8th Grade Proportional Relationships and Slope Test with Point Values (PDF)

8th Grade math test: Proportional Relationships and Slope – Maths PDF

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This grade 8 proportional relationships test for 8th Grade covers proportional relationships and slope (Common Core 8.EE.B.5), with a free PDF to print.

This 20-point test checks proportional relationships, unit rates and slope on graphs, tables and equations (Common Core 8.EE.B.5). Work alone, show every step, and write each final answer clearly. You have 45 minutes. Calculators are not needed unless a question says so.

Time and points

About this test

Grade: Grade 8
Chapter: Proportional Relationships and Slope
Standards: 8.EE.B.5
Time: 45 minutes
Total: 20 points

Grade 8 proportional relationships test: questions

Question 1 – Table and rate [2 pts]

Is the relationship proportional? If so, give the equation.

Question 2 – Slope from a graph [3 pts]

Line through the origin.

Find the slope of the line and write its equation. Then find $y$ when $x = 10$.

Question 3 – Compare two relationships [3 pts]

Relationship A.

Relationship A is shown by the graph. Relationship B is $y = 3x$. Find the unit rate of each. Which has the greater rate?

Question 4 – Grocery price [2 pts]

Four pounds of grapes cost \$9.40. Write an equation for the cost $c$ of $p$ pounds and find the cost of 7 pounds.

Question 5 – Is it proportional? [2 pts]

A gym charges a \$20 sign-up fee plus \$10 per month. Is the total cost proportional to the number of months? Explain.

Question 6 – Two slopes [2 pts]

Lines A and B.

Find the slope of each line.

Question 7 – Walking speeds [3 pts]

Maya walks $y = 3.2x$ miles in $x$ hours. Ethan walks 9 miles in 3 hours. Who walks faster? By how many miles per hour?

Question 8 – Find the point [3 pts]

The line $y = \frac{2}{3}x$ passes through $(9, a)$ and $(b, 8)$. Find $a$ and $b$.

Key facts behind this grade 8 proportional relationships test

Key facts

Equation: $y = kx$, where $k = \frac{y}{x}$ is the unit rate.
The graph is a straight line through the origin $(0, 0)$.
Slope = $\frac{\text{rise}}{\text{run}}$, the same between any two points on the line.
A greater unit rate means a steeper line.
In a table, check that $\frac{y}{x}$ is constant.

How to use this grade 8 proportional relationships test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 8 chapters: Grade 8 math.

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