Question 1

Use a calculator to solve the equation. Round your answer to three decimal places. ​   ​

Accepted Answer

A)  x = 1.639 
B)  x = 0.61 
C)  x = -0.779 
D)  x = -1.284 
E)  x = -1.397 
A)  x = 1.639 
B)  x = 0.61 
C)  x = -0.779 
D)  x = -1.284 
E)  x = -1.397

Question 2

Let   . Is   ?
​

Accepted Answer

A) True 
 B)False

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)  ​$-148,000 
B)  $-53,000 
C)  $-37,000 
D)  $53,000 
E)  $323,000 
A)  ​$-148,000 
B)  $-53,000 
C)  $-37,000 
D)  $53,000 
E)  $323,000

Question 4

A company handles an apartment building with 50 units. Experience has shown that if the rent for each of the units is $380 per month, then all of the units will be filled; however, one unit will become vacant for each $30 increase in the monthly rate. If x represents the number of $30 increases, express the revenue R from the building as a function of x. ​

Accepted Answer

A)  ​R(x) = 380+30x 
B)  R(x) = (380+30x)(50-x) 
C)  R(x) = 50(380+30x) 
D)  R(x) = 30(380-30x)(50-x) 
E)  R(x) = 50(380-30x) 
A)  ​R(x) = 380+30x 
B)  R(x) = (380+30x)(50-x) 
C)  R(x) = 50(380+30x) 
D)  R(x) = 30(380-30x)(50-x) 
E)  R(x) = 50(380-30x)

Question 5

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

Accepted Answer

A) True 
 B)False

Question 6

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 7

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

Accepted Answer

A)  (5,22) 
B)  (-7,5) 
C)  (10,5) 
D)  (-7,55) 
E)  (-1,5) 
A)  (5,22) 
B)  (-7,5) 
C)  (10,5) 
D)  (-7,55) 
E)  (-1,5)

Question 8

How many gallons of washer fluid that is 13.5% antifreeze must a manufacturer add to 500 gallons of washer fluid that is 11% antifreeze to yield washer fluid that is 13% antifreeze? ​

Accepted Answer

A)  1,000 
B)  1,740 
C)  1,730 
D)  2,000 
E)  1,790 
A)  1,000 
B)  1,740 
C)  1,730 
D)  2,000 
E)  1,790

Question 9

Solve the equation. ​   ​

Accepted Answer

A)  ​   
B)    
C)  8 
D)  0 
E)  2 
A)  ​   
B)    
C)  8 
D)  0 
E)  2

Question 10

Write the equation of the line passing through the given pair of points. ​
​(-6,5) and (-4,9)
​

Accepted Answer

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

Question 11

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

Accepted Answer

A) True 
 B)False

Question 12

Suppose a computer manufacturer has the total cost function   and the total revenue function   , where x represents the number of computers produced and sold. What is the profit on 341 items? ​

Accepted Answer

A)  $86,300 
B)  $106,000 
C)  $98,600 
D)  $1,364,000 
E)  $160,560 
A)  $86,300 
B)  $106,000 
C)  $98,600 
D)  $1,364,000 
E)  $160,560

Question 13

For   and   , find   . ​

Accepted Answer

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

Question 14

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 15

Solve the inequality. ​   ​

Accepted Answer

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

Question 16

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

Accepted Answer

A)  ( -2, -9) 
B)  ( -3, 9) 
C)  ( -9, -3) 
D)  ( -3, -2) 
E)  There is no solution. 
A)  ( -2, -9) 
B)  ( -3, 9) 
C)  ( -9, -3) 
D)  ( -3, -2) 
E)  There is no solution.

Question 17

Solve the equation. ​   ​

Accepted Answer

A)  9 
B)  4 
C)  5 
D)  1 
E)  0 
A)  9 
B)  4 
C)  5 
D)  1 
E)  0

Question 18

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

Accepted Answer

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

Question 19

Solve the inequality. ​   ​

Accepted Answer

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

Question 20

Suppose the cost of a business property is $480,000, and a company wants to use a straight-line depreciation schedule for a period of 240 months. If y is the value of this property after x months, then the company's depreciation schedule will be the equation of a line through (0,480000) and (240,0). Write the equation of this depreciation schedule. ​

Accepted Answer

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

Use a calculator to solve the equation. Round your answer to three decimal places.

Let . Is ?

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).

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

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

Solve the system by elimination, or by any convenient method.

How many gallons of washer fluid that is 13.5% antifreeze must a manufacturer add to 500 gallons of washer fluid that is 11% antifreeze to yield washer fluid that is 13% antifreeze?

Solve the equation.

Write the equation of the line passing through the given pair of points. (-6,5) and (-4,9)

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

Suppose a computer manufacturer has the total cost function and the total revenue function , where x represents the number of computers produced and sold. What is the profit on 341 items?

For and , find .

Solve the inequality.

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

Solve the equation.

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

Solve the inequality.

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

Use a calculator to solve the equation. Round your answer to three decimal places. ​ ​

Let . Is ? ​

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). ​

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

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

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

How many gallons of washer fluid that is 13.5% antifreeze must a manufacturer add to 500 gallons of washer fluid that is 11% antifreeze to yield washer fluid that is 13% antifreeze? ​

Solve the equation. ​ ​

Write the equation of the line passing through the given pair of points. ​ ​(-6,5) and (-4,9) ​

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

Suppose a computer manufacturer has the total cost function and the total revenue function , where x represents the number of computers produced and sold. What is the profit on 341 items? ​

For and , find . ​

Solve the inequality. ​ ​

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

Solve the equation. ​ ​

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

Solve the inequality. ​ ​

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

Use a calculator to solve the equation. Round your answer to three decimal places.

Let . Is ?

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).

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

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

Solve the system by elimination, or by any convenient method.

How many gallons of washer fluid that is 13.5% antifreeze must a manufacturer add to 500 gallons of washer fluid that is 11% antifreeze to yield washer fluid that is 13% antifreeze?

Solve the equation.

Write the equation of the line passing through the given pair of points. (-6,5) and (-4,9)

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

Suppose a computer manufacturer has the total cost function and the total revenue function , where x represents the number of computers produced and sold. What is the profit on 341 items?

For and , find .

Solve the inequality.

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

Solve the equation.

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

Solve the inequality.