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constant rate of change - Printable Mathematics Worksheets - Wayground

constant rate of change

10 questions

7th - 7th Grade

Mathematics

This Grade 7 mathematics worksheet gives students focused practice with constant rate of change through 10 multiple-choice questions. Students identify rates from numerical relationships, calculate unit rates such as dollars per pound and customers per hour, and use constant speed to predict a distance over time. Several questions require students to write or recognize equations in the form y = kx, while another asks them to identify the units that describe a rate. The worksheet is useful for introducing or reinforcing proportional relationships, slope, and unit-rate reasoning. Students must connect tables, real-world situations, equations, and measurement units rather than rely on a single calculation procedure. It is a free printable worksheet with a complete answer key, making it suitable for independent practice, guided review, homework, or a quick formative assessment.

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constant rate of change

Total questions: 10

Name
Class
Date
1.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
2.
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
3.
a)
40 CALORIES PER MIN.
b)
15 CALORIES PER MIN.
c)
4 CALORIES PER MIN.
d)
60 CALORIES PER MIN.
4.

What is the constant rate of change between the quantities in the table?

a)

$1 per hour

b)

$40 per hour

c)

$5 per hour

d)

$10 per hour

5.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$35 per pound

c)

$5 per pound

d)

$0.125 per pound

6.

A store has 120 customers in 6 hours. What is the unit rate in customers per hour?

a)

16 customers per hour

b)

12 customers per hour

c)

20 customers per hour

d)

15 customers per hour

7.

After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?

a)

400 miles

b)

325 miles

c)

575 miles

d)

650 miles

8.
Write the equation for the table given
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
d)
x = 3y
9.
Write an equation for this relationship.
a)
y=4x
b)
y=1/8x
c)
y=1/4x
d)
y=8x
10.

A car is going 50 miles per hour. A rate that describes this would have units of

a)

Miles and cars

b)

Miles and hours

c)

Miles only

d)

Hours only

Answer Key

constant rate of change

Total questions: 10

1.
b) 2
2.
b) Taylor can write 25 words per minute
3.
c) 4 CALORIES PER MIN.
4.
c)

$5 per hour

5.
a)

$8 per pound

6.
c)

20 customers per hour

7.
b)

325 miles

8.
b) y = 3x
9.
c) y=1/4x
10.
b)

Miles and hours

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FAQs

What does this constant rate of change worksheet cover?

This Grade 7 worksheet uses 10 multiple-choice questions to develop understanding of constant rate of change. Students calculate unit rates, identify rate units, use constant speed to predict a later distance, and connect tables or relationships to equations such as y = 3x and y = 1/4x.

How can I use this worksheet to teach constant rate of change?

Begin by modeling one unit-rate question, emphasizing which quantity belongs in the numerator and denominator, such as dollars per pound or customers per hour. Then have students explain how a table, a real-world situation, and an equation of the form y = kx represent the same constant relationship before completing the multiple-choice items independently.

What mistakes should I watch for when students complete this worksheet?

Watch for students reversing the quantities when calculating unit rates, choosing a reciprocal coefficient when writing an equation, or confusing the variables in relationships such as y = 3x. Students may also select an answer with incorrect units or multiply by the wrong time interval when using constant speed to predict distance.

How do I assign and grade this constant rate of change worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the 10 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this worksheet for my students?

For the numerical tables, unit-rate scenarios, and equation choices on this worksheet, use Advanced Settings to adjust font spacing or choose a larger font size for easier visual tracking. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options better support access to the questions.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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