Proportional Relationship
7th Grade

Constant of Proportionality Practice Pack

Practice finding k from tables, graphs, equations, and word problems. Includes step-by-step answer key and digital version.

8 pagesPDF + Google SlidesAnswer key includedDigital version
$3.99

What's Included

8 pages: 2 pages finding k from tables, 2 pages finding k from graphs, 2 pages finding k from equations, 1 page finding k from word problems, 1 mixed review page.

Skills Covered

Finding the constant of proportionality from any representation. Understanding k as the unit rate and slope. Writing the equation y = kx once k is found.

Sample Problems

From a Table

Find k: x=3,y=15; x=7,y=35; x=10,y=50

Answer: 15÷3=5, 35÷7=5, 50÷10=5. k=5.

From a Graph

A line passes through (6, 18). Find k.

Answer: k = 18 ÷ 6 = 3

From a Word Problem

A printer prints 45 pages in 3 minutes at a constant rate. Find k.

Answer: k = 45 ÷ 3 = 15 pages per minute

Standards

7.RP.A.2b7.RP.A.2c

Frequently asked questions

What is the constant of proportionality?

The fixed number k in y = kx. It tells you how much y changes per 1 unit of x.

Is k the same as slope?

Yes, when the line passes through the origin.

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