Question 1

If   , is y a function of x?
​

Accepted Answer

A) True 
 B)False

Question 2

​Graph the equation with a standard window   and   on a graphing utility. Does the graph appear to be a linear function? ​
​   ​

Accepted Answer

A) True 
 B)False

Question 3

Financial Paper, Inc. is a printer of checks and forms for financial institutions. For individual accounts, boxes of 200 checks cost $0.8 per box to print and package; they sell for $4.95 each. Financial Paper's monthly fixed costs for printing and packaging these checks for individuals are $1,415. Which of the following is the equation for the profit function   where x denotes the number of boxes of checks produced and sold? ​

Accepted Answer

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

Question 4

A concert promoter needs to make $42,000 from the sale of 2,000 tickets. The promoter charges $20 for some tickets and $30 for the others. Let x be the number of $20 tickets, and y be the number of $30 tickets. This yields the two equations   and   . Solve these equations simultaneously to find how many $30 tickets must be sold to yield $42,000. ​

Accepted Answer

A)  200 
B)  1,800 
C)  100 
D)  600 
E)  900 
A)  200 
B)  1,800 
C)  100 
D)  600 
E)  900

Question 5

The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation. ​   ​

Accepted Answer

A)  x =   
B)  x =   
C)  x =   
D)  x = -20 
E)  no solution 
A)  x =   
B)  x =   
C)  x =   
D)  x = -20 
E)  no solution

Question 6

Solve the inequality and choose the graph of the solution. ​
​   ​

Accepted Answer

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

Question 7

Find the slope of the line passing through the given pair of points. ​   and   ​

Accepted Answer

A)    
B)  1 
C)    
D)    
E)  The slope is undefined. 
A)    
B)  1 
C)    
D)    
E)  The slope is undefined.

Question 8

Use a graphing utility with the standard viewing window   and   to graph the function. Choose the correct graph below. ​   ​

Accepted Answer

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

Question 9

Using a graphing utility or Excel to find the solution of the system. ​   ​

Accepted Answer

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

Question 10

Suppose a calculator manufacturer has the total cost function   and the total revenue function   , where x represents the number of calculators sold. What is the equation of the profit function,   , for the calculator manufacturer? ​

Accepted Answer

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

Question 11

Solve the equation. ​   ​

Accepted Answer

A)  x = 66 
B)  ​x =   
C)  x =   
D)  x =   
E)  x = 7 
A)  x = 66 
B)  ​x =   
C)  x =   
D)  x =   
E)  x = 7

Question 12

Suppose   in the figure below. Find   . ​
​   ​

Accepted Answer

A)  1.44225 
B)  1 
C)  -1.414214 
D)  0 
E)  1.414214 
A)  1.44225 
B)  1 
C)  -1.414214 
D)  0 
E)  1.414214

Question 13

Suppose a radio manufacturer has the total cost function   and the total revenue function   , where x represents the number of radios produced and sold. Write down the profit function   and then use this function to determine how many radios must be sold to avoid losing money. Round your answer to the nearest whole number. ​

Accepted Answer

A)  420 
B)  38 
C)  42 
D)  275 
E)  1,825 
A)  420 
B)  38 
C)  42 
D)  275 
E)  1,825

Question 14

Two models for measuring the effects of high temperature and humidity are the Summer Simmer Index and the Apparent Temperature. For an outside temperature of   , these indices relate the relative humidity, H (expressed as a decimal), to the perceived temperature as follows.​ ​
Summer Simmer:   Apparent Temperature:   ​
For each index, find the point that corresponds to a relative humidity of 45%. Round your answer to two decimal places.
​

Accepted Answer

A)  ​S = 116.84 A = 110.61 
B)  ​​S = 115.92 A = 109.79 
C)  ​​​S = 115.01 A = 108.96 
D)  ​​​S = 120.50 A = 113.92 
E)  ​​​S = 121.07 A = 132.50 
A)  ​S = 116.84 A = 110.61 
B)  ​​S = 115.92 A = 109.79 
C)  ​​​S = 115.01 A = 108.96 
D)  ​​​S = 120.50 A = 113.92 
E)  ​​​S = 121.07 A = 132.50

Question 15

Write the equation of the line passing through the given pair of points. ​
​(5,11) and (12,4)
​

Accepted Answer

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

Question 16

The percent p of high school seniors who smoke cigarettes can be described by   , where t is the number of years past 1975. Choose the sentence that correctly interprets the meaning of the slope as a rate of change. ​

Accepted Answer

A)  The slope represents the annual 28.68% increase of high school seniors who smoke. 
B)  The slope represents the annual 6% decrease of high school seniors who smoke. 
C)  The slope represents the annual 0.06% decrease of high school seniors who smoke. 
D)  The slope represents the annual 0.06% increase of high school seniors who smoke. 
E)  The slope represents the annual 28.68% decrease of high school seniors who smoke. 
A)  The slope represents the annual 28.68% increase of high school seniors who smoke. 
B)  The slope represents the annual 6% decrease of high school seniors who smoke. 
C)  The slope represents the annual 0.06% decrease of high school seniors who smoke. 
D)  The slope represents the annual 0.06% increase of high school seniors who smoke. 
E)  The slope represents the annual 28.68% decrease of high school seniors who smoke.

