Question 1

Find the slope of the line passing through the points   and   .

Accepted Answer

A)  63 
B)    21 
C)  42 
D)  21 
E)    42 
A)  63 
B)    21 
C)  42 
D)  21 
E)    42 C

Question 2

A company reimburses its sales representatives   per day for lodging and meals plus   ¢ per mile driven. Write a linear equation giving the daily cost   to the company in terms of   , the number of miles driven. Round the numerical values in your answer to two decimal places, where applicable.

Accepted Answer

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

Question 3

Find an equation of the line that passes through the points   and   .

Accepted Answer

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

Question 4

Estimate the slope of the line from the graph.

Accepted Answer

A)    
B)  5 
C)  2 
D)    
E)    
A)    
B)  5 
C)  2 
D)    
E)

Question 5

Find an equation of the line through the points of intersection of   and   .

Accepted Answer

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

Question 6

Suppose that the dollar value of a product in   is   and the rate at which the value of the product is expected to increase per year during the next   years is   . Write a linear equation that gives the dollar value   of the product in terms of the year   . (Let   represent   .) Round the numerical values in your answer to one decimal place, where applicable.

Accepted Answer

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

Question 7

A real estate office handles an apartment complex with   units. When the rent is   per month, all   units are occupied. However, when the rent is $   , the average number of occupied units drops to   . Assume that the relationship between the monthly rent   and the demand   is linear. Predict the number of units occupied if the rent is raised to   .

Accepted Answer

A)  43 units 
B)  54 units 
C)  57 units 
D)  49 units 
E)  46 units 
A)  43 units 
B)  54 units 
C)  57 units 
D)  49 units 
E)  46 units

Question 8

A real estate office handles an apartment complex with   units. When the rent is   per month, all   units are occupied. However, when the rent is   , the average number of occupied units drops to   . Assume that the relationship between the monthly rent   and the demand   is linear. Write a linear equation giving the demand   in terms of the rent   .

Accepted Answer

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

Question 9

Find an equation of the line that passes through the point   and has the slope m that is undefined.

Accepted Answer

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

Question 10

Use the result, "the line with intercepts   has the equation   ,   ,   ", to write an equation of the line with x-intercept:   and y-intercept:   .

Accepted Answer

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

Question 11

A company reimburses its sales representatives   per day for lodging and meals plus   ¢ per mile driven. How much does it cost the company if a sales representative drives   miles on a given day? Round your answer to the nearest cent.

Accepted Answer

A)  227.20 
B)  216.70 
C)  136.35 
D)  161.35 
E)  191.70 
A)  227.20 
B)  216.70 
C)  136.35 
D)  161.35 
E)  191.70

Question 12

Write an equation of the line that passes through the given point and is parallel to the given line.

Accepted Answer

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

Question 13

Sketch a graph of the equation   .

Accepted Answer

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

Question 14

A moving conveyor is built to rise 1 meter for every 5 meters of horizontal change. Suppose the conveyor runs between two floors in a factory. Find the length of the conveyor if the vertical distance between floors is 10 meters. Round your answer to the nearest meter.

Accepted Answer

A)  61 meters 
B)  39 meters 
C)  51 meters 
D)  50 meters 
E)  41 meters 
A)  61 meters 
B)  39 meters 
C)  51 meters 
D)  50 meters 
E)  41 meters

Question 15

Find an equation of the line that passes through the point   and has the slope   .

Accepted Answer

A)    -   
B)    +   
C)    + 162 
D)    
E)    
A)    -   
B)    +   
C)    + 162 
D)    
E)

Question 16

Find the distance between the point   and line   using the formula,   for the distance between the point   and the line   .

Accepted Answer

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

Question 17

Write an equation of the line that passes through the point   and is perpendicular to the line   .

Accepted Answer

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

Question 18

Write an equation of the line that passes through the point   and is parallel to the line   .

Accepted Answer

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

Question 19

Find the slope of the line   .

Accepted Answer

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

Question 20

Find the y-intercept of the line   .

Accepted Answer

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

Exam 1: Section 2: Preparation for Calculus

Find the slope of the line passing through the points and .

A company reimburses its sales representatives per day for lodging and meals plus ¢ per mile driven. Write a linear equation giving the daily cost to the company in terms of , the number of miles driven. Round the numerical values in your answer to two decimal places, where applicable.

Find an equation of the line that passes through the points and .

Estimate the slope of the line from the graph.

Find an equation of the line through the points of intersection of and .

Find an equation of the line that passes through the point and has the slope m that is undefined.

Use the result, "the line with intercepts has the equation , , ", to write an equation of the line with x-intercept: and y-intercept: .

A company reimburses its sales representatives per day for lodging and meals plus ¢ per mile driven. How much does it cost the company if a sales representative drives miles on a given day? Round your answer to the nearest cent.

Write an equation of the line that passes through the given point and is parallel to the given line.

Sketch a graph of the equation .

A moving conveyor is built to rise 1 meter for every 5 meters of horizontal change. Suppose the conveyor runs between two floors in a factory. Find the length of the conveyor if the vertical distance between floors is 10 meters. Round your answer to the nearest meter.

Find an equation of the line that passes through the point and has the slope .

Find the distance between the point and line using the formula, for the distance between the point and the line .

Write an equation of the line that passes through the point and is perpendicular to the line .

Write an equation of the line that passes through the point and is parallel to the line .

Find the slope of the line .

Find the y-intercept of the line .

Section 1: Preparation for Calculus

Section 3: Preparation for Calculus

Section 4: Preparation for Calculus

Section 5: Preparation for Calculus

Section 6: Preparation for Calculus

Section 1: Limits and Their Properties

Section 2: Limits and Their Properties

Section 3: Limits and Their Properties

Section 4: Limits and Their Properties

Section 5 : Limits and Their Properties

Section 1 : Differentiation

Section 2: Differentiation

Section 3: Differentiation

Section 4 : Differentiation

Section 5: Differentiation

Section 6: Differentiation

Section 7: Differentiation

Section 8: Differentiation

Section 1 : Applications of Differentiation

Section 2: Applications of Differentiation

Section 3: Applications of Differentiation

Section 4: Applications of Differentiation

Section 5: Applications of Differentiation

Section 6: Applications of Differentiation

Section 7: Applications of Differentiation

Section 8: Applications of Differentiation

Section 1: Integration

Section 2: Integration

Section 3: Integration

Section 4: Integration

Section 5: Integration

Section 6: Integration

Section 7: Integration

Section 8: Integration

Section 9: Integration

Section 1: Differential Equations

Section 2: Differential Equations

Section 3: Differential Equations

Section 4: Differential Equations

Section 5: Differential Equations

Section 1: Applications of Integration

Section 2: Applications of Integration

Section 3: Applications of Integration

Section 4: Applications of Integration

Section 5: Applications of Integration

Section 6: Applications of Integration

Section 7: Applications of Integration

Section 1: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 2: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 3: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 4: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 5: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 6: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 7: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 8: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 1: Infinite Series

Section 2: Infinite Series

Section 3: Infinite Series

Section 4: Infinite Series

Section 5: Infinite Series

Section 6: Infinite Series

Section 7: Infinite Series