Question 1

Find the slope m and y-intercept b of the line whose equation is given below. ​
X = -   ​

Accepted Answer

A) ​m = -  
, b = 0 
B) m = 0, b = 0 
C) m = -  
, b =   
D) m = 0, b = -   
E) Both m and b are undefined. 
A) ​m = -  
, b = 0 
B) m = 0, b = 0 
C) m = -  
, b =   
D) m = 0, b = -   
E) Both m and b are undefined.

Question 2

Solve the equation. ​   ​

Accepted Answer

A)    
B)    
C) 14 
D) 0 
E) 4 
A)    
B)    
C) 14 
D) 0 
E) 4

Question 3

If a line is vertical, then its slope is undefined.

Accepted Answer

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

Question 4

Approximate the zeros of the function below by approximating the x-intercepts with a graphing utility. Round your answer to four decimal places ​   ​

Accepted Answer

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

Question 5

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 $3.3 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 13.4 pounds of peanuts with 61 pounds of cashews. 
B) The wholesaler should mix 14 pounds of peanuts with 73.4 pounds of cashews. 
C) The wholesaler should mix 26.6 pounds of peanuts with 86 pounds of cashews. 
D) The wholesaler should mix 39 pounds of peanuts with 86.6 pounds of cashews. 
E) The wholesaler should mix 20 pounds of peanuts with 80 pounds of cashews. 
A) The wholesaler should mix 13.4 pounds of peanuts with 61 pounds of cashews. 
B) The wholesaler should mix 14 pounds of peanuts with 73.4 pounds of cashews. 
C) The wholesaler should mix 26.6 pounds of peanuts with 86 pounds of cashews. 
D) The wholesaler should mix 39 pounds of peanuts with 86.6 pounds of cashews. 
E) The wholesaler should mix 20 pounds of peanuts with 80 pounds of cashews.

Question 6

Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to   . Graph this equation with a graphing utility and the range   Because E represents consumer expenditure, only values of   have meaning. Determine the values of p for which   . ​ ​

Accepted Answer

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

Question 7

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. ​   ​
Will a price above the equilibrium price result in a market surplus or shortage?
​

Accepted Answer

A) shortage 
B) surplus 
A) shortage 
B) surplus

Question 8

For   and   , find   . ​

Accepted Answer

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

Question 9

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

Accepted Answer

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

Question 10

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 11

A linear cost function is   , where x represents the number of units produced. What is the cost of producing one more item if 150 are currently being produced? Round your answer to the nearest cent. ​

Accepted Answer

A) $9,766.18 
B) $29.18 
C) $5,360.00 
D) $5,389.18 
E) $150.00 
A) $9,766.18 
B) $29.18 
C) $5,360.00 
D) $5,389.18 
E) $150.00

Question 12

Which of the graphs below represent y as a function of x? ​
(a)
​   (b)
​   ​

Accepted Answer

A) only (a) 
B) neither (a) nor (b) 
C) only (b) 
D) both (a) and (b) 
A) only (a) 
B) neither (a) nor (b) 
C) only (b) 
D) both (a) and (b)

Question 13

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 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

In a study using 50 foreign-language vocabulary words, the learning rate L (in words per minute) was found to depend on the number of words already learned x, according to the equation   . Use the intercepts to determine a window, and then use a graphing utility to graph the equation for   Based on the graph, is the learning rate increasing or decreasing? ​

Accepted Answer

A) increasing 
B) decreasing 
A) increasing 
B) decreasing

Question 16

A bank lent $108,500 to a company for the development of two products. If the loan for product A was for $33,500 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 17

Solve the system of equations by substitution. ​   ​

Accepted Answer

A) (-10,-21) 
B) (5,-10) 
C) (9,-21) 
D) (5,9) 
E) (-21,5) 
A) (-10,-21) 
B) (5,-10) 
C) (9,-21) 
D) (5,9) 
E) (-21,5)

Question 18

Graph the function below and experiment with the viewing window to obtain a complete graph, adjusting the ranges where necessary. Does the figure below show the complete graph? ​
​   ​
​   ​

Accepted Answer

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

Question 19

The graph of   is shown in the figure below. ​
​   ​
Does the point (0,1) lie on the graph? In other words, do the coordinates satisfy the equation?
​

Accepted Answer

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

Question 20

Graph the function using a window that gives a complete graph. What does y approach as x gets large? ​   ​

Accepted Answer

A) 0 
B) -10 
C) 1 
D) 10 
E) 5 
A) 0 
B) -10 
C) 1 
D) 10 
E) 5

Find the slope m and y-intercept b of the line whose equation is given below. X = -

Solve the equation.

