MA.7.AR.4.4 · Proportional Reasoning and Relationships

Translating Between Tables, Equations, and Descriptions: Sample FAST Questions

Given any representation of a proportional relationship, students translate it into a written description, a table, or an equation. For example, "there are 60 minutes in 1 hour" becomes m = 60h, and a table of babysitting earnings becomes both the equation and the sentence that describe it.

How the FAST tests this benchmark

FAST items include equation editor questions writing the equation, table response items completing a table, and multiple choice items matching a description to its equation. Equations stay in the form y = px, so an answer carrying a y-intercept is a sign the setup went wrong.

Skills students need

Write an equation in the form y = px from a table, graph, or description
Build a table from an equation, graph, or description
Write a verbal description from an equation, table, or graph

Try 6 real MA.7.AR.4.4 questions

These come straight from Algebro's 7th grade 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

The graph shows a proportional relationship. The line passes through the origin and the labeled point. Which equation represents this proportional relationship?

Figure may not be to scale

Showcase extra: the real practice and quiz players do not have this button.

Question 4MediumMatching

Each row shows pairs from a proportional relationship with a negative constant. Match each table to its equation

y = kx

Pick one match in each row, then check.

	$y = -6x$	$y = -\frac{1}{3}x$	$y = -\frac{1}{2}x$	$y = -4x$
$(1, -4), (2, -8), (3, -12)$
$(2, -1), (4, -2), (8, -4)$
$(1, -6), (2, -12), (4, -24)$
$(3, -1), (6, -2), (9, -3)$

Showcase extra: the real practice and quiz players do not have this button.

Question 5HardMatching

A line passes through the origin and the point

(4, 6)

, describing

y = \frac{3}{2}x

. Match each

x

-value to its corresponding

y

-value on the line.

Pick one match in each row, then check.

	$y = 9$	$y = 3$	$y = 15$	$y = 6$
$x = 2$
$x = 4$
$x = 6$
$x = 10$

Showcase extra: the real practice and quiz players do not have this button.

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More 7th grade proportional reasoning benchmarks

MA.7.AR.4.5

Real-World Proportional Relationship Problems

MA.7.AR.3.1

Percent Problems: Tax, Tips, Discounts, Interest, and Percent Change

MA.7.AR.3.2

Solving Real-World Problems with Proportions