Question 1

For   and   , find   . ​

Accepted Answer

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

Question 2

If the demand and supply functions for Z-brand phones are   and   respectively, compare the quantity demanded and the quantity supplied when p = 46. Note that q is the quantity produced or sold. Are there surplus phones or not enough to meet demand? ​​

Accepted Answer

A)  There will be a surplus at a price of $46. 
B)  There will be a shortage at a price of $46. 
A)  There will be a surplus at a price of $46. 
B)  There will be a shortage at a price of $46.

Question 3

Mr. Jackson borrowed money from his bank and on his life insurance to start a business. His interest rate on the bank loan was 10%, and his rate on the insurance loan was 12%. If the total amount borrowed was $100,000 and his total yearly interest payment was $10,200, how much did he borrow from the bank? ​

Accepted Answer

A)  He borrowed $10,000 from the bank. 
B)  He borrowed $69,600 from the bank. 
C)  He borrowed $100,200 from the bank. 
D)  He borrowed $200 from the bank. 
E)  He borrowed $90,000 from the bank. 
A)  He borrowed $10,000 from the bank. 
B)  He borrowed $69,600 from the bank. 
C)  He borrowed $100,200 from the bank. 
D)  He borrowed $200 from the bank. 
E)  He borrowed $90,000 from the bank.

Question 4

Solve the inequality. ​   ​

Accepted Answer

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

Question 5

Given a cost function   and a revenue function   , where x represents the number of units produced and sold, find the profit function and then determine the marginal profit. ​

Accepted Answer

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

Question 6

The percent p of high school seniors who smoke cigarettes can be modeled by the equation   , where t is the number of years past 1975. Find the year in which p first becomes negative. Round your answer to the nearest year. ​

Accepted Answer

A)  2576 
B)  2075 
C)  2005 
D)  4941 
E)  2074 
A)  2576 
B)  2075 
C)  2005 
D)  4941 
E)  2074

Question 7

A manufacturer sells watches for $75 per unit. The fixed costs related to this product are $10,000 per month, and the variable costs are $55 per unit. This gives a profit function   , where r is the revenue per unit and c is the variable cost per unit. If the manufacturer has a profit of zero, how many watches were sold? ​

Accepted Answer

A)  1,000 
B)  5,000 
C)  500 
D)  133 
E)  182 
A)  1,000 
B)  5,000 
C)  500 
D)  133 
E)  182

Question 8

A manufacturer sells watches for $60 per unit. The fixed costs related to this product are $10,000 per month, and the variable costs are $40 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 9

When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt) is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by   , then the following table defines the function. ​
 
​
Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston
Choose the correct verbal description of   .
​

Accepted Answer

A)  From the table,   the value of   is the yearly payment to repay a $100,000 loan in 12 years when the interest rate is 7%. 
B)  From the table,   the value of   is the monthly payment to repay half of a $100,000 loan in 12 years when the interest rate is 7%. 
C)  From the table,   the value of   is the weekly payment to repay a $100,000 loan in 12 years when the interest rate is 7%. 
D)  From the table,   the value of   is the monthly payment to repay a $100,000 loan in 12 years when the interest rate is 7%. 
E)  From the table,   the value of   is the monthly payment to repay a $100,000 loan in 12 years when the interest rate is 7%. 
A)  From the table,   the value of   is the yearly payment to repay a $100,000 loan in 12 years when the interest rate is 7%. 
B)  From the table,   the value of   is the monthly payment to repay half of a $100,000 loan in 12 years when the interest rate is 7%. 
C)  From the table,   the value of   is the weekly payment to repay a $100,000 loan in 12 years when the interest rate is 7%. 
D)  From the table,   the value of   is the monthly payment to repay a $100,000 loan in 12 years when the interest rate is 7%. 
E)  From the table,   the value of   is the monthly payment to repay a $100,000 loan in 12 years when the interest rate is 7%.

Question 10

Burnem, Inc. manufactures blank CDs and sells them to a distributor in packs of 500 CDs. Assume Burnem's total cost and total revenue (in dollars) for x packs of 500 CDs are given by ​
Total cost =   Total revenue =   ​
How many packs of 500 CDs must Burnem sell to break even?
​

Accepted Answer

A)  490 packs 
B)  432 packs 
C)  500 packs 
D)  387 packs 
E)  865 packs 
A)  490 packs 
B)  432 packs 
C)  500 packs 
D)  387 packs 
E)  865 packs

Question 11

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

Accepted Answer

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

Question 12

Solve   for   . ​

Accepted Answer

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

Question 13

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 14

Each day, a young person should sleep 8 hours, plus   hour for each year that the person is under 19 years of age. Assuming the relation is linear, write the equation relating hours of sleep y and age x where   . ​

Accepted Answer

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

Question 15

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

Accepted Answer

A) True 
 B)False

Question 16

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

Question 17

Solve the equation. ​   ​

Accepted Answer

A)  ​-3 
B)  36 
C)  -18 
D)  18 
E)  -6 
A)  ​-3 
B)  36 
C)  -18 
D)  18 
E)  -6

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) True 
 B)False

Question 19

A function and its graph are given. Find the domain. ​   ​   ​
​

Accepted Answer

A)  domain:   
B)  domain:   
C)  domain:   
D)  domain:   
E)  domain:   
A)  domain:   
B)  domain:   
C)  domain:   
D)  domain:   
E)  domain:

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

For and , find .

