Worksheets · Pre-Algebra
Proportional relationships worksheet y is proportional to x when y divided by x gives the same number every time. That number is the constant of proportionality, k, and the equation is y = kx. A table where y climbs by a fixed amount but does not start at zero is linear, not proportional.
Select your difficulty Pick more than one for a sheet that mixes them.
Easy e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 1 3 5 7 y 8 20 32 44 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 1 8 3 20 5 32 7 44 No Medium e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 4 8 12 16 y 2 4 6 8 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 4 2 8 4 12 6 16 8 Yes, k = 1 2 k = 2 1 Hard e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 8 20 32 44 y 30 69 108 147 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 8 30 20 69 32 108 44 147 No
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Mixed One kind at a time
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Roomy Compact
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Sigma Prep · sigmaprep.io/worksheets
Name
Proportional Relationships Date
Use each table.
e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 6 8 10 12 y 45 60 77 90 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 6 45 8 60 10 77 12 90 e x t F i n d t h e c o n s t a n t o f p r o p o r t i o n a l i t y x 2 4 6 8 y 7 14 21 28 e x t F in d t h eco n s t an t o f p ro p or t i o na l i t y x y 2 7 4 14 6 21 8 28 e x t W r i t e t h e e q u a t i o n f o r t h e t a b l e x 2 4 6 8 y 5 10 15 20 e x t W r i t e t h ee q u a t i o n f or t h e t ab l e x y 2 5 4 10 6 15 8 20 e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 6 8 10 12 y 33 44 55 66 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 6 33 8 44 10 55 12 66 e x t F i n d t h e c o n s t a n t o f p r o p o r t i o n a l i t y x 6 8 10 12 y 33 44 55 66 e x t F in d t h eco n s t an t o f p ro p or t i o na l i t y x y 6 33 8 44 10 55 12 66 e x t W r i t e t h e e q u a t i o n f o r t h e t a b l e x 12 24 36 48 y 33 66 99 132 e x t W r i t e t h ee q u a t i o n f or t h e t ab l e x y 12 33 24 66 36 99 48 132 e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 1 2 3 4 y 12 24 36 48 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 1 12 2 24 3 36 4 48 e x t F i n d t h e c o n s t a n t o f p r o p o r t i o n a l i t y x 3 5 7 9 y 30 50 70 90 e x t F in d t h eco n s t an t o f p ro p or t i o na l i t y x y 3 30 5 50 7 70 9 90 e x t W r i t e t h e e q u a t i o n f o r t h e t a b l e x 1 3 5 7 y 10 30 50 70 e x t W r i t e t h ee q u a t i o n f or t h e t ab l e x y 1 10 3 30 5 50 7 70 e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 12 20 28 36 y 45 75 105 135 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 12 45 20 75 28 105 36 135 e x t F i n d t h e c o n s t a n t o f p r o p o r t i o n a l i t y x 12 24 36 48 y 33 66 99 132 e x t F in d t h eco n s t an t o f p ro p or t i o na l i t y x y 12 33 24 66 36 99 48 132 e x t W r i t e t h e e q u a t i o n f o r t h e t a b l e x 12 16 20 24 y 3 4 5 6 e x t W r i t e t h ee q u a t i o n f or t h e t ab l e x y 12 3 16 4 20 5 24 6 e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 12 24 36 48 y 33 66 99 132 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 12 33 24 66 36 99 48 132 e x t F i n d t h e c o n s t a n t o f p r o p o r t i o n a l i t y x 4 12 20 28 y 15 45 75 105 e x t F in d t h eco n s t an t o f p ro p or t i o na l i t y x y 4 15 12 45 20 75 28 105 e x t W r i t e t h e e q u a t i o n f o r t h e t a b l e x 1 3 5 7 y 11 33 55 77 e x t W r i t e t h ee q u a t i o n f or t h e t ab l e x y 1 11 3 33 5 55 7 77 e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 2 8 14 20 y 9 42 75 108 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 2 9 8 42 14 75 20 108 e x t F i n d t h e c o n s t a n t o f p r o p o r t i o n a l i t y x 8 16 24 32 y 6 12 18 24 e x t F in d t h eco n s t an t o f p ro p or t i o na l i t y x y 8 6 16 12 24 18 32 24 e x t W r i t e t h e e q u a t i o n f o r t h e t a b l e x 1 2 3 4 y 10 20 30 40 e x t W r i t e t h ee q u a t i o n f or t h e t ab l e x y 1 10 2 20 3 30 4 40 e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 2 3 4 5 y 24 37 48 60 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 2 24 3 37 4 48 5 60 e x t F i n d t h e c o n s t a n t o f p r o p o r t i o n a l i t y x 4 8 12 16 y 1 2 3 4 e x t F in d t h eco n s t an t o f p ro p or t i o na l i t y x y 4 1 8 2 12 3 16 4
Sigma Prep · sigmaprep.io/worksheets
Name
Proportional RelationshipsAnswer keyVersion 1 Date
Use each table.