Question 17

If   , is y a function of x?

Accepted Answer

A) True 
 B)False

Question 18

For   , find   . ​

Accepted Answer

A)  1 
B)  ​   
C)    
D)  ​   
E)  x 
A)  1 
B)  ​   
C)    
D)  ​   
E)  x

Question 19

Solve for y in terms of x. ​   ​

Accepted Answer

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

Question 20

The figure below is the graph of the demand function D, the supply function S, and the supply function after a $30 tax T for the same product. Is it possible for the government to earn no money if it keeps increasing taxes on this product?
​

Accepted Answer

A) True 
 B)False

If , is y a function of x?

Graph the equation with a standard window and on a graphing utility. Does the graph appear to be a linear function?

The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation.

Solve the inequality and choose the graph of the solution.

Find the slope of the line passing through the given pair of points. and

Use a graphing utility with the standard viewing window and to graph the function. Choose the correct graph below.

Using a graphing utility or Excel to find the solution of the system.

Suppose a calculator manufacturer has the total cost function and the total revenue function , where x represents the number of calculators sold. What is the equation of the profit function, , for the calculator manufacturer?

Solve the equation.

Suppose in the figure below. Find .

Write the equation of the line passing through the given pair of points. (5,11) and (12,4)

The percent p of high school seniors who smoke cigarettes can be described by , where t is the number of years past 1975. Choose the sentence that correctly interprets the meaning of the slope as a rate of change.

If , is y a function of x?

For , find .

Solve for y in terms of x.

The figure below is the graph of the demand function D, the supply function S, and the supply function after a $30 tax T for the same product. Is it possible for the government to earn no money if it keeps increasing taxes on this product?

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability and Data Description

Derivatives

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 4

Algebraic Concepts 5

Filters

Exam 1: Linear Equations and Functions

If , is y a function of x? ​

​Graph the equation with a standard window and on a graphing utility. Does the graph appear to be a linear function? ​ ​ ​

The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation. ​ ​

Solve the inequality and choose the graph of the solution. ​ ​ ​

Find the slope of the line passing through the given pair of points. ​ and ​

Use a graphing utility with the standard viewing window and to graph the function. Choose the correct graph below. ​ ​

Using a graphing utility or Excel to find the solution of the system. ​ ​

Suppose a calculator manufacturer has the total cost function and the total revenue function , where x represents the number of calculators sold. What is the equation of the profit function, , for the calculator manufacturer? ​

Solve the equation. ​ ​

Suppose in the figure below. Find . ​ ​ ​

Write the equation of the line passing through the given pair of points. ​ ​(5,11) and (12,4) ​

The percent p of high school seniors who smoke cigarettes can be described by , where t is the number of years past 1975. Choose the sentence that correctly interprets the meaning of the slope as a rate of change. ​

If , is y a function of x?

For , find . ​

Solve for y in terms of x. ​ ​

The figure below is the graph of the demand function D, the supply function S, and the supply function after a $30 tax T for the same product. Is it possible for the government to earn no money if it keeps increasing taxes on this product? ​

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability and Data Description

Derivatives

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 4

Algebraic Concepts 5

Filters

If , is y a function of x?

Graph the equation with a standard window and on a graphing utility. Does the graph appear to be a linear function?

The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation.

Solve the inequality and choose the graph of the solution.

Find the slope of the line passing through the given pair of points. and

Use a graphing utility with the standard viewing window and to graph the function. Choose the correct graph below.

Using a graphing utility or Excel to find the solution of the system.

Suppose a calculator manufacturer has the total cost function and the total revenue function , where x represents the number of calculators sold. What is the equation of the profit function, , for the calculator manufacturer?

Solve the equation.

Suppose in the figure below. Find .

Write the equation of the line passing through the given pair of points. (5,11) and (12,4)

The percent p of high school seniors who smoke cigarettes can be described by , where t is the number of years past 1975. Choose the sentence that correctly interprets the meaning of the slope as a rate of change.

For , find .

Solve for y in terms of x.

The figure below is the graph of the demand function D, the supply function S, and the supply function after a $30 tax T for the same product. Is it possible for the government to earn no money if it keeps increasing taxes on this product?