If the demand and supply functions for Z-brand phones are and respectively, compare the quantity demanded and the quantity supplied when p = 46. Note that q is the quantity produced or sold. Are there surplus phones or not enough to meet demand?

Solve the inequality.

Given a cost function and a revenue function , where x represents the number of units produced and sold, find the profit function and then determine the marginal profit.

The percent p of high school seniors who smoke cigarettes can be modeled by the equation , where t is the number of years past 1975. Find the year in which p first becomes negative. Round your answer to the nearest year.

A manufacturer sells watches for $60 per unit. The fixed costs related to this product are $10,000 per month, and the variable costs are $40 per unit. Which of the following is the equation for the profit function where x denotes the number of watches produced and sold?

Burnem, Inc. manufactures blank CDs and sells them to a distributor in packs of 500 CDs. Assume Burnem's total cost and total revenue (in dollars) for x packs of 500 CDs are given by Total cost = Total revenue = How many packs of 500 CDs must Burnem sell to break even?

Choose the graph that represents the equation below.

Solve for .

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?

Each day, a young person should sleep 8 hours, plus hour for each year that the person is under 19 years of age. Assuming the relation is linear, write the equation relating hours of sleep y and age x where .

Graph the equation with a graphing utility using the specified range. Is the graph below the graph of the given equation?

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

Solve the equation.

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?

A function and its graph are given. Find the domain.

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

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

For and , find . ​

If the demand and supply functions for Z-brand phones are and respectively, compare the quantity demanded and the quantity supplied when p = 46. Note that q is the quantity produced or sold. Are there surplus phones or not enough to meet demand? ​​

Solve the inequality. ​ ​

Given a cost function and a revenue function , where x represents the number of units produced and sold, find the profit function and then determine the marginal profit. ​

The percent p of high school seniors who smoke cigarettes can be modeled by the equation , where t is the number of years past 1975. Find the year in which p first becomes negative. Round your answer to the nearest year. ​

A manufacturer sells watches for $60 per unit. The fixed costs related to this product are $10,000 per month, and the variable costs are $40 per unit. Which of the following is the equation for the profit function where x denotes the number of watches produced and sold? ​

Burnem, Inc. manufactures blank CDs and sells them to a distributor in packs of 500 CDs. Assume Burnem's total cost and total revenue (in dollars) for x packs of 500 CDs are given by ​ Total cost = Total revenue = ​ How many packs of 500 CDs must Burnem sell to break even? ​

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

Solve for . ​

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? ​

Each day, a young person should sleep 8 hours, plus hour for each year that the person is under 19 years of age. Assuming the relation is linear, write the equation relating hours of sleep y and age x where . ​

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

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 ​ ​

Solve the equation. ​ ​

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? ​ ​ ​ ​ ​

A function and its graph are given. Find the domain. ​ ​ ​ ​

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

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

For and , find .

If the demand and supply functions for Z-brand phones are and respectively, compare the quantity demanded and the quantity supplied when p = 46. Note that q is the quantity produced or sold. Are there surplus phones or not enough to meet demand?

Solve the inequality.

Given a cost function and a revenue function , where x represents the number of units produced and sold, find the profit function and then determine the marginal profit.

The percent p of high school seniors who smoke cigarettes can be modeled by the equation , where t is the number of years past 1975. Find the year in which p first becomes negative. Round your answer to the nearest year.

A manufacturer sells watches for $60 per unit. The fixed costs related to this product are $10,000 per month, and the variable costs are $40 per unit. Which of the following is the equation for the profit function where x denotes the number of watches produced and sold?

Burnem, Inc. manufactures blank CDs and sells them to a distributor in packs of 500 CDs. Assume Burnem's total cost and total revenue (in dollars) for x packs of 500 CDs are given by Total cost = Total revenue = How many packs of 500 CDs must Burnem sell to break even?

Choose the graph that represents the equation below.

Solve for .

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?

Each day, a young person should sleep 8 hours, plus hour for each year that the person is under 19 years of age. Assuming the relation is linear, write the equation relating hours of sleep y and age x where .

Graph the equation with a graphing utility using the specified range. Is the graph below the graph of the given equation?

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

Solve the equation.

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?

A function and its graph are given. Find the domain.

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