Question 1

​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) ​Yes 
B) ​No 
A) ​Yes 
B) ​No

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

A woman has $309,000 invested in two rental properties. One yields 10% on the investment, and the other yields 12%. Her total income from them is $34,500. How much is her income from each property? ​

Accepted Answer

A) She has invested $3,750 at 10% and $305,250 at 12% 
B) She has invested $129,000 at 10% and $180,000 at 12% 
C) She has invested $136,500 at 10% and $172,500 at 12% 
D) She has invested $43,500 at 10% and $265,500 at 12% 
E) She has invested $7,500 at 10% and $301,500 at 12% 
A) She has invested $3,750 at 10% and $305,250 at 12% 
B) She has invested $129,000 at 10% and $180,000 at 12% 
C) She has invested $136,500 at 10% and $172,500 at 12% 
D) She has invested $43,500 at 10% and $265,500 at 12% 
E) She has invested $7,500 at 10% and $301,500 at 12%

Question 4

Use the left-to-right elimination method to solve the system. ​   ​

Accepted Answer

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

Question 5

Suppose a stereo receiver manufacturer has the total cost function   and the total revenue function   , where x represents the number of units produced and sold. What is the equation of the profit function,   , for this commodity? ​

Accepted Answer

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

Question 6

A biologist has a 40% solution and a 10% solution of the same plant nutrient. How many cubic centimeters of each solution should be mixed to obtain 40 cc of a 25% solution? ​

Accepted Answer

A) The biologist should mix 15 cc of 40% solution with 25 cc of 10% solution. 
B) The biologist should mix 20 cc of 40% solution with 20 cc of 10% solution. 
C) The biologist should mix 5 cc of 40% solution with 35 cc of 10% solution. 
D) The biologist should mix 25 cc of 40% solution with 15 cc of 10% solution. 
E) The biologist should mix 30 cc of 40% solution with 10 cc of 10% solution. 
A) The biologist should mix 15 cc of 40% solution with 25 cc of 10% solution. 
B) The biologist should mix 20 cc of 40% solution with 20 cc of 10% solution. 
C) The biologist should mix 5 cc of 40% solution with 35 cc of 10% solution. 
D) The biologist should mix 25 cc of 40% solution with 15 cc of 10% solution. 
E) The biologist should mix 30 cc of 40% solution with 10 cc of 10% solution.

Question 7

What is the rate of change of the function whose graph is a line passing through   and   ? ​

Accepted Answer

A) 1 
B) 3 
C) 4 
D) 0 
E) The rate of change is undefined. 
A) 1 
B) 3 
C) 4 
D) 0 
E) The rate of change is undefined.

Question 8

The equation in this problem leads to a linear equation. Solve for   . 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 = 4 
B) x = 8 
C) x =   
D) x =   
E) no solution 
A) x = 4 
B) x = 8 
C) x =   
D) x =   
E) no solution

Question 9

If   , is y a function of x? ​

Accepted Answer

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

Question 10

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 80%. Round your answer to two decimal places.
​

Accepted Answer

A) S = 132.87 A = 125.07 
B) S = 131.95 A = 124.24 
C) S = 131.04 A = 123.41 
D) S = 104.50 A = 99.46 
E) S = 141.1 A = 132.50 
A) S = 132.87 A = 125.07 
B) S = 131.95 A = 124.24 
C) S = 131.04 A = 123.41 
D) S = 104.50 A = 99.46 
E) S = 141.1 A = 132.50

Question 11

Solve the equation. ​   ​

Accepted Answer

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

Question 12

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) Yes 
B) No 
A) Yes 
B) No

Question 13

Use the left-to-right elimination method to solve the system. ​   ​

Accepted Answer

A) solution:   
B) solution:   
C) solution:   
D) solution:   
E) solution:   
A) solution:   
B) solution:   
C) solution:   
D) solution:   
E) solution:

Question 14

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 15

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 16

Use the left-to-right elimination method to solve the system. ​   ​

Accepted Answer

A) solution:   
B) solution:   
C) solution:   
D) solution:   
E) solution:   
A) solution:   
B) solution:   
C) solution:   
D) solution:   
E) solution:

Question 17

The total price of a new car (including 5% sales tax) is $23,456. How much of this is tax? Round your answer to the nearest cent. ​

Accepted Answer

A) $1,114.16 
B) $5,226,747.39 
C) $2,345.60 
D) $2,228.32 
E) $1,116.95 
A) $1,114.16 
B) $5,226,747.39 
C) $2,345.60 
D) $2,228.32 
E) $1,116.95

Question 18

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

Accepted Answer

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

Question 19

If 150 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(75-x), where x is the width of the rectangle. Is A a function of x?

Accepted Answer

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

Question 20

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

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

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

A woman has $309,000 invested in two rental properties. One yields 10% on the investment, and the other yields 12%. Her total income from them is $34,500. How much is her income from each property?

Use the left-to-right elimination method to solve the system.

Suppose a stereo receiver manufacturer has the total cost function and the total revenue function , where x represents the number of units produced and sold. What is the equation of the profit function, , for this commodity?

A biologist has a 40% solution and a 10% solution of the same plant nutrient. How many cubic centimeters of each solution should be mixed to obtain 40 cc of a 25% solution?

What is the rate of change of the function whose graph is a line passing through and ?

The equation in this problem leads to a linear equation. Solve for . 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.

If , is y a function of x?

Solve the equation.

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?

Use the left-to-right elimination method to solve the system.

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

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

Use the left-to-right elimination method to solve the system.

The total price of a new car (including 5% sales tax) is $23,456. How much of this is tax? Round your answer to the nearest cent.

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

If 150 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(75-x), where x is the width of the rectangle. Is A a function of x?

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

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

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

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

A woman has $309,000 invested in two rental properties. One yields 10% on the investment, and the other yields 12%. Her total income from them is $34,500. How much is her income from each property? ​

Use the left-to-right elimination method to solve the system. ​ ​

Suppose a stereo receiver manufacturer has the total cost function and the total revenue function , where x represents the number of units produced and sold. What is the equation of the profit function, , for this commodity? ​

A biologist has a 40% solution and a 10% solution of the same plant nutrient. How many cubic centimeters of each solution should be mixed to obtain 40 cc of a 25% solution? ​

What is the rate of change of the function whose graph is a line passing through and ? ​

The equation in this problem leads to a linear equation. Solve for . 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.

If , is y a function of x? ​

Solve the equation. ​ ​

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? ​

Use the left-to-right elimination method to solve the system. ​ ​

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

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

Use the left-to-right elimination method to solve the system. ​ ​

The total price of a new car (including 5% sales tax) is $23,456. How much of this is tax? Round your answer to the nearest cent. ​

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

If 150 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(75-x), where x is the width of the rectangle. Is A a function of x?

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

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

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

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

A woman has $309,000 invested in two rental properties. One yields 10% on the investment, and the other yields 12%. Her total income from them is $34,500. How much is her income from each property?

Use the left-to-right elimination method to solve the system.

Suppose a stereo receiver manufacturer has the total cost function and the total revenue function , where x represents the number of units produced and sold. What is the equation of the profit function, , for this commodity?

A biologist has a 40% solution and a 10% solution of the same plant nutrient. How many cubic centimeters of each solution should be mixed to obtain 40 cc of a 25% solution?

What is the rate of change of the function whose graph is a line passing through and ?

If , is y a function of x?

Solve the equation.

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?

Use the left-to-right elimination method to solve the system.

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

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

Use the left-to-right elimination method to solve the system.

The total price of a new car (including 5% sales tax) is $23,456. How much of this is tax? Round your answer to the nearest cent.

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

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