Question 1

Find the point at which the graphs of the two linear equations intersect.

Accepted Answer

A)  (0, 0) 
B)  ( 5,   ) 
C)  (   ,   ) 
D)  (   ,   ) 
E)  (   ,   ) 
A)  (0, 0) 
B)  ( 5,   ) 
C)  (   ,   ) 
D)  (   ,   ) 
E)  (   ,   ) E

Question 2

Using the following graph, find the slope of the line.

Accepted Answer

A)  -0.2 
B)  0.2 
C)  5 
D)  3 
E)  -5 
A)  -0.2 
B)  0.2 
C)  5 
D)  3 
E)  -5 B

Question 3

The owner of a gas station records the number of gallons of gas he sells over a period of time. He notices that the number of gallons of gas he sells depends linearly on the price he charges for each gallon. When he charges $1.71 per gallon of gas, he sells 800 gallons of gas each day. When he charges $2.41 per gallon, he sells 400 gallons. What does the slope of the line convey about the situation?

Accepted Answer

A)  None of the above 
B)  The price of each gallon when 800 gallons are sold. 
C)  The number of gallons sold decreases by 571 for each one dollar increase in price. 
D)  The price of each gallon per number of gallons sold. 
E)  The number of gallons sold at $1.71 per gallon. 
A)  None of the above 
B)  The price of each gallon when 800 gallons are sold. 
C)  The number of gallons sold decreases by 571 for each one dollar increase in price. 
D)  The price of each gallon per number of gallons sold. 
E)  The number of gallons sold at $1.71 per gallon. C

Question 4

The graph of the line   and the graph of the line   have the same slope and thus are parallel lines.

Accepted Answer

A) True 
 B)False

Question 5

For the linear equation   , find the slope of the line.

Accepted Answer

A)    
B)  8 
C)  -8 
D)    
E)  24 
A)    
B)  8 
C)  -8 
D)    
E)  24

Question 6

Find an equation for the line that is perpendicular to   and passes through   .

Accepted Answer

A)  y =     x 
B)  y =     x 
C)  y =     x 
D)  y = 2   x 
E)  y = -2 +2 x 
A)  y =     x 
B)  y =     x 
C)  y =     x 
D)  y = 2   x 
E)  y = -2 +2 x

Question 7

Find the equation of a line with slope = -8 and y -intercept of 2.

Accepted Answer

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

Question 8

An economist models the market for rice by the following equations.   Let p represent the price per bushel (in dollars) and y represent the number of bushels produced and sold (in millions). Use the model for supply to determine at what point is the price so low that no rice is produced.

Accepted Answer

A)  When the price of rice is $141.85 per bushel. 
B)  When the price of rice is $70.93 per bushel. 
C)  When the price of rice is $5.46 per bushel. 
D)  When the price of rice is $12.99 per bushel. 
E)  When the price of rice is $2.38 per bushel. 
A)  When the price of rice is $141.85 per bushel. 
B)  When the price of rice is $70.93 per bushel. 
C)  When the price of rice is $5.46 per bushel. 
D)  When the price of rice is $12.99 per bushel. 
E)  When the price of rice is $2.38 per bushel.

Question 9

The cost of college tuition for 12 credit hours at two local colleges during 2003 to 2008 is shown in the table below. Determine the model for the cost of Tuition in School B as a function of the number of years since 2003.

Accepted Answer

A)  B(t) = 31 + 291 t 
B)    
C)  B(t) = 291 + 31 t 
D)  B(t) = 31 t 
E)    
A)  B(t) = 31 + 291 t 
B)    
C)  B(t) = 291 + 31 t 
D)  B(t) = 31 t 
E)

Question 10

A hotel finds that if it spends no money on renovations, they will be able to rent 145 rooms per night. However, they have found that for every $3500 spent on renovations, they will be able to rent an additional 25 rooms per night. Let x represent the amount of money spent on renovations and y represent the number of rooms rented. How much money will need to be spent on renovations in order to rent 400 rooms per night?

Accepted Answer

A)  $87,500 
B)  $1,400,000 
C)  $76,300 
D)  $35,700 
E)  $56,000 
A)  $87,500 
B)  $1,400,000 
C)  $76,300 
D)  $35,700 
E)  $56,000

Question 11

A printing company determines that to print a large format poster, it costs $75 to set up the production process. Each poster that is printed costs $22 in material and labor. The printing company sells these posters to marketing firms for $60 each. Find a linear function P that models the profit   from selling x posters. Note: profit = revenue - cost

Accepted Answer

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

Question 12

m is directly proportional to n . If   is the constant of proportionality, then find n when   . (Rounded to the nearest hundredth)

Accepted Answer

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

Question 13

Find an equation for the line passing through the point   that is parallel to the line passing through   and   .

Accepted Answer

A)  y = 9   x 
B)  y = 9   x 
C)  y =     x 
D)  y =     x 
E)  y =     x 
A)  y = 9   x 
B)  y = 9   x 
C)  y =     x 
D)  y =     x 
E)  y =     x

Question 14

A water tank is being drained at the rate of 19 gal/min. The tank started with 16850 gallons of water. Which of the following linear functions model the number of gallons of water in the tank at any time t .

Accepted Answer

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

Question 15

An economist models the market for rice by the following equations.   Let p represent the price per bushel (in dollars) and y represent the number of bushels produced and sold (in millions). Use the model for demand to determine at what point is the price so high that no rice is sold.

