C) associative 
D) multiplicative identity 
E) commutative 
A) additive identity 
B) multiplicative inverse 
C) associative 
D) multiplicative identity 
E) commutative

Question 4

Use the following factorization formulas involving cubes to factor the polynomial below. ​
Factorizations with Cubes
Perfect cube   Perfect cube   Difference of two cubes   Sum of two cubes   ​   ​

Accepted Answer

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

Question 5

The formula for the future value of an annuity due involves the expression   . Write this expression over a common denominator and factor the numerator to simplify.

Accepted Answer

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

Question 6

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by   , and the interest earned is   . Find I for the given P, n, and i. Round your answer to two decimal places. ​
$800 for 17 years at 10.75%
​

Accepted Answer

A) $4,538.72 
B) $3,738.72 
C) $4,226.63 
D) $5,338.72 
E) $3,298.17 
A) $4,538.72 
B) $3,738.72 
C) $4,226.63 
D) $5,338.72 
E) $3,298.17

Question 7

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

Accepted Answer

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

Question 8

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 9

Factor the expression as a product of binomials. ​   ​

Accepted Answer

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

Question 10

Factor the expression completely. ​   ​

Accepted Answer

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

Question 11

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 12

Simplify the fraction. ​   ​

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

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. The actual tax load for 1970 was 31.4%. What does the formula give as an approximation? Round your answer to one decimal place. ​

Accepted Answer

A) 21.0% 
B) 38.2% 
C) 30.9% 
D) 11.3% 
E) 33.6% 
A) 21.0% 
B) 38.2% 
C) 30.9% 
D) 11.3% 
E) 33.6%

Question 15

Choose the graph that represents this subset of the real numbers. ​   ​

Accepted Answer

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

Question 16

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 17

Determine the missing factor. ​   ​

Accepted Answer

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

Question 18

Factor the expression completely. ​   ​

Accepted Answer

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

Question 19

Replace the radical with a fractional exponent. Do not simplify. ​   ​

Accepted Answer

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

Question 20

Evaluate the expression. ​   ​

Accepted Answer

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

Choose the proper symbol , , or to replace .

Evaluate the following expression if it represents a real number.

Which property of the real numbers is illustrated in this equality?

Use the following factorization formulas involving cubes to factor the polynomial below. Factorizations with Cubes Perfect cube Perfect cube Difference of two cubes Sum of two cubes

The formula for the future value of an annuity due involves the expression . Write this expression over a common denominator and factor the numerator to simplify.

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is . Find I for the given P, n, and i. Round your answer to two decimal places. $800 for 17 years at 10.75%

Find , the intersection of sets A and B. and

Perform the indicated operations and simplify.

Factor the expression as a product of binomials.

Factor the expression completely.

Perform the indicated operations and simplify.

Simplify the fraction. $Simplify the fraction. $

Perform the indicated operations and 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. The actual tax load for 1970 was 31.4%. What does the formula give as an approximation? Round your answer to one decimal place.

Choose the graph that represents this subset of the real numbers.

Perform the indicated operations and simplify.

Determine the missing factor.

Factor the expression completely.

Replace the radical with a fractional exponent. Do not simplify. $Replace the radical with a fractional exponent. Do not simplify. $

Evaluate the expression.

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

Choose the proper symbol , , or to replace . ​ ​

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

Which property of the real numbers is illustrated in this equality? ​ ​

Use the following factorization formulas involving cubes to factor the polynomial below. ​ Factorizations with Cubes Perfect cube Perfect cube Difference of two cubes Sum of two cubes ​ ​

The formula for the future value of an annuity due involves the expression . Write this expression over a common denominator and factor the numerator to simplify.

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is . Find I for the given P, n, and i. Round your answer to two decimal places. ​ $800 for 17 years at 10.75% ​

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

Perform the indicated operations and simplify. ​ ​

Factor the expression as a product of binomials. ​ ​

Factor the expression completely. ​ ​

Perform the indicated operations and simplify. ​ ​

Simplify the fraction. ​ ​

Perform the indicated operations and 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. The actual tax load for 1970 was 31.4%. What does the formula give as an approximation? Round your answer to one decimal place. ​

Choose the graph that represents this subset of the real numbers. ​ ​

Perform the indicated operations and simplify. ​ ​

Determine the missing factor. ​ ​

Factor the expression completely. ​ ​

Replace the radical with a fractional exponent. Do not simplify. ​ ​

Evaluate the expression. ​ ​

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

Choose the proper symbol , , or to replace .

Evaluate the following expression if it represents a real number.

Which property of the real numbers is illustrated in this equality?

Use the following factorization formulas involving cubes to factor the polynomial below. Factorizations with Cubes Perfect cube Perfect cube Difference of two cubes Sum of two cubes

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is . Find I for the given P, n, and i. Round your answer to two decimal places. $800 for 17 years at 10.75%

Find , the intersection of sets A and B. and

Perform the indicated operations and simplify.

Factor the expression as a product of binomials.

Factor the expression completely.

Perform the indicated operations and simplify.

Simplify the fraction. $Simplify the fraction. $

Perform the indicated operations and 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. The actual tax load for 1970 was 31.4%. What does the formula give as an approximation? Round your answer to one decimal place.

Choose the graph that represents this subset of the real numbers.

Perform the indicated operations and simplify.

Determine the missing factor.

Factor the expression completely.

Replace the radical with a fractional exponent. Do not simplify. $Replace the radical with a fractional exponent. Do not simplify. $

Evaluate the expression.