Question 1

Given   , write   in simplest form.

Accepted Answer

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

Question 2

Find the equation of line that contains the point whose coordinates are (-7, -10) and whose slope is undefined.

Accepted Answer

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

Question 3

The graph below shows the relationship between the distance traveled by a motorist and the time of travel. Find the slope of the line between the two points shown on the graph, namely (1, 80) and (3, 240). Write a sentence that states the meaning of the slope.

Accepted Answer

A)  m = 80; The distance traveled by the motorist in 2 hours is 80 miles. 
B)  m = 240; The average speed of the motorist is 240 mph. 
C)  m = 80; The average speed of the motorist is 80 mph. 
D)  m = 160; The average speed of the motorist is 160 mph. 
E)  m = 60; The average speed of the motorist is 60 mph. 
A)  m = 80; The distance traveled by the motorist in 2 hours is 80 miles. 
B)  m = 240; The average speed of the motorist is 240 mph. 
C)  m = 80; The average speed of the motorist is 80 mph. 
D)  m = 160; The average speed of the motorist is 160 mph. 
E)  m = 60; The average speed of the motorist is 60 mph. C

Question 4

Graph:

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Question 5

A cellular phone company offers several different service plans. One option, for people who plan on using the phone only in emergencies, costs the user $5.15 per month plus $0.60 per minute for each minute the phone is used. 
A. Write a linear function for the monthly cost of the phone in terms of the number of minutes the phone is used.
B. Use your equation to find the cost of using the cellular phone for 14 minutes in 1 month.

Accepted Answer

A)  (a)   ; (b) $8.40 
B)  (a)   ; (b) $19.15 
C)  (a)   ; (b) $13.55 
D)  (a)   ; (b) $5.15 
E)  (a)   ; (b) $72.70 
A)  (a)   ; (b) $8.40 
B)  (a)   ; (b) $19.15 
C)  (a)   ; (b) $13.55 
D)  (a)   ; (b) $5.15 
E)  (a)   ; (b) $72.70

Question 6

The graph below shows how the amount of fuel in the tank of a car decreases as the car is driven. Find the slope of the line between the two points shown on the graph, namely (50, 15) and (150, 9). Write a sentence that states the meaning of the slope.

Accepted Answer

A)  m = -0.06; For each 100 miles the car is driven, approximately 0.06 gal of fuel is used. 
B)  m = -0.06; For each mile the car is driven, approximately 0.06 gal of fuel is used. 
C)  m = -0.06; The car averages approximately 60 miles per gallon. 
D)  m = 0.06; For each mile the car is driven, approximately 0.06 gal of fuel is used. 
E)  m = -0.6; For each mile the car is driven, approximately 0.6 gal of fuel is used. 
A)  m = -0.06; For each 100 miles the car is driven, approximately 0.06 gal of fuel is used. 
B)  m = -0.06; For each mile the car is driven, approximately 0.06 gal of fuel is used. 
C)  m = -0.06; The car averages approximately 60 miles per gallon. 
D)  m = 0.06; For each mile the car is driven, approximately 0.06 gal of fuel is used. 
E)  m = -0.6; For each mile the car is driven, approximately 0.6 gal of fuel is used.

Question 7

What values are excluded from the domain of the function   ?

Accepted Answer

A)  9 
B)  None 
C)  3 
D)  4.5 
E)  0 
A)  9 
B)  None 
C)  3 
D)  4.5 
E)  0

Question 8

What values are excluded from the domain of the function   ?

Accepted Answer

A)  5 
B)  0 
C)    
D)    
E)  None 
A)  5 
B)  0 
C)    
D)    
E)  None

Question 9

Is (-2, -10) a solution of   ?

Accepted Answer

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

Question 10

The scatter diagram below pairs numbers of children with the number of households in a certain neighborhood who have that number of children. If the next household that moves in has 2 children, how will that change the scatter diagram? Will the graph have the same number of points or one additional point?

Accepted Answer

A)  The point at x = 2 will move to   
B)  The point at x = 8 will move to   
C)  The graph will have a new point at   
D)  The graph will have a new point at   
E)  The point at x = 2 will move to   
A)  The point at x = 2 will move to   
B)  The point at x = 8 will move to   
C)  The graph will have a new point at   
D)  The graph will have a new point at   
E)  The point at x = 2 will move to

Question 11

Name the abscissa of the point below.