Accepted Answer

A)  When the price of rice is $8.42 per bushel. 
B)  When the price of rice is $0.32 per bushel. 
C)  When the price of rice is $221.58 per bushel. 
D)  When the price of rice is $0.04 per bushel. 
E)  When the price of rice is $5.32 per bushel. 
A)  When the price of rice is $8.42 per bushel. 
B)  When the price of rice is $0.32 per bushel. 
C)  When the price of rice is $221.58 per bushel. 
D)  When the price of rice is $0.04 per bushel. 
E)  When the price of rice is $5.32 per bushel.

Question 16

The graph below shows distance as a function of time (measured in seconds) for an Olympic swimmer racing in the 100-meter butterfly. Determine the best answer for the average speed of the swimmer for the 100-meter butterfly. (Rounded to the nearest hundredth)

Accepted Answer

A)  1.39 meters/sec 
B)  70 meters/sec 
C)  1 meters/sec 
D)  0.72 meters/sec 
E)  100 meters/sec 
A)  1.39 meters/sec 
B)  70 meters/sec 
C)  1 meters/sec 
D)  0.72 meters/sec 
E)  100 meters/sec

Question 17

A quantity Q is related to quantity R by the equation   . Find the value of Q when   .

Accepted Answer

A)  10 
B)    
C)    
D)    
E)    
A)  10 
B)    
C)    
D)    
E)

Question 18

If the slope of a line is m =   , then the change in the run is 20.

Accepted Answer

A) True 
 B)False

Question 19

Find an equation for the line that is parallel to   and passes through   .

Accepted Answer

A)  y = 26   3 x 
B)  y = 22 + 3 x 
C)  y = 7     x 
D)  y =       x 
E)  y = 7 + 3 x 
A)  y = 26   3 x 
B)  y = 22 + 3 x 
C)  y = 7     x 
D)  y =       x 
E)  y = 7 + 3 x

Question 20

A beanstalk grows at a constant rate. The beanstalk s height (inches) as a function of time (days) is modeled by   . Which of the following graphs illustrate the function h ?

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these options 
A)    
B)    
C)    
D)    
E)  None of these options

Find the point at which the graphs of the two linear equations intersect.

Using the following graph, find the slope of the line.

The graph of the line and the graph of the line have the same slope and thus are parallel lines.

For the linear equation , find the slope of the line.

Find an equation for the line that is perpendicular to and passes through .

Find the equation of a line with slope = -8 and y -intercept of 2.

An economist models the market for rice by the following equations. Let p represent the price per bushel (in dollars) and y represent the number of bushels produced and sold (in millions). Use the model for supply to determine at what point is the price so low that no rice is produced.

The cost of college tuition for 12 credit hours at two local colleges during 2003 to 2008 is shown in the table below. Determine the model for the cost of Tuition in School B as a function of the number of years since 2003.

m is directly proportional to n . If is the constant of proportionality, then find n when . (Rounded to the nearest hundredth)

Find an equation for the line passing through the point that is parallel to the line passing through and .

A water tank is being drained at the rate of 19 gal/min. The tank started with 16850 gallons of water. Which of the following linear functions model the number of gallons of water in the tank at any time t .

An economist models the market for rice by the following equations. Let p represent the price per bushel (in dollars) and y represent the number of bushels produced and sold (in millions). Use the model for demand to determine at what point is the price so high that no rice is sold.

The graph below shows distance as a function of time (measured in seconds) for an Olympic swimmer racing in the 100-meter butterfly. Determine the best answer for the average speed of the swimmer for the 100-meter butterfly. (Rounded to the nearest hundredth)

A quantity Q is related to quantity R by the equation . Find the value of Q when .

If the slope of a line is m = , then the change in the run is 20.

Find an equation for the line that is parallel to and passes through .

A beanstalk grows at a constant rate. The beanstalk s height (inches) as a function of time (days) is modeled by . Which of the following graphs illustrate the function h ?

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Exam 2: Linear Functions and Models

Find the point at which the graphs of the two linear equations intersect.

Using the following graph, find the slope of the line.

The graph of the line and the graph of the line have the same slope and thus are parallel lines.

For the linear equation , find the slope of the line.

Find an equation for the line that is perpendicular to and passes through .

Find the equation of a line with slope = -8 and y -intercept of 2.

An economist models the market for rice by the following equations. Let p represent the price per bushel (in dollars) and y represent the number of bushels produced and sold (in millions). Use the model for supply to determine at what point is the price so low that no rice is produced.

The cost of college tuition for 12 credit hours at two local colleges during 2003 to 2008 is shown in the table below. Determine the model for the cost of Tuition in School B as a function of the number of years since 2003.

m is directly proportional to n . If is the constant of proportionality, then find n when . (Rounded to the nearest hundredth)

Find an equation for the line passing through the point that is parallel to the line passing through and .

A water tank is being drained at the rate of 19 gal/min. The tank started with 16850 gallons of water. Which of the following linear functions model the number of gallons of water in the tank at any time t .

An economist models the market for rice by the following equations. Let p represent the price per bushel (in dollars) and y represent the number of bushels produced and sold (in millions). Use the model for demand to determine at what point is the price so high that no rice is sold.

The graph below shows distance as a function of time (measured in seconds) for an Olympic swimmer racing in the 100-meter butterfly. Determine the best answer for the average speed of the swimmer for the 100-meter butterfly. (Rounded to the nearest hundredth)

A quantity Q is related to quantity R by the equation . Find the value of Q when .

If the slope of a line is m = , then the change in the run is 20.

Find an equation for the line that is parallel to and passes through .

A beanstalk grows at a constant rate. The beanstalk s height (inches) as a function of time (days) is modeled by . Which of the following graphs illustrate the function h ?

Data, Functions, and Models

Exponential Functions and Models

Logarithmic Functions and Exponential Modela

Quadratic Functions and Models

Power, Polynomial, and Rational Functions

Systems of Equations and Data in Categories

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