Proportional Relationships and Slope: Grade 8 Math Quiz – PDF Download
Answer these ten multiple-choice questions on proportional relationships and slope. Several questions use a graph. Choose the single best answer for each, then read the explanation to learn from any mistakes.
Grade 8Common Core: 8.EE.B.5 · 8.EE.B.6
🎯 Proportional Relationships and Slope – Grade 8 math quiz
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Question 1
What is the slope of the line shown?
A line through the origin.
A\(\frac{2}{5}\)
B\(\frac{5}{2}\)
C\(6\)
D\(\frac{7}{2}\)
Question 2
Which equation represents a proportional relationship?
A\(y=5x\)
B\(y=5x+2\)
C\(y=x+5\)
D\(y=-5x+2\)
Question 3
Both triangles lie under the same line through the origin. What is the missing rise?
Both triangles lie under the same line.
A\(15\)
B\(12\)
C\(16\)
D\(20\)
Question 4
Car A follows \(y=45x\). Car B travels 100 miles in 2 hours and 200 miles in 4 hours. Which statement is true?
ACar A is faster by \(5\) mph
BCar B is faster by \(10\) mph
CThey go the same speed
DCar B is faster by \(5\) mph
Question 5
Which equation describes the line shown?
A line with a positive y-intercept.
A\(y=3x+2\)
B\(y=2x-3\)
C\(y=7x\)
D\(y=2x+3\)
Question 6
What is the slope of the line through \((1,2)\) and \((5,14)\)?
A\(\frac{1}{3}\)
B\(12\)
C\(3\)
D\(4\)
Question 7
Which point lies on the graph of \(y=\frac{3}{4}x\)?
A\((8,6)\)
B\((6,8)\)
C\((4,7)\)
D\((3,4)\)
Question 8
The graph shows the money Jamal earns. Which statement is true?
Money earned by Jamal.
AHe earns \(\$3\) per hour
BHe earns \(\$12\) per hour
CHe earns \(\$36\) per hour
DHe earns \(\$108\) per hour
Question 9
What is the \(y\)-intercept of the line \(y=-2x+9\)?
A\(-2\)
B\(9\)
C\(2\)
D\(-9\)
Question 10
Which statement about the two lines is true?
Two proportional relationships.
AP has slope \(\frac{5}{2}\), greater than \(\frac{3}{2}\)
BQ has slope \(\frac{2}{5}\), less than \(\frac{2}{3}\)
CQ has slope \(\frac{5}{2}\), greater than \(\frac{3}{2}\)
DBoth lines have slope \(\frac{3}{2}\)
🎉 Quiz complete!
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Remember:
Standards 8.EE.B.5 and 8.EE.B.6: graph proportional relationships, compare unit rates, and explain slope with similar triangles.
A proportional relationship is \(y=mx\); the slope \(m\) is the unit rate.
Slope is rise over run, \(\frac{y_2-y_1}{x_2-x_1}\), and is the same between any two points on a line.
The equation \(y=mx+b\) has slope \(m\) and \(y\)-intercept \(b\).
To compare two relationships, compare their unit rates.
