Question 1

Find the intercepts of the following function. ​   ​

Accepted Answer

A)  x-intercept: 24
Y-intercept: -15 
B)  x-intercept: -15
Y-intercept: 24 
C)  x-intercept: -3
Y-intercept: 3 
D)  x-intercept: 15
Y-intercept: -24 
E)  x-intercept: 8
Y-intercept: -5 
A)  x-intercept: 24
Y-intercept: -15 
B)  x-intercept: -15
Y-intercept: 24 
C)  x-intercept: -3
Y-intercept: 3 
D)  x-intercept: 15
Y-intercept: -24 
E)  x-intercept: 8
Y-intercept: -5

Question 2

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 3

Solve for y in terms of x. ​   ​

Accepted Answer

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

Question 4

Suppose the percent of U.S. high school seniors from 1975 to 2001 who used marijuana can be modeled by   percent, where x is the number of years past 1975. Choose the correct interpretation the slope in this equation as a rate of change. ​

Accepted Answer

A)  The percentage of U.S. high school seniors who used marijuana increased at a rate of 0.177% per year. 
B)  The percentage of U.S. high school seniors who used marijuana decreased at a rate of 17.7% per year. 
C)  The percentage of U.S. high school seniors who used marijuana decreased at a rate of 0.177% per year. 
D)  The percentage of U.S. high school seniors who used marijuana increased at a rate of 17.7% per year. 
E)  The percentage of U.S. high school seniors who used marijuana decreased at a rate of 1.77% per year. 
A)  The percentage of U.S. high school seniors who used marijuana increased at a rate of 0.177% per year. 
B)  The percentage of U.S. high school seniors who used marijuana decreased at a rate of 17.7% per year. 
C)  The percentage of U.S. high school seniors who used marijuana decreased at a rate of 0.177% per year. 
D)  The percentage of U.S. high school seniors who used marijuana increased at a rate of 17.7% per year. 
E)  The percentage of U.S. high school seniors who used marijuana decreased at a rate of 1.77% per year.

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 = 5 
B)  x = 15 
C)  x =   
D)  x =   
E)  no solution 
A)  x = 5 
B)  x = 15 
C)  x =   
D)  x =   
E)  no solution

Question 6

Find the intercepts of the following function. ​   ​

Accepted Answer

A)  x-intercept:  
Y-intercept:   
B)  x-intercept:  
Y-intercept:   
C)  x-intercept:  
Y-intercept:   
D)  x-intercept:  
Y-intercept:   
E)  x-intercept:  
Y-intercept:   
A)  x-intercept:  
Y-intercept:   
B)  x-intercept:  
Y-intercept:   
C)  x-intercept:  
Y-intercept:   
D)  x-intercept:  
Y-intercept:   
E)  x-intercept:  
Y-intercept:

Question 7

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

Accepted Answer

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

Question 8

A nut wholesaler sells a mix of cashews and peanuts. He charges $2.80 per pound for cashews and $5.30 per pound for peanuts. If the mix is to sell for $3.1 per pound, how many pounds each of peanuts and cashews should be used to make 100 pounds of the mix? ​

Accepted Answer

A)  The wholesaler should mix 5.8 pounds of peanuts with 59 pounds of cashews. 
B)  The wholesaler should mix 16 pounds of peanuts with 81.8 pounds of cashews. 
C)  The wholesaler should mix 18.2 pounds of peanuts with 84 pounds of cashews. 
D)  The wholesaler should mix 41 pounds of peanuts with 94.2 pounds of cashews. 
E)  The wholesaler should mix 12 pounds of peanuts with 88 pounds of cashews. 
A)  The wholesaler should mix 5.8 pounds of peanuts with 59 pounds of cashews. 
B)  The wholesaler should mix 16 pounds of peanuts with 81.8 pounds of cashews. 
C)  The wholesaler should mix 18.2 pounds of peanuts with 84 pounds of cashews. 
D)  The wholesaler should mix 41 pounds of peanuts with 94.2 pounds of cashews. 
E)  The wholesaler should mix 12 pounds of peanuts with 88 pounds of cashews.

