MA.7.AR.4.2 · Proportional Reasoning and Relationships

Finding the Constant of Proportionality: Sample FAST Questions

Students find the constant of proportionality from a table, a graph, or a written description. If a line passes through the origin and the point (5, 2), the constant is 2/5; if a babysitter earns $9 per hour, the constant is the 9 in the equation e = 9h.

How the FAST tests this benchmark

On the FAST, students answer equation editor items entering the constant and multiple choice items reading it off a graph or a table. This benchmark is drawn twice per practice test. The most common error is inverting the ratio, so students have to track which quantity is y and which is x.

Skills students need

Find the constant of proportionality from a table
Find the constant of proportionality from a graph
Find the constant of proportionality from a written description
Interpret what the constant of proportionality means in context

Try 6 real MA.7.AR.4.2 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 Select

$x$	$y$
2	18
4	36
7	63

The table shows a proportional relationship. Select ALL true statements about the constant of proportionality

k

Select every answer that applies, then check.

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

Question 3MediumDrop-Down

$x$	$y$
10	4
15	6
25	10

The table shows a proportional relationship.

k

= and the equation is .

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

Question 5HardMatching

Each line passes through the origin and the labeled point shown. Match each line to its constant of proportionality

k

Pick one match in each row, then check.

	A. $k = \frac{3}{5}$	B. $k = \frac{3}{8}$	C. $k = \frac{4}{7}$	D. $k = \frac{2}{3}$
Line P: $(3, 2)$
Line Q: $(7, 4)$
Line R: $(5, 3)$
Line S: $(8, 3)$

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.4.3

Graphing Proportional Relationships

MA.7.AR.4.4

Translating Between Tables, Equations, and Descriptions

MA.7.AR.4.5

Real-World Proportional Relationship Problems