Question 1

Assume that   ,   ,   and that U is the universal set of natural numbers less than 11. Find   . ​

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

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

Accepted Answer

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

Question 4

Suppose that a survey of 100 advertisers in U.S. News, These Times, and World found the following. ​
6 advertised in all three
13 advertised in These Times and U.S. News
16 advertised in World and U.S. News
20 advertised in World and These Times
32 advertised in These Times
29 advertised in U.S. News
35 advertised in World
​
How many advertised in U.S. News or These Times?
​

Accepted Answer

A) 48 
B) 96 
C) 11 
D) 17 
E) 18 
A) 48 
B) 96 
C) 11 
D) 17 
E) 18

Question 5

Suppose that a nurse needs 10 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 the amount of ingredient in the 5% solution.

Accepted Answer

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

Question 6

Rationalize the denominator and then simplify. ​   ​

Accepted Answer

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

Question 7

Suppose that squares of size x are cut from four corners of an 8-by-8-inch piece of cardboard and an open-top box is formed. The volume of the box is given by   . Factor this expression. ​   ​
​

Accepted Answer

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

Question 8

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 9

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

Accepted Answer

A)    
B)    
C)    
D)    
E) not a real number 
A)    
B)    
C)    
D)    
E) not a real number

Question 10

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 11

Factor the expression as a product of binomials. ​   ​

Accepted Answer

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

Question 12

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 13

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. ​
-1)3787
​

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 14

Perform the indicated operations 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) 38.055 
B) 2,097,152 
C) -4,096 
D) -38.055 
E) not a real number 
A) 38.055 
B) 2,097,152 
C) -4,096 
D) -38.055 
E) not a real number

Question 17

Suppose the number of endangered species y can be approximated by the formula   where t is the number of years past 1980. How many species does the formula estimate will be added to the endangered species list between 2007 and 2020? Round your answer to the nearest whole number. ​
​

Accepted Answer

A) 448 species. 
B) 443 species. 
C) 474 species. 
D) 469 species. 
E) 420 species. 
A) 448 species. 
B) 443 species. 
C) 474 species. 
D) 469 species. 
E) 420 species.

Question 18

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

Accepted Answer

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

Question 19

Suppose that you have $5,000 to invest, and you invest x dollars at 10% and the remainder at 8%. Choose the expression that represents the invested earned on the money invested at 8%.

Accepted Answer

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

Question 20

Evaluate the following expression. ​   ​

Accepted Answer

A) 7 
B) 13 
C) 39 
D) 21 
E) 31 
A) 7 
B) 13 
C) 39 
D) 21 
E) 31

Assume that , , and that U is the universal set of natural numbers less than 11. Find .

Perform the indicated operations and simplify.

Compute and simplify so that only positive exponents remain.

Suppose that a nurse needs 10 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 the amount of ingredient in the 5% solution.

Rationalize the denominator and then simplify.

Suppose that squares of size x are cut from four corners of an 8-by-8-inch piece of cardboard and an open-top box is formed. The volume of the box is given by . Factor this expression.

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.

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. $

Factor the expression as a product of binomials.

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

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. -1)3787

Perform the indicated operations and simplify.

Compute and simplify so that only positive exponents remain.

Evaluate the following expression if it represents a real number.

Suppose the number of endangered species y can be approximated by the formula where t is the number of years past 1980. How many species does the formula estimate will be added to the endangered species list between 2007 and 2020? Round your answer to the nearest whole number.

Simplify the expression so that it contains only positive exponents .

Suppose that you have $5,000 to invest, and you invest x dollars at 10% and the remainder at 8%. Choose the expression that represents the invested earned on the money invested at 8%.

Evaluate the following 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

Assume that , , and that U is the universal set of natural numbers less than 11. Find . ​

Perform the indicated operations and simplify. ​ ​

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

Suppose that a nurse needs 10 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 the amount of ingredient in the 5% solution.

Rationalize the denominator and then simplify. ​ ​

Suppose that squares of size x are cut from four corners of an 8-by-8-inch piece of cardboard and an open-top box is formed. The volume of the box is given by . Factor this expression. ​ ​ ​

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. ​ ​

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

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

Factor the expression as a product of binomials. ​ ​

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

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. ​ -1)3787 ​

Perform the indicated operations and simplify. ​ ​

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

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

Suppose the number of endangered species y can be approximated by the formula where t is the number of years past 1980. How many species does the formula estimate will be added to the endangered species list between 2007 and 2020? Round your answer to the nearest whole number. ​ ​

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

Suppose that you have $5,000 to invest, and you invest x dollars at 10% and the remainder at 8%. Choose the expression that represents the invested earned on the money invested at 8%.

Evaluate the following 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

Assume that , , and that U is the universal set of natural numbers less than 11. Find .

Perform the indicated operations and simplify.

Compute and simplify so that only positive exponents remain.

Rationalize the denominator and then simplify.

Suppose that squares of size x are cut from four corners of an 8-by-8-inch piece of cardboard and an open-top box is formed. The volume of the box is given by . Factor this expression.

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.

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. $

Factor the expression as a product of binomials.

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

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. -1)3787

Perform the indicated operations and simplify.

Compute and simplify so that only positive exponents remain.

Evaluate the following expression if it represents a real number.

Suppose the number of endangered species y can be approximated by the formula where t is the number of years past 1980. How many species does the formula estimate will be added to the endangered species list between 2007 and 2020? Round your answer to the nearest whole number.

Simplify the expression so that it contains only positive exponents .

Evaluate the following expression.