Question 9

In seawater, the pressure p is related to the depth d according to   , where d is in feet and p is in pounds per square inch. The Titanic was discovered at a depth of 12,460 ft. Find the pressure at this depth. Round your answer to the nearest whole number. ​

Accepted Answer

A)  6,781 lb/sq in 
B)  22,871 lb/sq in 
C)  22,816 lb/sq in 
D)  6,811 lb/sq in 
E)  6796 lb/sq in 
A)  6,781 lb/sq in 
B)  22,871 lb/sq in 
C)  22,816 lb/sq in 
D)  6,811 lb/sq in 
E)  6796 lb/sq in

Question 10

A linear cost function is   , where x represents the number of units produced. If 60 units are currently produced, determine the marginal cost. ​
​

Accepted Answer

A)  $225 
B)  $235​ 
C)  $835 
D)  ​$60 
E)  $10 
A)  $225 
B)  $235​ 
C)  $835 
D)  ​$60 
E)  $10

Question 11

Write the equation of the line through (8, -7) that is perpendicular to   ​

Accepted Answer

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

Question 12

Assume that the price for a pair of shoes has been set at $20. The demand for a pair of shoes is given by   and the supply for the same pair of shoes is   . In both cases p is price per pair and q is the quantity produced or sold. Compare the quantity demanded and the quantity supplied. Will there be a surplus or shortfall at this price? ​

Accepted Answer

A)  There will be a shortfall. 
B)  There will be a surplus. 
A)  There will be a shortfall. 
B)  There will be a surplus.

Question 13

For   and   , find   . ​

Accepted Answer

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

Question 14

Solve the system by elimination, or by any convenient method. ​   ​

Accepted Answer

A)    and   
B)    and   
C)    and   
D)  There are infinitely many solutions. 
E)  There is no solution. 
A)    and   
B)    and   
C)    and   
D)  There are infinitely many solutions. 
E)  There is no solution.

Question 15

Solve the system of equations by substitution. ​   ​

Accepted Answer

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

Question 16

Choose the graph that represents the equation below. ​   ​
​

Accepted Answer

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

Question 17

Solve the system of equations by using graphical methods. ​   ​

Accepted Answer

A)  (-5,5) 
B)  (-5,-3) 
C)  (-2,5) 
D)  (-2,-5) 
E)  There is no solution to the equations. 
A)  (-5,5) 
B)  (-5,-3) 
C)  (-2,5) 
D)  (-2,-5) 
E)  There is no solution to the equations.

Question 18

A shoe store owner will buy 10 pairs of a certain shoe if the price is $75 per pair and 30 pairs if the price is $25. The supplier of the shoes is willing to provide 40 pairs if the price is $90 per pair but only 5 pairs if the price is $20. Assuming the supply and demand functions for the shoes are linear, find the market equilibrium point   . ​

Accepted Answer

A)  market equilibrium point:   
B)  market equilibrium point:   
C)  market equilibrium point:   
D)  market equilibrium point:   
E)  market equilibrium point:   
A)  market equilibrium point:   
B)  market equilibrium point:   
C)  market equilibrium point:   
D)  market equilibrium point:   
E)  market equilibrium point:

Question 19

A woman has $289,000 invested in two rental properties. One yields 10% on the investment, and the other yields 12%. Her total income from them is $33,000. How much is her income from each property? ​

Accepted Answer

A)  She has invested $20,000 at 10% and $269,000 at 12% 
B)  She has invested $84,000 at 10% and $205,000 at 12% 
C)  She has invested $124,000 at 10% and $165,000 at 12% 
D)  She has invested $81,000 at 10% and $208,000 at 12% 
E)  She has invested $40,000 at 10% and $249,000 at 12% 
A)  She has invested $20,000 at 10% and $269,000 at 12% 
B)  She has invested $84,000 at 10% and $205,000 at 12% 
C)  She has invested $124,000 at 10% and $165,000 at 12% 
D)  She has invested $81,000 at 10% and $208,000 at 12% 
E)  She has invested $40,000 at 10% and $249,000 at 12%

Question 20

The figure below is the graph of both the demand function D and the supply function S for the same product, where P is the price per unit and Q is the number of units produced. Will there be a market surplus or shortage when the price P is $150? ​   ​

Accepted Answer

A)  There will be a market surplus. 
B)  There will be a market shortage. 
A)  There will be a market surplus. 
B)  There will be a market shortage.

Find the intercepts of the following function.

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

Solve for y in terms of x.

Suppose the percent of U.S. high school seniors from 1975 to 2001 who used marijuana can be modeled by percent, where x is the number of years past 1975. Choose the correct interpretation the slope in this equation as a rate of change.

