Question 1

Solve   for t. ​

Accepted Answer

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

Question 2

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 3

The profit from the production and sale of a product is   where x represents the number of units produced and sold. Give the value of P​(3,000). ​

Accepted Answer

A) ​$-131,000 
B) $-40,000 
C) $-26,000 
D) $40,000 
E) $334,000 
A) ​$-131,000 
B) $-40,000 
C) $-26,000 
D) $40,000 
E) $334,000

Question 4

The number of millions of short tons of carbon monoxide emissions y in the United States can be described by   , where x is the number of years past 1970 (Source: Environmental Protection Agency). Use a graphing utility to plot this function and then use the graph to determine how many short tons of emissions occurred in 2005? ​

Accepted Answer

A) 193.60 million short tons 
B) 698.57 million short tons 
C) 69.76 million short tons 
D) 412.97 million short tons 
E) 110.57 million short tons 
A) 193.60 million short tons 
B) 698.57 million short tons 
C) 69.76 million short tons 
D) 412.97 million short tons 
E) 110.57 million short tons

Question 5

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

Accepted Answer

A) ​no 
B) ​yes 
A) ​no 
B) ​yes

Question 6

Determine whether the values in the table describe x as a function of y. ​

Accepted Answer

A) True 
B) False 
A) True 
B) False

Question 7

Write the equation of the line passing through the given pair of points. ​
​   and   ​

Accepted Answer

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

Question 8

Graph the function using a window that gives a complete graph. Does the figure below show the complete graph? ​
​   ​   ​

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 9

The percent of the U.S. population with Internet service can be described by   , where x is the number of years past 1995. What interpretation could be given to the y-intercept of this equation? ​

Accepted Answer

A) In 1995, 15.38% more of the U.S. population had Internet access than in the previous year. 
B) In 1995, the number of people in the U.S. with Internet access increased at a rate of 15.38% per year. 
C) At present, the number of people in the U.S. with Internet access is increasing at a rate of 15.38% per year. 
D) In 1995, 15.38% of the U.S. population had Internet access. 
E) At present, 15.38% of the U.S. population has Internet access. 
A) In 1995, 15.38% more of the U.S. population had Internet access than in the previous year. 
B) In 1995, the number of people in the U.S. with Internet access increased at a rate of 15.38% per year. 
C) At present, the number of people in the U.S. with Internet access is increasing at a rate of 15.38% per year. 
D) In 1995, 15.38% of the U.S. population had Internet access. 
E) At present, 15.38% of the U.S. population has Internet access.

Question 10

One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $146,400 to invest would like to have an income of $21,000 per year from her investments. How much should she invest at in the 18% rate fund? ​

Accepted Answer

A) $66,900 
B) $79,500 
C) $116,100 
D) $92,880 
E) $63,600 
A) $66,900 
B) $79,500 
C) $116,100 
D) $92,880 
E) $63,600

Question 11

For   and   , find   . ​

Accepted Answer

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

Question 12

The number (in millions) of women in the work force, given as a function f, of the year for selected years from 1920 to 2000, is shown in the figure below. Estimate   and explain its meaning. ​​   ​
Source: 2004 World Almanac
​

Accepted Answer

A)   
: The number of women in the work force increased by 10,000,000. 
B)   
: The number of women in the work force decreased by 2,000,000. 
C)   
: The number of women in the work force did not increase. 
D)   
: The number of women in the work force increased by 2,000,000. 
E)   
: The number of women in the work force decreased by 10,000,000 
A)   
: The number of women in the work force increased by 10,000,000. 
B)   
: The number of women in the work force decreased by 2,000,000. 
C)   
: The number of women in the work force did not increase. 
D)   
: The number of women in the work force increased by 2,000,000. 
E)   
: The number of women in the work force decreased by 10,000,000

Question 13

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 12,400 ft. Find the pressure at this depth. Round your answer to the nearest whole number. ​

Accepted Answer

A) 6,749 lb/sq in 
B) 22,760 lb/sq in 
C) 22,707 lb/sq in 
D) 6,778 lb/sq in 
E) 6764 lb/sq in 
A) 6,749 lb/sq in 
B) 22,760 lb/sq in 
C) 22,707 lb/sq in 
D) 6,778 lb/sq in 
E) 6764 lb/sq in

Question 14

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

Accepted Answer

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

Question 15

If   is y a function of x?

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 16

Is the relation defined by the table a function of x? ​

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 17

A manufacturer of shower-surrounds has a revenue function of   and a cost function of   , where x represents the number of units produced and sold. Find the number of units that must be sold to break even. ​

Accepted Answer

A) 94 
B) 20 
C) 100 
D) 17 
E) 13 
A) 94 
B) 20 
C) 100 
D) 17 
E) 13

Question 18

The graphs of the two equations below are shown. The lines representing these equations may be the same, may intersect once, or may be parallel. Decide whether the system of equations in the problem has one solution, no solution, or an infinite number of solutions. ​   and   ​   ​

Accepted Answer

A) one solution 
B) no solution 
C) infinite solutions 
A) one solution 
B) no solution 
C) infinite solutions

Question 19

A manufacturer sells watches for $75 per unit. The fixed costs related to this product are $8,000 per month, and the variable costs are $55 per unit. Which of the following is the equation for the profit function   where x denotes the number of watches produced and sold? ​

Accepted Answer

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

Question 20

A couple seeking to buy a home decides that a monthly payment of $800 fits their budget. Their bank's interest rate is 7.5%. The amount they can borrow A is a function of the time t in years that it will take to repay the debt. If we denote this function by   , then the following table defines the function. ​   Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston
Choose the expression in the form   which describes how long they will have to make payments if they need to borrow $69,000.
​

Accepted Answer

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

Solve for t.

