Question 1

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

Accepted Answer

A) 6 
B) 3 
C) -2 
D) 8 
E) 7 
A) 6 
B) 3 
C) -2 
D) 8 
E) 7

Question 2

Suppose that a survey of 66 advertisers in U.S. News, These Times, and World found the following. ​
4 advertised in all three
12 advertised in These Times and U.S. News
23 advertised in World and U.S. News
24 advertised in World and These Times
34 advertised in These Times
39 advertised in U.S. News
48 advertised in World
​
How many advertised only in These Times?
​

Accepted Answer

A) 2 
B) 121 
C) 34 
D) 6 
E) 66 
A) 2 
B) 121 
C) 34 
D) 6 
E) 66

Question 3

Factor the expression as a product of binomials. ​   ​

Accepted Answer

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

Question 4

Determine whether the following expression is a polynomial of one variable. ​   ​

Accepted Answer

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

Question 5

Rewrite the radical with a fractional exponent. ​   ​

Accepted Answer

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

Question 6

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. ​   ​

Accepted Answer

A) integer 
B) rational 
C) rational, integer 
D) rational, integer, natural 
E) irrational 
A) integer 
B) rational 
C) rational, integer 
D) rational, integer, natural 
E) irrational

Question 7

Simplify the fraction. ​   ​

Accepted Answer

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

Question 8

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

Accepted Answer

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

Question 9

Suppose that a nurse needs 20 cc (cubic centimeters) of a 15.5% solution (that is, a solution that is 15.5% ingredient) of a certain medication, which must be obtained by mixing   cc of a 20% solution and   cc of a 5% solution. Choose the expression for   in terms of   .

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

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 12

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 13

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 14

Cell Pro makes cell phones and has total weekly costs of $2,000 for rent, utilities, and equipment, in addition to labor and material costs of $17.75 for each phone it makes. Assume that Cell Pro sells the phones to dealers for $37.50 each. Choose the expression for the weekly total revenue for the phones, where   is the number of phones made and sold each week.
​

Accepted Answer

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

Question 15

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 16

Write the following set a second way. ​   ​

Accepted Answer

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

Question 17

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

Accepted Answer

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

Question 18

Rationalize the denominator and then simplify. ​   ​

Accepted Answer

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

Question 19

Rationalize the denominator of the fraction and simplify. ​   ​

Accepted Answer

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

Question 20

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

Accepted Answer

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

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

Factor the expression as a product of binomials.

Determine whether the following expression is a polynomial of one variable.

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

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural.

Simplify the fraction. $Simplify the fraction. $

Simplify the expression so that it contains only positive exponents .

Suppose that a nurse needs 20 cc (cubic centimeters) of a 15.5% solution (that is, a solution that is 15.5% ingredient) of a certain medication, which must be obtained by mixing cc of a 20% solution and cc of a 5% solution. Choose the expression for in terms of .

Use the rules of exponents to simplify the expression.

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

Perform the indicated operations and simplify.

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

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

Write the following set a second way.

Choose the proper symbol , , or to replace .

Rationalize the denominator and then simplify.

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

Compute and simplify so that only positive exponents remain.

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

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

Factor the expression as a product of binomials. ​ ​

Determine whether the following expression is a polynomial of one variable. ​ ​

Rewrite the radical with a fractional exponent. ​ ​

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. ​ ​

Simplify the fraction. ​ ​

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

Suppose that a nurse needs 20 cc (cubic centimeters) of a 15.5% solution (that is, a solution that is 15.5% ingredient) of a certain medication, which must be obtained by mixing cc of a 20% solution and cc of a 5% solution. Choose the expression for in terms of .

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

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

Perform the indicated operations and simplify. ​ ​

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

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

Write the following set a second way. ​ ​

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

Rationalize the denominator and then simplify. ​ ​

Rationalize the denominator of the fraction and simplify. ​ ​

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

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

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

Factor the expression as a product of binomials.

Determine whether the following expression is a polynomial of one variable.

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

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural.

Simplify the fraction. $Simplify the fraction. $

Simplify the expression so that it contains only positive exponents .

Use the rules of exponents to simplify the expression.

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

Perform the indicated operations and simplify.

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

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

Write the following set a second way.

Choose the proper symbol , , or to replace .

Rationalize the denominator and then simplify.

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

Compute and simplify so that only positive exponents remain.