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Proportional vs Nonproportional Relationships

Authored by Catherine Jones

Mathematics

7th Grade

CCSS covered

Used 3K+ times

Proportional vs Nonproportional Relationships
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About

This quiz focuses on proportional versus nonproportional relationships, a fundamental topic in middle school algebra that bridges arithmetic reasoning and algebraic thinking. The questions assess 7th-grade level mathematical concepts, requiring students to analyze relationships through multiple representations including tables, graphs, equations, and real-world contexts. Students must demonstrate their understanding that proportional relationships pass through the origin, maintain a constant ratio between variables, and can be represented by equations of the form y = kx where k is the constant of proportionality. The core reasoning skills needed include recognizing patterns in data, calculating and comparing ratios, interpreting linear graphs, translating between different mathematical representations, and distinguishing between relationships that have a constant rate of change with no initial value versus those that include a y-intercept or starting amount. Created by Catherine Jones, a Mathematics teacher in US who teaches grade 7. This quiz serves as an excellent formative assessment tool to gauge student comprehension before moving into more complex algebraic concepts like writing and graphing linear equations. Teachers can deploy this as a warm-up activity to activate prior knowledge, use it for guided practice during instruction, or assign it as homework to reinforce classroom learning. The variety of question formats—from visual graph analysis to contextual word problems—makes it particularly effective for review sessions where students need to synthesize their understanding across different problem types. This assessment aligns with standards 7.RP.A.2, which focuses on recognizing and representing proportional relationships, and 8.EE.B.5, which addresses graphing proportional relationships and interpreting unit rates as slopes.

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20 questions

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1.

MULTIPLE CHOICE QUESTION

5 sec • 1 pt

Media Image

Does this graph represent a proportional relationship?  

No, because it doesn't pass through the origin.
Yes, because it doesn't pass through the origin.
Yes, because it intersects the y axis.
No, because it intersects the x axis.

Tags

CCSS.7.RP.A.2D

2.

MULTIPLE CHOICE QUESTION

5 sec • 1 pt

Media Image

REVIEW QUESTION
Which best describes the graph represented in this table?

 proportional
non-proportional

Tags

CCSS.7.RP.A.2B

3.

MULTIPLE CHOICE QUESTION

5 sec • 1 pt

Media Image

Is the graph proportional or non proportional?

proportional
non proportional

Tags

CCSS.7.RP.A.2D

4.

MULTIPLE CHOICE QUESTION

5 sec • 1 pt

Media Image

Which graph is proportional?

A
B
C and D
All of the graphs are proportional

Tags

CCSS.7.RP.A.2D

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

REVIEW QUESTION
Is this table proportional or non-proportional?

Proportional
Non-Proportional

Tags

CCSS.7.RP.A.2A

6.

MULTIPLE CHOICE QUESTION

5 sec • 1 pt

Media Image

Is the graph proportional or non-proportional?

Proportional
Non-Proportional

Tags

CCSS.7.RP.A.2D

7.

MULTIPLE CHOICE QUESTION

5 sec • 1 pt

Which relationship is an example of a proportional function?

a rental company charges $80 per day and a one-time fee of $24
a taxi ride costs $2 for the first mile and $4 for each additional mile
a gym membership cost $30 per month and an additional annual registration fee of $75
Beverly earns $210 a week for 4 weeks

Tags

CCSS.HSF-LE.A.1B

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