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

The profit from the production and sale of a product is where x represents the number of units produced and sold. Give the value of P(3,000).

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

Determine whether the values in the table describe x as a function of y.

Write the equation of the line passing through the given pair of points. and

Graph the function using a window that gives a complete graph. Does the figure below show the complete graph?

The percent of the U.S. population with Internet service can be described by , where x is the number of years past 1995. What interpretation could be given to the y-intercept of this equation?

One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $146,400 to invest would like to have an income of $21,000 per year from her investments. How much should she invest at in the 18% rate fund?

For and , find .

The number (in millions) of women in the work force, given as a function f, of the year for selected years from 1920 to 2000, is shown in the figure below. Estimate and explain its meaning. Source: 2004 World Almanac

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 12,400 ft. Find the pressure at this depth. Round your answer to the nearest whole number.

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

If is y a function of x?

Is the relation defined by the table a function of x?

A manufacturer of shower-surrounds has a revenue function of and a cost function of , where x represents the number of units produced and sold. Find the number of units that must be sold to break even.

The graphs of the two equations below are shown. The lines representing these equations may be the same, may intersect once, or may be parallel. Decide whether the system of equations in the problem has one solution, no solution, or an infinite number of solutions. and

A manufacturer sells watches for $75 per unit. The fixed costs related to this product are $8,000 per month, and the variable costs are $55 per unit. Which of the following is the equation for the profit function where x denotes the number of watches produced and sold?

Algebraic Concepts

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 2: Linear Equations and Functions

Solve for t. ​

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

The profit from the production and sale of a product is where x represents the number of units produced and sold. Give the value of P​(3,000). ​

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

Determine whether the values in the table describe x as a function of y. ​

Write the equation of the line passing through the given pair of points. ​ ​ and ​

Graph the function using a window that gives a complete graph. Does the figure below show the complete graph? ​ ​ ​ ​

The percent of the U.S. population with Internet service can be described by , where x is the number of years past 1995. What interpretation could be given to the y-intercept of this equation? ​

One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $146,400 to invest would like to have an income of $21,000 per year from her investments. How much should she invest at in the 18% rate fund? ​

For and , find . ​

The number (in millions) of women in the work force, given as a function f, of the year for selected years from 1920 to 2000, is shown in the figure below. Estimate and explain its meaning. ​​ ​ Source: 2004 World Almanac ​

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 12,400 ft. Find the pressure at this depth. Round your answer to the nearest whole number. ​

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

If is y a function of x?

Is the relation defined by the table a function of x? ​

A manufacturer of shower-surrounds has a revenue function of and a cost function of , where x represents the number of units produced and sold. Find the number of units that must be sold to break even. ​

The graphs of the two equations below are shown. The lines representing these equations may be the same, may intersect once, or may be parallel. Decide whether the system of equations in the problem has one solution, no solution, or an infinite number of solutions. ​ and ​ ​

A manufacturer sells watches for $75 per unit. The fixed costs related to this product are $8,000 per month, and the variable costs are $55 per unit. Which of the following is the equation for the profit function where x denotes the number of watches produced and sold? ​

Algebraic Concepts

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

Solve for t.

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

The profit from the production and sale of a product is where x represents the number of units produced and sold. Give the value of P(3,000).

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

Determine whether the values in the table describe x as a function of y.

Write the equation of the line passing through the given pair of points. and

Graph the function using a window that gives a complete graph. Does the figure below show the complete graph?

The percent of the U.S. population with Internet service can be described by , where x is the number of years past 1995. What interpretation could be given to the y-intercept of this equation?

One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $146,400 to invest would like to have an income of $21,000 per year from her investments. How much should she invest at in the 18% rate fund?

For and , find .

The number (in millions) of women in the work force, given as a function f, of the year for selected years from 1920 to 2000, is shown in the figure below. Estimate and explain its meaning. Source: 2004 World Almanac

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 12,400 ft. Find the pressure at this depth. Round your answer to the nearest whole number.

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

Is the relation defined by the table a function of x?

A manufacturer of shower-surrounds has a revenue function of and a cost function of , where x represents the number of units produced and sold. Find the number of units that must be sold to break even.

The graphs of the two equations below are shown. The lines representing these equations may be the same, may intersect once, or may be parallel. Decide whether the system of equations in the problem has one solution, no solution, or an infinite number of solutions. and

A manufacturer sells watches for $75 per unit. The fixed costs related to this product are $8,000 per month, and the variable costs are $55 per unit. Which of the following is the equation for the profit function where x denotes the number of watches produced and sold?