7th Grade Proportional Relationships and y = kx Test with Point Values (PDF)

7th Grade math test: Proportional Relationships and y = kx – Maths PDF

Cover of the book Grade 7 Math Tests with Answer Keys (PDF)

Download as a PDFThe Grade 7 tests book with answer keysPrintable PDFSee the book ›

Sommaire

This grade 7 proportional relationships test for 7th Grade covers proportional relationships and y = kx (Common Core 7.RP.A.2), with a free PDF to print.

This 45-minute test checks proportional relationships, including tables, graphs, the constant of proportionality, and equations of the form y = kx (Common Core 7.RP.A.2). It has 9 questions worth 20 points in all. Show your work, because most questions give partial credit for correct steps.

Time and points

About this test

Grade: Grade 7
Chapter: Proportional Relationships and y = kx
Standards: 7.RP.A.2
Time: 45 minutes
Total: 20 points

Grade 7 proportional relationships test: questions

Question 1 – Table test [2 pts]

Values of x and y.

Decide whether the table shows a proportional relationship. If it does, write an equation.

Question 2 – Find k [2 pts]

A proportional relationship contains the point (8, 14). Find the constant of proportionality and write the equation. Then find y when $x=20$.

Question 3 – Graph test [2 pts]

Graph of a relationship.

Explain how you know the relationship is proportional. (1 point)
Write the equation. (1 point)

Question 4 – Complete a table [2 pts]

The equation $y=6.5x$ gives the cost y of x movie tickets. Complete the table for $x=2,\; 5,\; 12$.

Question 5 – Meaning of a point [2 pts]

The graph of the cost of bananas passes through (4, 3) and is proportional. State the cost of 1 pound and the cost of 10 pounds.

Question 6 – Compare plans [2 pts]

A car wash charges $8 per car. A second wash charges $5 plus $6 per car. Write an equation for each (cost y, cars x) and tell which one is proportional.

Question 7 – Fraction table [2 pts]

A partly filled table.

The relationship is proportional. Find k and complete the table.

Question 8 – Dog walking [3 pts]

Priya earns $60 for walking dogs 8 hours. Her pay is proportional to hours. (a) Write an equation. (b) Find her pay for 5 hours. (c) Find the hours she needs to earn $150.

Question 9 – Two lines [3 pts]

Plant growth of two seedlings: A passes through (2, 12), B through (4, 12).

Find the constant of proportionality for each line. (1 point)
Write both equations. (1 point)
Find which line has the greater value of y when $x=5$ and by how much. (1 point)

Key facts behind this grade 7 proportional relationships test

Key facts

Proportional means $y/x$ is the same number k for every pair.
The equation of a proportional relationship is $y = kx$.
The graph is a straight line through the origin $(0, 0)$.
The point $(1, k)$ on the graph gives the unit rate.
A line that misses the origin, or a table with changing ratios, is not proportional.

How to use this grade 7 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 7 chapters: Grade 7 math.

Voter.. post

Free printable PDF