Name:                         Date:  
1.  Dante is driving 638 miles to his cousin's house. His car has a 12-gallon tank and goes 22 miles for every gallon of gasoline. Dante started with a full tank of gasoline and will fill up the tank when it is empty. How many times will he have to stop for gasoline?
Show your work.

 

 
Answer ______________________ 

2.  There are 300 students in the eighth grade.  The ratio of girls to boys is 3 to 2.  What percent of the students are boys? 
(A)    
(B)    
(C)    
(D)    

3.  Mark made a skateboard ramp shaped like a triangle. It is 4.5 feet long and 3 feet high. He wants to make another ramp that is shaped like a triangle similar to the first ramp. The new ramp will be 4 feet high.

Write a proportion that Mark can use to find the length, x, of the new ramp.
 
What is the length, in feet, of the new ramp? 
Workspace 
Proportion _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
 
Show your work.

 

 
Answer _____________________ feet

4.  Tracy’s dog eats 8 ounces of dog food every day. How many pounds of dog food will her dog eat in 40 days?
Show your work.

 

 
 
Answer _____________________ pounds

5.  Gilda’s family goes on a vacation. They travel 125 miles in the first 2.5 hours. If Gilda’s family continues to travel at this rate, how many miles will they travel in 6 hours?
 
Workspace 
Show your work.

 

 

 
 
Answer___________________miles

6.  The graph below models the relationship between the time (x), in hours, Janet works and the amount of money (y), in dollars, she earns.

Which statement explains how Janet knows that the number of hours she works and the amount of money she earns are proportionally related? 
(A)   The graph is a straight line with a positive slope.

(B)   The graph is a straight line that passes through (0, 0).

(C)   The graph is a straight line that passes through (1, 12.5).

(D)   The graph is a straight line with no negative x or y values.

7.  Which graph shows a proportional relationship with a unit rate of ? 
(A)   

(B)   

(C)   

(D)   

8.  The graph below shows the relationship between the number of pages printed (x) at a print shop and the total price (y), in dollars.

Based on the graph, what is the unit price at the print shop? 
(A)   $0.10 per page

(B)   $0.20 per page

(C)   $0.25 per page

(D)   $0.50 per page

9.  The table below shows the relationship between the number of water bottles at a park that are thrown away and the number of water bottles at the park that are recycled for each of five months.

Which statement correctly describes the relationship between the number of water bottles that are thrown away and the number of water bottles that are recycled at the park each month? 
(A)   The relationship is proportional. For every 3 bottles that are thrown away each month, 10 bottles are recycled.

(B)   The relationship is proportional. For every 10 bottles that are thrown away each month, 3 bottles are recycled.

(C)   The relationship is not proportional. The number of water bottles that are thrown away increases more from month to month than the number of water bottles that are recycled.

(D)   The relationship is not proportional. The difference between the number of bottles that are thrown away and the number of bottles that are recycled is not the same for each month.

10.  A concert hall sells tickets in three different price ranges. For each price range, there are both adult and child rates.

Which statement describes the relationship between the adult ticket prices (a), in dollars, and the child ticket prices (c), in dollars? 
(A)   The relationship is proportional. It can be represented as . 
(B)   The relationship is proportional. It can be represented as c = 4a.

(C)   The relationship is not proportional. The change in a is not constant, and therefore the relationship cannot be expressed as one equation.

(D)   The relationship is not proportional. The change in c is not constant, and therefore the relationship cannot be expressed as one equation.

11.  When Rachel exceeds the number of minutes on her cell phone plan, she is charged an extra cost for each minute. The graph below shows the total cost (y), in dollars, for exceeding her cell phone plan’s minutes by x minutes.

What does the y-coordinate represent when the x-coordinate has a value of 1? 
(A)   Rachel pays $0.25 for each minute she exceeds her cell phone plan’s minutes.

(B)   Rachel pays $0.50 for each minute she exceeds her cell phone plan’s minutes.

(C)   Rachel pays $1.00 for each minute she exceeds her cell phone plan’s minutes.

(D)   Rachel pays $4.00 for each minute she exceeds her cell phone plan’s minutes.

12.  Jaya is painting her room. She mixes 2 pints of blue paint with 5 pints of red paint to get her desired color. Which equation can be used to find the number of pints of blue paint (x) Jaya should mix with 18 pints of red paint? 
(A)   

(B)   

(C)   

(D)   

13.  Joe has a picture that measures 8 centimeters by 12 centimeters. He creates four enlargements of the picture. The table below shows the width and the length of each enlargement.

What is the constant of proportionality between the width and the length of the pictures? 
(A)   0.5

(B)   1.2

(C)   1.5

(D)   2.5

Valery and Manuel ride their bikes 40 miles every Saturday. Valery rides at an average speed of 9.6 miles per hour (mph). 

14.  Exactly how many hours does it take Valery to ride her bike 40 miles? Show or explain all your work. 

15.  Manuel’s bike ride is represented by the graph shown below.

Valery increases her speed by 4% the next time she rides her bike so she can ride faster than Manuel.

Explain why the 4% increase is not enough for Valery to ride faster than Manuel. As part of your explanation, find how many fewer miles Valery rides than Manuel does when he finishes his 40-mile bike ride.