Mathematics 8
Items to Support Formative Assessment
Unit 3: Analyzing Functions and Equations
8.EE.B.5 Graph proportional relationships, interpreting the unit rate as the slope of the
graph. Compare two different proportional relationships represented in different ways.
8.EE.B.5 Item
The eastern box turtle is found mainly in the eastern United States, as is implied by its name.
These turtles have been found to move slowly. Here are there speeds.
Turtle 1:
Turtle 2:
Turtle 3:
Travels at a rate of
45 inches in 18
minutes.
Travels at a rate of 4
inches in 1 minute
Distance
(inches)
5
10
15
Minutes
15
30
45
Use the information above to rank the turtles in order from slowest to fastest turtle. Explain your
reasoning.
Solution: Turtle 1, Turtle 3, Turtle 2
8.EE.B.5 Item
The table below shows the amount of money Melissa earns while working at Frozen Yogurt
Village.
# of hours
1.5 hours 4.5 hours 6 hours 8.5 hours
Money Earned $11.40
$34.20
$45.60 $64.60
a. What is Melissa’s hourly rate?
b. How much will Melissa make if she works 15 hours?
c. Write an equation where y equals the amount of money Melissa will make if she works x
number of hours.
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under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.
Solution:
a. $7.60 per hour
b. $114.00 for 15 hours
c. y = 7.60x
8.EE.B.5 Item
Match each graph (number) to its slope (letters).
A. m = -1
B. m = 0
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under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.
C. m =
1
3
D. m = undefined
Solution:
Graph 1 is D, Graph 2 is A, Graph 3 is C, Graph 4 is B
8.EE.B.5 Item
The graphs below show the distance two amateur cyclists have traveled along a bike route
in a cycling race. Cyclist A is traveling at rate of 20 miles per hour.
Distance in miles
y
Cyclist A
Cyclist B
Time in hours
x
Which equation from those shown below is the best choice for describing the distance
traveled by Cyclist B after x hours?
A.
B.
C.
D.
y = 30x
y = 25x
y =15x
y = 5x
Solution: The best choice is C.
Howard County Public Schools Office of Secondary Mathematics Curricular Projects has licensed this product
under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.
8.EE.B.5 Item
Compare the scenarios to determine which represents a greater speed. Include a description of
each scenario including the unit rates in your explanation.
Scenario # 1:
Scenario # 2:
Distance (feet)
y =15x
(8,52)
y = distance (in feet)
x = time (in seconds)
(4,26)
Time (seconds)
Possible Solution:
Scenario #2 represents a greater speed at a rate of 15 feet per 1 second. This
scenario could represent the speed of a motorboat. Scenario #1 represents a
speed rate of 6.5 feet per 1 second; this scenario could represent the speed of a
motorized remote car.
8.EE.B.5 Item
Apples cost $1.50 per pound at the farmer’s market. Use this information to complete the
table, write the equation, and graph the line.
amount
in
pounds
(x)
3
cost
in dollars
(y)
Equation: __________________
7.5
15
12
Howard County Public Schools Office of Secondary Mathematics Curricular Projects has licensed this product
under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.
Solutions:
amount
cost
in
in dollars
pounds
(y)
(x)
3
4.5
5
7.5
10
Equation: y=1.5x
15
12
18
Howard County Public Schools Office of Secondary Mathematics Curricular Projects has licensed this product
under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.