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Student Opinion Survey Models

Write proportional equations from a school newspaper's opinion surveys using tables, fractions, percents, and reporting plans.

Grade 7MathInteractive · Printable

Aligned to7.RP.A.2.c

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
14 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 7
Subject: Math
Question types: Fill in the blank, Multiple choice, Matching, Short answer

About this worksheet

What students practice

Students write proportional equations from survey tables, fractions, and percents.
Students use defined variables to model survey counts and reporting rates.
Students explain why a proportional equation uses multiplication rather than a fixed difference.

How to use

Use after introducing the constant of proportionality. Have students identify the input and output in each model, then discuss the final error analysis.

Curriculum

Common Core standard covered

7.RP.A.2.c

Write equations for proportional relationships, such as total cost t = pn for n items at price p.

Preview

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Name Date

Student Opinion Survey Models

Represent survey relationships with proportional equations.

From Responses to Equations

The school newspaper is surveying student opinions. For each model, assume the stated fraction of responses stays constant as the total changes.

Let n be the total number of responses and p be the number favoring a longer lunch period. Which equation models the table?

Longer Lunch Period
Total responses, n	In favor, p
20	7
40	14
60	21

A. p = 0.35n
B. p = 0.65n
C. p = 7n
D. p = n + 7

The newspaper asks whether students want more shaded outdoor seating. Let n be total responses and s be responses in favor.

Shaded Seating
Total responses, n	In favor, s
15	9
25	15
40	24

Complete the proportional equation: s = n.

For every 8 students surveyed, 3 prefer opinion columns to other newspaper features. Let p be the number who prefer opinion columns and n be the total surveyed. Which equation models this relationship?