MA.8.AR.3.2 · Linear Relationships, Data Analysis, and Functions

Finding Slope from Graphs, Tables, and Descriptions: Sample FAST Questions

Slope is the rate of change of a linear relationship, and 8th graders find it from every representation: counting rise over run on a graph, applying the slope formula to two points or a table, and pulling the per-unit rate out of a written description.

How the FAST tests this benchmark

The FAST mixes equation editor items for a slope value with multiple choice and graphic response items. The most common error is inverting rise and run, and a descending line catches students who compute the size of the slope but drop the negative.

Skills students need

Find slope from a graph using rise over run
Find slope from two points with the slope formula
Find slope from a table of values
Find a rate of change from a written description

Try 6 real MA.8.AR.3.2 questions

These come straight from Algebro's 8th grade pre-algebra question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

Answer it and Algebro checks it instantly

Question 1EasyMultiple Choice

Weeks, $x$	Balance (dollars), $y$
0	0
1	12
2	24
3	36

A savings balance

y

(in dollars) after

x

weeks is shown. The relationship is proportional (the line passes through the origin). What is the constant of proportionality

k

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Question 4MediumEquation Editor

Hours, $x$	Distance (miles), $y$
2	90
4	180
6	270

A car's distance

y

(in miles) after

x

hours is shown. What is the slope (rate of change) of this linear relationship?

Enter the number only. Do not include units like $, %, or ft²

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Question 5HardMatching

Match each description to its slope written in simplest form.

Pick one match in each row, then check.

	A. $\frac{7}{2}$	B. $-\frac{1}{2}$	C. $\frac{5}{3}$	D. $-\frac{3}{2}$
A drone descends 12 meters every 8 seconds
A printer prints 21 pages every 6 minutes
A pool loses 7 centimeters of water every 14 minutes
A hiker climbs 15 feet every 9 minutes

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More 8th grade linear relationships and functions benchmarks

MA.8.AR.3.3

Writing Equations in Slope-Intercept Form

MA.8.AR.3.4

Graphing Two-Variable Linear Equations

MA.8.AR.3.5

Interpreting Slope and y-Intercept in Context