Question 1

Solve the system of equations by substitution. ​   ​

Accepted Answer

A)  (-30,11) 
B)  (2,-30) 
C)  (-14,11) 
D)  (2,-14) 
E)  (11,2) 
A)  (-30,11) 
B)  (2,-30) 
C)  (-14,11) 
D)  (2,-14) 
E)  (11,2)

Question 2

In the United States between 1970 and 2002, the number (in millions) of black children B(x) and Hispanic children H(x) can be described by   and   , where x is the number of years after December 31st, 1970. In what year were the numbers of children equal? ​

Accepted Answer

A)  1976 
B)  1998 
C)  1977 
D)  1978 
E)  1983 
A)  1976 
B)  1998 
C)  1977 
D)  1978 
E)  1983

Question 3

The number (in millions) of U.S. cellular telephone subscribers can be described by   , where x is the number of years past 1990. For years beyond 2010, does this graph increase or decrease? (Look at this graph in a window that includes these years.) ​

Accepted Answer

A)  increases 
B)  decreases 
A)  increases 
B)  decreases

Question 4

Determine whether the following pairs of equations represent parallel lines, perpendicular lines, or neither of these. ​     ​

Accepted Answer

A)  parallel lines 
B)  perpendicular lines 
C)  neither 
A)  parallel lines 
B)  perpendicular lines 
C)  neither

Question 5

The graph of   is shown in the figure below.
​
​   ​
Does the point (2,2) lie on the graph? In other words, do the coordinates satisfy the equation?
​

Accepted Answer

A) True 
 B)False

Question 6

It has been estimated that a certain stream can support 90,000 fish if it is pollution-free. It has further been estimated that for each ton of pollutants in the stream, 1,700 fewer fish can be supported. Assuming the relationship is linear, write the equation that gives the population of fish p in terms of the tons of pollutants x. ​

Accepted Answer

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

Question 7

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 8

If 140 feet of fence is to be used to fence in a rectangular yard, then the resulting area of the fenced yard is given by A = x(70-x), where x is the width of the rectangle. Is A a function of x?

Accepted Answer

A) True 
 B)False

Question 9

​Use a graphing utility with the specified range to graph the equation. Is the graph below the graph of the given equation?     ​ ​   ​

Accepted Answer

A) True 
 B)False

Question 10

If   is y a function of x?

Accepted Answer

A) True 
 B)False

Question 11

Solve the equation. ​   ​

Accepted Answer

A)    
B)  28 
C)    
D)    
E)  7 
A)    
B)  28 
C)    
D)    
E)  7

Question 12

Graph the equation with a graphing utility using the specified range and then using the standard viewing window. Does the graph below show the specified range or the standard window? ​     ​   ​

Accepted Answer

A)  specified range 
B)  standard window 
A)  specified range 
B)  standard window

Question 13

Let   and   . Does   ?
​

Accepted Answer

A) True 
 B)False

Question 14

A bank lent $127,500 to a company for the development of two products. If the loan for product A was for $21,500 more than that for product B, how much was lent for each product? ​

Accepted Answer

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

Question 15

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)  125 
B)  28 
C)  100 
D)  22 
E)  18 
A)  125 
B)  28 
C)  100 
D)  22 
E)  18

Question 16

State the domain and range of the function below. ​   ​

Accepted Answer

A)  domain: real numbers  
Range: real numbers   
B)  domain: all reals
Range: real numbers   
C)  domain: real numbers  
Range: all reals 
D)  domain: all reals
Range: real numbers   
E)  domain: real numbers  
Range: real numbers   
A)  domain: real numbers  
Range: real numbers   
B)  domain: all reals
Range: real numbers   
C)  domain: real numbers  
Range: all reals 
D)  domain: all reals
Range: real numbers   
E)  domain: real numbers  
Range: real numbers

Question 17

The following table gives the number of drinks and the resulting blood alcohol percent for a 180-pound man legally considered driving under the influence (DUI). Is the average rate of change of the blood alcohol percent with respect to the number of drinks a constant?
​

Accepted Answer

A) True 
 B)False

Question 18

One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $145,400 to invest would like to have an income of $20,000 per year from her investments. How much should she invest at in the 18% rate fund? ​

Accepted Answer

A)  $77,150 
B)  $68,250 
C)  $104,600 
D)  $83,680 
E)  $54,600 
A)  $77,150 
B)  $68,250 
C)  $104,600 
D)  $83,680 
E)  $54,600

Question 19

The figure below show the demand and supply functions for a product. Decide which line shows the supply function and which line the demand function. ​   ​
Is there a surplus or shortage when the price is $26?
​

Accepted Answer

A)  There is a shortage. 
B)  There is a surplus. 
A)  There is a shortage. 
B)  There is a surplus.

Question 20

Complete the problem by using your calculator. Round your answer to three decimal places. ​
If   find   and   ​

Accepted Answer

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

Solve the system of equations by substitution.

In the United States between 1970 and 2002, the number (in millions) of black children B(x) and Hispanic children H(x) can be described by and , where x is the number of years after December 31st, 1970. In what year were the numbers of children equal?

