Math Grade 8 Quiz Graphing Proportional Relationships – 8.EE.B.5
Proportional relationships describe how two quantities change in relation to one another. When graphed, these relationships form straight lines that pass through the origin, and the slope (or steepness) of the line represents the unit rate of the relationship. Understanding how to interpret and compare these slopes is crucial for making sense of realworld situations, such as determining speeds from distancetime graphs.
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Question 1 of 10
1. Question
If a graph represents the relationship between hours worked and money earned, and the line passes through points (2, $10) and (4, $20), what is the unit rate (or the amount of money earned per hour)?
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Question 2 of 10
2. Question
What does the slope of a distancetime graph represent?
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Question 3 of 10
3. Question
Two lines on a graph represent the journeys of two cars. If Car A’s line is steeper than Car B’s, which car is moving faster?
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Question 4 of 10
4. Question
A graph shows the relationship between the number of cakes and their total cost. If the line passes through (3, $15) and (5, $25), how much does one cake cost?
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Question 5 of 10
5. Question
If a line on a graph passes through the points (6, 18) and (8, 24), what is its slope?
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Question 6 of 10
6. Question
On a distancetime graph, if the line is horizontal, what does this indicate?
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Question 7 of 10
7. Question
Which representation shows a greater speed: a distancetime graph with a slope of 3 or a distancetime equation d = 4t?
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Question 8 of 10
8. Question
If the graph of hours studied versus test scores has a steep slope, what does this indicate about a student’s performance?
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Question 9 of 10
9. Question
A graph represents the relationship between gallons of paint and the area covered. If 2 gallons cover 100 square feet and 4 gallons cover 200 square feet, what is the unit rate?
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Question 10 of 10
10. Question
If two lines on a graph both pass through the origin and have the same steepness, what can be said about the two relationships they represent?
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