Constant of Proportionality is a free printable Grade 7 mathematics worksheet that helps students identify and use the constant of proportionality, k, in proportional relationships. Across 20 questions, including 19 multiple-choice items and one multiple-select item, students determine k from tables, identify the equation y = kx, calculate k using k = y/x, recognize k as the unit rate, and find the constant in a given equation or relationship.
The worksheet also asks students to distinguish proportional from non-proportional equations and relationships, including equations with a nonzero constant term, and to interpret whether a table represents a proportional relationship. These varied question formats reinforce accurate use of proportionality vocabulary, equations, ratios, and unit rates. Designed for Grade 7 math instruction, independent practice, or review, this free printable worksheet includes a complete answer key for efficient checking and feedback.
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Constant of Proportionality
Total questions: 20
Name
Class
Date
1.
Determine the constant of proportionality for the table. Express your answer as y = kx
a)
y = 1/2x
b)
x = 1/2y
c)
y = 2x
d)
k = x
2.
Determine the constant of proportionality for the table. Express your answer as y = kx
a)
y = 30k
b)
y = 30x
c)
y = 0.03x
d)
y = 9x
3.
Determine the constant of proportionality for the table. Express your answer as y = kx
a)
y = 33x
b)
y = 0.003x
c)
x = 33y
d)
33k
4.
Determine the constant of proportionality for the table. Express your answer as y = kx
a)
33
b)
y = 1/3x
c)
y = 33x
d)
y = 33
5.
Determine the constant of proportionality for the table. Express your answer as y = kx
a)
15k
b)
x = 15y
c)
y = 0.06x
d)
y = 15x
6.
k represents
a)
the constant of proportionality
b)
the king
c)
ketchup
d)
a strikeout
7.
Which equation matches the constant of proportionality?
a)
x = y
b)
y = x
c)
y = kx
d)
l x w
8.
Which equation helps you solve for k?
a)
k = x/y
b)
k = y/x
c)
k = y + x
d)
k = 2x
9.
Which equation is NOT proportional?
a)
y = 2x - 3
b)
y = 150x
c)
y = 1/2x
10.
Select ALL equations that are proportional.
a)
y = 3x
b)
y = 25x
c)
y = 7x
d)
y = 2x - 1
e)
y = 4000x
11.
Which best describes the graph represented in this table?
a)
proportional
b)
non-proportional
12.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
13.
The constant of proportionality can be found by finding the __________ _____________.
a)
unit rate
b)
ratio rate
c)
proportion answer
d)
rational number
14.
The constant of proportionality in the equation y = ½x is _______.
a)
x
b)
y
c)
1/2
d)
2
15.
Is the given table a proportional relationship? If so, what is the constant?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
16.
Determine the missing value in the table.
a)
15
b)
3
c)
1/3
d)
9
17.
Identify the constant of proportionality.
a)
k = 2
b)
k = 4
c)
k = 1/2
d)
k = 1/4
e)
none (not proportional)
18.
Is this table proportional?
a)
Yes
b)
No
19.
The constant of proportionality is also the unit rate.
a)
True
b)
False
20.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
Answer Key
Constant of Proportionality
Total questions: 20
1.
c)
y = 2x
2.
b)
y = 30x
3.
a)
y = 33x
4.
c)
y = 33x
5.
d)
y = 15x
6.
a)
the constant of proportionality
7.
c)
y = kx
8.
b)
k = y/x
9.
a)
y = 2x - 3
10.
e)
y = 4000x
, c)
y = 7x
, b)
y = 25x
, a)
y = 3x
11.
a) proportional
12.
d) $9
13.
a) unit rate
14.
c) 1/2
15.
b) Yes; 3
16.
a) 15
17.
e)
none (not proportional)
18.
b) No
19.
a) True
20.
a) 102 words per minute
140 %
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FAQs
What does this constant of proportionality worksheet cover?
This Grade 7 mathematics worksheet focuses on finding and interpreting the constant of proportionality, k, from tables, equations, and proportional relationships. Its 20 questions require students to use y = kx and k = y/x, identify the unit rate, determine whether equations or tables are proportional, and complete a multiple-select classification of proportional equations.
How can I use this worksheet to teach the constant of proportionality?
Introduce k as the unit rate by modeling how a table leads to k = y/x and then to the equation y = kx. Have students explain why equations such as y = 150x are proportional while an equation with a nonzero constant term is not, then use the worksheet’s table, equation, and proportional-versus-non-proportional items for guided practice before independent work.
What mistakes should I watch for when students complete this worksheet?
Watch for students reversing the ratio and using x/y instead of k = y/x, or writing k alone instead of expressing the relationship as y = kx. Students may also confuse the coefficient with the variable, select an equation with a nonzero constant term as proportional, or fail to select every correct answer in the multiple-select item.
How do I assign and grade this constant of proportionality worksheet?
The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. You can grade printed submissions by scanning student work with the Wayground for Teachers app, while the digital version supports online assignment and grading.
How can I differentiate this worksheet for my students?
Use the worksheet’s Advanced Settings to adjust font spacing or font size so the equations, tables, and answer choices are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those options better support students working with proportionality notation and vocabulary.
Where can I find more worksheets like this on Wayground?
Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.
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