The number (in millions) of U.S. cellular telephone subscribers can be described by , where x is the number of years past 1990. For years beyond 2010, does this graph increase or decrease? (Look at this graph in a window that includes these years.)

Determine whether the following pairs of equations represent parallel lines, perpendicular lines, or neither of these.

The graph of is shown in the figure below. Does the point (2,2) lie on the graph? In other words, do the coordinates satisfy the equation?

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

If 140 feet of fence is to be used to fence in a rectangular yard, then the resulting area of the fenced yard is given by A = x(70-x), where x is the width of the rectangle. Is A a function of x?

Use a graphing utility with the specified range to graph the equation. Is the graph below the graph of the given equation?

If is y a function of x?

Solve the equation.

Graph the equation with a graphing utility using the specified range and then using the standard viewing window. Does the graph below show the specified range or the standard window?

Let and . Does ?

A bank lent $127,500 to a company for the development of two products. If the loan for product A was for $21,500 more than that for product B, how much was lent for each product?

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.

State the domain and range of the function below.

The following table gives the number of drinks and the resulting blood alcohol percent for a 180-pound man legally considered driving under the influence (DUI). Is the average rate of change of the blood alcohol percent with respect to the number of drinks a constant?

One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $145,400 to invest would like to have an income of $20,000 per year from her investments. How much should she invest at in the 18% rate fund?

The figure below show the demand and supply functions for a product. Decide which line shows the supply function and which line the demand function. Is there a surplus or shortage when the price is $26?

Complete the problem by using your calculator. Round your answer to three decimal places. If find and

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

Solve the system of equations by substitution. ​ ​

In the United States between 1970 and 2002, the number (in millions) of black children B(x) and Hispanic children H(x) can be described by and , where x is the number of years after December 31st, 1970. In what year were the numbers of children equal? ​

The number (in millions) of U.S. cellular telephone subscribers can be described by , where x is the number of years past 1990. For years beyond 2010, does this graph increase or decrease? (Look at this graph in a window that includes these years.) ​

Determine whether the following pairs of equations represent parallel lines, perpendicular lines, or neither of these. ​ ​

The graph of is shown in the figure below. ​ ​ ​ Does the point (2,2) lie on the graph? In other words, do the coordinates satisfy the equation? ​

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

If 140 feet of fence is to be used to fence in a rectangular yard, then the resulting area of the fenced yard is given by A = x(70-x), where x is the width of the rectangle. Is A a function of x?

​Use a graphing utility with the specified range to graph the equation. Is the graph below the graph of the given equation? ​ ​ ​

If is y a function of x?

Solve the equation. ​ ​

Graph the equation with a graphing utility using the specified range and then using the standard viewing window. Does the graph below show the specified range or the standard window? ​ ​ ​

Let and . Does ? ​

A bank lent $127,500 to a company for the development of two products. If the loan for product A was for $21,500 more than that for product B, how much was lent for each product? ​

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. ​

State the domain and range of the function below. ​ ​

The following table gives the number of drinks and the resulting blood alcohol percent for a 180-pound man legally considered driving under the influence (DUI). Is the average rate of change of the blood alcohol percent with respect to the number of drinks a constant? ​

One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $145,400 to invest would like to have an income of $20,000 per year from her investments. How much should she invest at in the 18% rate fund? ​

The figure below show the demand and supply functions for a product. Decide which line shows the supply function and which line the demand function. ​ ​ Is there a surplus or shortage when the price is $26? ​

Complete the problem by using your calculator. Round your answer to three decimal places. ​ If find and ​

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

Solve the system of equations by substitution.

In the United States between 1970 and 2002, the number (in millions) of black children B(x) and Hispanic children H(x) can be described by and , where x is the number of years after December 31st, 1970. In what year were the numbers of children equal?

The number (in millions) of U.S. cellular telephone subscribers can be described by , where x is the number of years past 1990. For years beyond 2010, does this graph increase or decrease? (Look at this graph in a window that includes these years.)

Determine whether the following pairs of equations represent parallel lines, perpendicular lines, or neither of these.

The graph of is shown in the figure below. Does the point (2,2) lie on the graph? In other words, do the coordinates satisfy the equation?

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

Use a graphing utility with the specified range to graph the equation. Is the graph below the graph of the given equation?

Solve the equation.

Graph the equation with a graphing utility using the specified range and then using the standard viewing window. Does the graph below show the specified range or the standard window?

Let and . Does ?

A bank lent $127,500 to a company for the development of two products. If the loan for product A was for $21,500 more than that for product B, how much was lent for each product?

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.

State the domain and range of the function below.

The following table gives the number of drinks and the resulting blood alcohol percent for a 180-pound man legally considered driving under the influence (DUI). Is the average rate of change of the blood alcohol percent with respect to the number of drinks a constant?

One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $145,400 to invest would like to have an income of $20,000 per year from her investments. How much should she invest at in the 18% rate fund?

The figure below show the demand and supply functions for a product. Decide which line shows the supply function and which line the demand function. Is there a surplus or shortage when the price is $26?

Complete the problem by using your calculator. Round your answer to three decimal places. If find and