Question 1

Perform the indicated operations and simplify. ​

Accepted Answer

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

Question 2

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 3

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. ​
$2,400 for 9 years at 8%
​

Accepted Answer

A) $4,797.61 
B) $2,042.23 
C) $1,133.19 
D) $2,397.61 
E) $7,197.61 
A) $4,797.61 
B) $2,042.23 
C) $1,133.19 
D) $2,397.61 
E) $7,197.61

Question 4

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

Accepted Answer

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

Question 5

Simplify the complex fraction. ​   ​

Accepted Answer

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

Question 6

Factor the expression completely.   ​

Accepted Answer

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

Question 7

Suppose it has been determined that the sales at Ewing Gallery decline after the end of an advertising campaign, with daily sales given by   , where S is in dollars and x is the number of days after the campaign ends. What are the daily sales 8 days after the end of the campaign? ​

Accepted Answer

A) $2,284 
B) $143.75 
C) $575 
A) $2,284 
B) $143.75 
C) $575

Question 8

Factor the expression as a product of binomials. ​   ​

Accepted Answer

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

Question 9

In calculus, it is frequently important to write an expression in the form   , where c is a constant and n is a rational number. Write the expression in this form. ​   ​

Accepted Answer

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

Question 10

If an investment has a goal (future value) of $S after n years, invested at interest rate i (as a decimal), compounded annually, then the present value P that must be invested is given by   . Find P for the given S, n, and i. Round your answer to two decimal places. ​
$18,000 after 10 years at 11.25%
​

Accepted Answer

A) $5,457.03 
B) $12,542.97 
C) $6,198.3 
D) $7,671.36 
E) $11,801.7 
A) $5,457.03 
B) $12,542.97 
C) $6,198.3 
D) $7,671.36 
E) $11,801.7

Question 11

Simplify by combining like terms. ​   ​

Accepted Answer

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

Question 12

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

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 15

Factor the expression as a product of binomials. ​   ​

Accepted Answer

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

Question 16

Is   , if   and   ? ​

Accepted Answer

A) yes 
B) no 
A) yes 
B) no

Question 17

Express the following expression as a single fraction with no common factors in the numerator and denominator. ​   ​

Accepted Answer

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

Question 18

If   and   , is A a subset of B? ​

Accepted Answer

A) yes 
B) no 
A) yes 
B) no

Question 19

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 20

Evaluate the algebraic expression at the indicated values of the variables. ​   at   and   ​

Accepted Answer

A) -24 
B) -48 
C) -16 
D) -36 
E) 36 
A) -24 
B) -48 
C) -16 
D) -36 
E) 36

Perform the indicated operations and simplify.

Perform the indicated operations and 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. $2,400 for 9 years at 8%

Evaluate the following expression if it represents a real number.

Simplify the complex fraction. $Simplify the complex fraction. $

Factor the expression completely.

Suppose it has been determined that the sales at Ewing Gallery decline after the end of an advertising campaign, with daily sales given by , where S is in dollars and x is the number of days after the campaign ends. What are the daily sales 8 days after the end of the campaign?

Factor the expression as a product of binomials.

In calculus, it is frequently important to write an expression in the form , where c is a constant and n is a rational number. Write the expression in this form.

If an investment has a goal (future value) of $S after n years, invested at interest rate i (as a decimal), compounded annually, then the present value P that must be invested is given by . Find P for the given S, n, and i. Round your answer to two decimal places. $18,000 after 10 years at 11.25%

Simplify by combining like terms.

Perform the indicated operations and simplify.

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

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

Factor the expression as a product of binomials.

Is , if and ?

Express the following expression as a single fraction with no common factors in the numerator and denominator. $Express the following expression as a single fraction with no common factors in the numerator and denominator. $

If and , is A a subset of B?

Perform the indicated operations and simplify.

Evaluate the algebraic expression at the indicated values of the variables. at and

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

Perform the indicated operations and simplify. ​

Perform the indicated operations and 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. ​ $2,400 for 9 years at 8% ​

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

Simplify the complex fraction. ​ ​

Factor the expression completely. ​

Suppose it has been determined that the sales at Ewing Gallery decline after the end of an advertising campaign, with daily sales given by , where S is in dollars and x is the number of days after the campaign ends. What are the daily sales 8 days after the end of the campaign? ​

Factor the expression as a product of binomials. ​ ​

In calculus, it is frequently important to write an expression in the form , where c is a constant and n is a rational number. Write the expression in this form. ​ ​

Simplify by combining like terms. ​ ​

Perform the indicated operations and simplify. ​ ​

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

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

Factor the expression as a product of binomials. ​ ​

Is , if and ? ​

Express the following expression as a single fraction with no common factors in the numerator and denominator. ​ ​

If and , is A a subset of B? ​

Perform the indicated operations and simplify. ​ ​

Evaluate the algebraic expression at the indicated values of the variables. ​ at and ​

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

Perform the indicated operations and simplify.

Perform the indicated operations and 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. $2,400 for 9 years at 8%

Evaluate the following expression if it represents a real number.

Simplify the complex fraction. $Simplify the complex fraction. $

Factor the expression completely.

Suppose it has been determined that the sales at Ewing Gallery decline after the end of an advertising campaign, with daily sales given by , where S is in dollars and x is the number of days after the campaign ends. What are the daily sales 8 days after the end of the campaign?

Factor the expression as a product of binomials.

In calculus, it is frequently important to write an expression in the form , where c is a constant and n is a rational number. Write the expression in this form.

Simplify by combining like terms.

Perform the indicated operations and simplify.

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

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

Factor the expression as a product of binomials.

Is , if and ?

Express the following expression as a single fraction with no common factors in the numerator and denominator. $Express the following expression as a single fraction with no common factors in the numerator and denominator. $

If and , is A a subset of B?

Perform the indicated operations and simplify.

Evaluate the algebraic expression at the indicated values of the variables. at and