Accepted Answer

A)  1 
B)  -1 
C)  2 
D)  -2 
E)  0 
A)  1 
B)  -1 
C)  2 
D)  -2 
E)  0

Question 12

Graph by using the slope and y-intercept:

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Question 13

A manufacturer of graphing calculators has determined that 12,000 calculators per week will be sold at a price of $110 each. At a price of $90, it is estimated that 15,000 calculators would be sold.

A. Determine a linear function that will predict the number of calculators that would be sold at a given price, x.
B. Use this model to predict the number of calculators that would be sold each week at a price of $75.

Accepted Answer

A)  (a)   ; (b) 13,500 calculators 
B)  (a)   ; (b) 6750 calculators 
C)  (a)   ; (b) 751 calculators 
D)  (a)   ; (b) 17,250 calculators 
E)  (a)   ; (b) 17,250 calculators 
A)  (a)   ; (b) 13,500 calculators 
B)  (a)   ; (b) 6750 calculators 
C)  (a)   ; (b) 751 calculators 
D)  (a)   ; (b) 17,250 calculators 
E)  (a)   ; (b) 17,250 calculators

Question 14

Graph the ordered pairs below.   and

Accepted Answer

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

Question 15

Sherlock Holmes solved a crime by recognizing a relationship between the length, in inches, of a person's stride and the height of that person in inches. The data for six people are recorded in the table below. Graph the scatter diagram of these data.

Accepted Answer

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

Question 16

Does the diagram below represent a function?

Accepted Answer

A)  Insufficient information 
B)  Yes 
C)  No 
A)  Insufficient information 
B)  Yes 
C)  No

Question 17

Are the lines   and   parallel?

Accepted Answer

A)  Insufficient information 
B)  No 
C)  Yes 
A)  Insufficient information 
B)  No 
C)  Yes

Question 18

Find the equation of the line containing the point (-3, 2) and perpendicular to the line   .

Accepted Answer

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

Question 19

Graph the solution set of the inequality given.

Accepted Answer

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

Question 20

Graph:

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Given , write in simplest form.

Find the equation of line that contains the point whose coordinates are (-7, -10) and whose slope is undefined.

The graph below shows the relationship between the distance traveled by a motorist and the time of travel. Find the slope of the line between the two points shown on the graph, namely (1, 80) and (3, 240). Write a sentence that states the meaning of the slope.

Graph:

The graph below shows how the amount of fuel in the tank of a car decreases as the car is driven. Find the slope of the line between the two points shown on the graph, namely (50, 15) and (150, 9). Write a sentence that states the meaning of the slope.

What values are excluded from the domain of the function ?

What values are excluded from the domain of the function ?

Is (-2, -10) a solution of ?

Name the abscissa of the point below.

Graph by using the slope and y-intercept:

Graph the ordered pairs below. and

Sherlock Holmes solved a crime by recognizing a relationship between the length, in inches, of a person's stride and the height of that person in inches. The data for six people are recorded in the table below. Graph the scatter diagram of these data.

Does the diagram below represent a function?

Are the lines and parallel?

Find the equation of the line containing the point (-3, 2) and perpendicular to the line .

Graph the solution set of the inequality given.

Graph:

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Exam 4: Linear Functions and Inequalities in Two Variables

Given , write in simplest form.

Find the equation of line that contains the point whose coordinates are (-7, -10) and whose slope is undefined.

The graph below shows the relationship between the distance traveled by a motorist and the time of travel. Find the slope of the line between the two points shown on the graph, namely (1, 80) and (3, 240). Write a sentence that states the meaning of the slope.

Graph:

The graph below shows how the amount of fuel in the tank of a car decreases as the car is driven. Find the slope of the line between the two points shown on the graph, namely (50, 15) and (150, 9). Write a sentence that states the meaning of the slope.

What values are excluded from the domain of the function ?

What values are excluded from the domain of the function ?

Is (-2, -10) a solution of ?

Name the abscissa of the point below.

Graph by using the slope and y-intercept:

Graph the ordered pairs below. and

Sherlock Holmes solved a crime by recognizing a relationship between the length, in inches, of a person's stride and the height of that person in inches. The data for six people are recorded in the table below. Graph the scatter diagram of these data.

Does the diagram below represent a function?

Are the lines and parallel?

Find the equation of the line containing the point (-3, 2) and perpendicular to the line .

Graph the solution set of the inequality given.

Graph:

Real Numbers and Variable Expressions

First-Degree Equations and Inequalities

Geometry

Systems of Linear Equations and Inequalities

Polynomials

Factoring

Rational Expressions

Exponents and Radicals

Quadratic Equations

Functions and Relations

Exponential and Logarithmic Functions

Filters