If a line is vertical, then its slope is undefined.

Approximate the zeros of the function below by approximating the x-intercepts with a graphing utility. Round your answer to four decimal places

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 $3.3 per pound, how many pounds each of peanuts and cashews should be used to make 100 pounds of the mix?

Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to . Graph this equation with a graphing utility and the range Because E represents consumer expenditure, only values of have meaning. Determine the values of p for which .

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. Will a price above the equilibrium price result in a market surplus or shortage?

For and , find .

Solve the inequality and choose the graph of the solution.

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 linear cost function is , where x represents the number of units produced. What is the cost of producing one more item if 150 are currently being produced? Round your answer to the nearest cent.

Which of the graphs below represent y as a function of x? (a) (b)

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 system by elimination, or by any convenient method.

A bank lent $108,500 to a company for the development of two products. If the loan for product A was for $33,500 more than that for product B, how much was lent for each product?

Solve the system of equations by substitution.

Graph the function below and experiment with the viewing window to obtain a complete graph, adjusting the ranges where necessary. Does the figure below show the complete graph?

The graph of is shown in the figure below. Does the point (0,1) lie on the graph? In other words, do the coordinates satisfy the equation?

Graph the function using a window that gives a complete graph. What does y approach as x gets large?

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

Find the slope m and y-intercept b of the line whose equation is given below. ​ X = - ​

Solve the equation. ​ ​

If a line is vertical, then its slope is undefined.

Approximate the zeros of the function below by approximating the x-intercepts with a graphing utility. Round your answer to four decimal places ​ ​

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 $3.3 per pound, how many pounds each of peanuts and cashews should be used to make 100 pounds of the mix? ​

Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to . Graph this equation with a graphing utility and the range Because E represents consumer expenditure, only values of have meaning. Determine the values of p for which . ​ ​

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. ​ ​ Will a price above the equilibrium price result in a market surplus or shortage? ​

For and , find . ​

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

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 linear cost function is , where x represents the number of units produced. What is the cost of producing one more item if 150 are currently being produced? Round your answer to the nearest cent. ​

Which of the graphs below represent y as a function of x? ​ (a) ​ (b) ​ ​

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

A bank lent $108,500 to a company for the development of two products. If the loan for product A was for $33,500 more than that for product B, how much was lent for each product? ​

Solve the system of equations by substitution. ​ ​

Graph the function below and experiment with the viewing window to obtain a complete graph, adjusting the ranges where necessary. Does the figure below show the complete graph? ​ ​ ​ ​ ​

The graph of is shown in the figure below. ​ ​ ​ Does the point (0,1) lie on the graph? In other words, do the coordinates satisfy the equation? ​

Graph the function using a window that gives a complete graph. What does y approach as x gets large? ​ ​

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

Find the slope m and y-intercept b of the line whose equation is given below. X = -

Solve the equation.

Approximate the zeros of the function below by approximating the x-intercepts with a graphing utility. Round your answer to four decimal places

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 $3.3 per pound, how many pounds each of peanuts and cashews should be used to make 100 pounds of the mix?

Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in dollars) according to . Graph this equation with a graphing utility and the range Because E represents consumer expenditure, only values of have meaning. Determine the values of p for which .

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. Will a price above the equilibrium price result in a market surplus or shortage?

For and , find .

Solve the inequality and choose the graph of the solution.

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 linear cost function is , where x represents the number of units produced. What is the cost of producing one more item if 150 are currently being produced? Round your answer to the nearest cent.

Which of the graphs below represent y as a function of x? (a) (b)

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 system by elimination, or by any convenient method.

A bank lent $108,500 to a company for the development of two products. If the loan for product A was for $33,500 more than that for product B, how much was lent for each product?

Solve the system of equations by substitution.

Graph the function below and experiment with the viewing window to obtain a complete graph, adjusting the ranges where necessary. Does the figure below show the complete graph?

The graph of is shown in the figure below. Does the point (0,1) lie on the graph? In other words, do the coordinates satisfy the equation?

Graph the function using a window that gives a complete graph. What does y approach as x gets large?