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.

Find the intercepts of the following function.

Solve the inequality and choose the graph of the solution.

A nut wholesaler sells a mix of cashews and peanuts. He charges $2.80 per pound for cashews and $5.30 per pound for peanuts. If the mix is to sell for $3.1 per pound, how many pounds each of peanuts and cashews should be used to make 100 pounds of the mix?

In seawater, the pressure p is related to the depth d according to , where d is in feet and p is in pounds per square inch. The Titanic was discovered at a depth of 12,460 ft. Find the pressure at this depth. Round your answer to the nearest whole number.

A linear cost function is , where x represents the number of units produced. If 60 units are currently produced, determine the marginal cost.

Write the equation of the line through (8, -7) that is perpendicular to

For and , find .

Solve the system by elimination, or by any convenient method.

Solve the system of equations by substitution.

Choose the graph that represents the equation below.

Solve the system of equations by using graphical methods.

A woman has $289,000 invested in two rental properties. One yields 10% on the investment, and the other yields 12%. Her total income from them is $33,000. How much is her income from each property?

The figure below is the graph of both the demand function D and the supply function S for the same product, where P is the price per unit and Q is the number of units produced. Will there be a market surplus or shortage when the price P is $150?

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

Find the intercepts of the following function. ​ ​

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

Solve for y in terms of x. ​ ​

Suppose the percent of U.S. high school seniors from 1975 to 2001 who used marijuana can be modeled by percent, where x is the number of years past 1975. Choose the correct interpretation the slope in this equation as a rate of change. ​

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. ​ ​

Find the intercepts of the following function. ​ ​

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

A nut wholesaler sells a mix of cashews and peanuts. He charges $2.80 per pound for cashews and $5.30 per pound for peanuts. If the mix is to sell for $3.1 per pound, how many pounds each of peanuts and cashews should be used to make 100 pounds of the mix? ​

In seawater, the pressure p is related to the depth d according to , where d is in feet and p is in pounds per square inch. The Titanic was discovered at a depth of 12,460 ft. Find the pressure at this depth. Round your answer to the nearest whole number. ​

A linear cost function is , where x represents the number of units produced. If 60 units are currently produced, determine the marginal cost. ​ ​

Write the equation of the line through (8, -7) that is perpendicular to ​

For and , find . ​

Solve the system by elimination, or by any convenient method. ​ ​

Solve the system of equations by substitution. ​ ​

Choose the graph that represents the equation below. ​ ​ ​

Solve the system of equations by using graphical methods. ​ ​

A woman has $289,000 invested in two rental properties. One yields 10% on the investment, and the other yields 12%. Her total income from them is $33,000. How much is her income from each property? ​

The figure below is the graph of both the demand function D and the supply function S for the same product, where P is the price per unit and Q is the number of units produced. Will there be a market surplus or shortage when the price P is $150? ​ ​

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

Find the intercepts of the following function.

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

Solve for y in terms of x.

Suppose the percent of U.S. high school seniors from 1975 to 2001 who used marijuana can be modeled by percent, where x is the number of years past 1975. Choose the correct interpretation the slope in this equation as a rate of change.

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.

Find the intercepts of the following function.

Solve the inequality and choose the graph of the solution.

A nut wholesaler sells a mix of cashews and peanuts. He charges $2.80 per pound for cashews and $5.30 per pound for peanuts. If the mix is to sell for $3.1 per pound, how many pounds each of peanuts and cashews should be used to make 100 pounds of the mix?

In seawater, the pressure p is related to the depth d according to , where d is in feet and p is in pounds per square inch. The Titanic was discovered at a depth of 12,460 ft. Find the pressure at this depth. Round your answer to the nearest whole number.

A linear cost function is , where x represents the number of units produced. If 60 units are currently produced, determine the marginal cost.

Write the equation of the line through (8, -7) that is perpendicular to

For and , find .

Solve the system by elimination, or by any convenient method.

Solve the system of equations by substitution.

Choose the graph that represents the equation below.

Solve the system of equations by using graphical methods.

A woman has $289,000 invested in two rental properties. One yields 10% on the investment, and the other yields 12%. Her total income from them is $33,000. How much is her income from each property?

The figure below is the graph of both the demand function D and the supply function S for the same product, where P is the price per unit and Q is the number of units produced. Will there be a market surplus or shortage when the price P is $150?