Question 1

Factor by grouping. ​   ​

Accepted Answer

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

Question 2

In a survey of the dining preferences of 54 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. ​
24 liked AL but not PT
20 liked AL only
37 liked AL
24 liked PT
22 liked DH
9 liked PT and AL but not DH
12 liked PT and DH
​
How many liked only DH?
​

Accepted Answer

A) 10 
B) 6 
C) 74 
D) 18 
E) 22 
A) 10 
B) 6 
C) 74 
D) 18 
E) 22

Question 3

Determine the missing factor. ​   ​

Accepted Answer

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

Question 4

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

Accepted Answer

A) 27 
B) 9 
C)    
D)    
E)    
A) 27 
B) 9 
C)    
D)    
E)

Question 5

Simplify the complex fraction. ​   ​

Accepted Answer

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

Question 6

Factor by finding the common monomial factor. ​   ​

Accepted Answer

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

Question 7

A company's average cost per unit when   units are produced is defined to be   . Suppose a company's average costs are given by   . Express the average cost as a single fraction. ​

Accepted Answer

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

Question 8

Simplify the complex fraction. ​   ​

Accepted Answer

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

Question 9

A company's average cost per unit when   units are produced is defined to be   . Suppose a company's average costs are given by   . Choose the expression that gives the company's total costs.

Accepted Answer

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

Question 10

Evaluate the expression. ​   ​

Accepted Answer

A) -125 
B) 243 
C) 625 
D) 125 
E) -625 
A) -125 
B) 243 
C) 625 
D) 125 
E) -625

Question 11

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

Accepted Answer

A)    
B)    
C)    
D)   
Is a set of natural numbers. 
E)    
A)    
B)    
C)    
D)   
Is a set of natural numbers. 
E)

Question 12

Choose the correct interval notation for this subset of the real numbers. ​   ​

Accepted Answer

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

Question 13

A polynomial is an expression of form   , where   is a positive integer. For the polynomial   what is   ?
​

Accepted Answer

A) 0 
B) 7 
C) 9 
D) 10 
E) 4 
A) 0 
B) 7 
C) 9 
D) 10 
E) 4

Question 14

Cell Pro makes cell phones and has total weekly costs of $2500 for rent, utilities, and equipment, in addition to labor and material costs of $17.75 for each phone it makes. Cell Pro's weekly profit is the total revenue minus the total cost. Choose the expression for Cell Pro's weekly profit if each phone sells for $47.50, 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

Use a calculator to approximate the indicated power. Round your answer to five decimal places. ​   ​

Accepted Answer

A) 0.17798 
B) -7.49154 
C) 5.61866 
D) -5.61866 
E) -0.17798 
A) 0.17798 
B) -7.49154 
C) 5.61866 
D) -5.61866 
E) -0.17798

Question 16

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 17

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. Approximate the tax load for year 2009. Round your answer to one decimal place. ​

Accepted Answer

A) 51.5% 
B) 39.6% 
C) 40.5% 
D) 52.1% 
E) 20.9% 
A) 51.5% 
B) 39.6% 
C) 40.5% 
D) 52.1% 
E) 20.9%

Question 18

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 19

Perform the indicated operations 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)

Factor by grouping.

Determine the missing factor.

Evaluate the following expression if it represents a real number.

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

Factor by finding the common monomial factor.

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

A company's average cost per unit when units are produced is defined to be . Suppose a company's average costs are given by . Choose the expression that gives the company's total costs.

Evaluate the expression.

Find , the union of sets A and B.

Choose the correct interval notation for this subset of the real numbers.

A polynomial is an expression of form , where is a positive integer. For the polynomial what is ?

Use a calculator to approximate the indicated power. Round your answer to five decimal places.

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. Approximate the tax load for year 2009. Round your answer to one decimal place.

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

Perform the indicated operations 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

Factor by grouping. ​ ​

Determine the missing factor. ​ ​

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

Simplify the complex fraction. ​ ​

Factor by finding the common monomial factor. ​ ​

A company's average cost per unit when units are produced is defined to be . Suppose a company's average costs are given by . Express the average cost as a single fraction. ​

Simplify the complex fraction. ​ ​

A company's average cost per unit when units are produced is defined to be . Suppose a company's average costs are given by . Choose the expression that gives the company's total costs.

Evaluate the expression. ​ ​

Find , the union of sets A and B. ​ ​

Choose the correct interval notation for this subset of the real numbers. ​ ​

A polynomial is an expression of form , where is a positive integer. For the polynomial what is ? ​

Use a calculator to approximate the indicated power. Round your answer to five decimal places. ​ ​

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. Approximate the tax load for year 2009. Round your answer to one decimal place. ​

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

Perform the indicated operations 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

Factor by grouping.

Determine the missing factor.

Evaluate the following expression if it represents a real number.

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

Factor by finding the common monomial factor.

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

Evaluate the expression.

Find , the union of sets A and B.

Choose the correct interval notation for this subset of the real numbers.

A polynomial is an expression of form , where is a positive integer. For the polynomial what is ?

Use a calculator to approximate the indicated power. Round your answer to five decimal places.

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. Approximate the tax load for year 2009. Round your answer to one decimal place.

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

Perform the indicated operations and simplify.

Compute and simplify so that only positive exponents remain.