e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 6 8 10 12 y 45 60 77 90 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 6 45 8 60 10 77 12 90 No e x t F i n d t h e c o n s t a n t o f p r o p o r t i o n a l i t y x 2 4 6 8 y 7 14 21 28 e x t F in d t h eco n s t an t o f p ro p or t i o na l i t y x y 2 7 4 14 6 21 8 28 k = 7 2 k = 2 7 e x t W r i t e t h e e q u a t i o n f o r t h e t a b l e x 2 4 6 8 y 5 10 15 20 e x t W r i t e t h ee q u a t i o n f or t h e t ab l e x y 2 5 4 10 6 15 8 20 y = 5 2 x y = 2 5 x e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 6 8 10 12 y 33 44 55 66 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 6 33 8 44 10 55 12 66 Yes, k = 11 2 k = 2 11 e x t F i n d t h e c o n s t a n t o f p r o p o r t i o n a l i t y x 6 8 10 12 y 33 44 55 66 e x t F in d t h eco n s t an t o f p ro p or t i o na l i t y x y 6 33 8 44 10 55 12 66 k = 11 2 k = 2 11 e x t W r i t e t h e e q u a t i o n f o r t h e t a b l e x 12 24 36 48 y 33 66 99 132 e x t W r i t e t h ee q u a t i o n f or t h e t ab l e x y 12 33 24 66 36 99 48 132 y = 11 4 x y = 4 11 x e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 1 2 3 4 y 12 24 36 48 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 1 12 2 24 3 36 4 48 Yes, k = 12 k = 12 e x t F i n d t h e c o n s t a n t o f p r o p o r t i o n a l i t y x 3 5 7 9 y 30 50 70 90 e x t F in d t h eco n s t an t o f p ro p or t i o na l i t y x y 3 30 5 50 7 70 9 90 k = 10 k = 10 e x t W r i t e t h e e q u a t i o n f o r t h e t a b l e x 1 3 5 7 y 10 30 50 70 e x t W r i t e t h ee q u a t i o n f or t h e t ab l e x y 1 10 3 30 5 50 7 70 y = 10 x y = 10 x e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 12 20 28 36 y 45 75 105 135 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 12 45 20 75 28 105 36 135 Yes, k = 15 4 k = 4 15 e x t F i n d t h e c o n s t a n t o f p r o p o r t i o n a l i t y x 12 24 36 48 y 33 66 99 132 e x t F in d t h eco n s t an t o f p ro p or t i o na l i t y x y 12 33 24 66 36 99 48 132 k = 11 4 k = 4 11 e x t W r i t e t h e e q u a t i o n f o r t h e t a b l e x 12 16 20 24 y 3 4 5 6 e x t W r i t e t h ee q u a t i o n f or t h e t ab l e x y 12 3 16 4 20 5 24 6 y = 1 4 x y = 4 1 x e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 12 24 36 48 y 33 66 99 132 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 12 33 24 66 36 99 48 132 Yes, k = 11 4 k = 4 11 e x t F i n d t h e c o n s t a n t o f p r o p o r t i o n a l i t y x 4 12 20 28 y 15 45 75 105 e x t F in d t h eco n s t an t o f p ro p or t i o na l i t y x y 4 15 12 45 20 75 28 105 k = 15 4 k = 4 15 e x t W r i t e t h e e q u a t i o n f o r t h e t a b l e x 1 3 5 7 y 11 33 55 77 e x t W r i t e t h ee q u a t i o n f or t h e t ab l e x y 1 11 3 33 5 55 7 77 y = 11 x y = 11 x e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 2 8 14 20 y 9 42 75 108 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 2 9 8 42 14 75 20 108 No e x t F i n d t h e c o n s t a n t o f p r o p o r t i o n a l i t y x 8 16 24 32 y 6 12 18 24 e x t F in d t h eco n s t an t o f p ro p or t i o na l i t y x y 8 6 16 12 24 18 32 24 k = 3 4 k = 4 3 e x t W r i t e t h e e q u a t i o n f o r t h e t a b l e x 1 2 3 4 y 10 20 30 40 e x t W r i t e t h ee q u a t i o n f or t h e t ab l e x y 1 10 2 20 3 30 4 40 y = 10 x y = 10 x e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 2 3 4 5 y 24 37 48 60 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 2 24 3 37 4 48 5 60 No e x t F i n d t h e c o n s t a n t o f p r o p o r t i o n a l i t y x 4 8 12 16 y 1 2 3 4 e x t F in d t h eco n s t an t o f p ro p or t i o na l i t y x y 4 1 8 2 12 3 16 4 k = 1 4 k = 4 1
Found a mistake on this sheet?
How to do these Find the constant of proportionalityx 2 4 6 y 6 12 18 x y 2 6 4 12 6 18
Divide y by x in any column. 6 over 2 is 3, and 12 over 4 is 3 as well. The answer is k = 3 k = 3
Where students go wrong Testing one column and stopping. One pair always divides to something; proportional means every pair divides to the same thing.
Also called constant of proportionality, y = kx, proportional tables or direct proportion.
What you can put on this worksheet
Proportional or not, from a table e x t I s y e x t p r o p o r t i o n a l t o x e x t ? x 2 5 8 11 y 10 25 40 55 e x t I s y e x t p ro p or t i o na lt o x e x t ? x y 2 10 5 25 8 40 11 55 → Yes, k = 5 k = 5
The constant of proportionality e x t F i n d t h e c o n s t a n t o f p r o p o r t i o n a l i t y x 2 5 8 11 y 10 25 40 55 e x t F in d t h eco n s t an t o f p ro p or t i o na l i t y x y 2 10 5 25 8 40 11 55 → k = 5 k = 5
The equation y = kx from a table e x t W r i t e t h e e q u a t i o n f o r t h e t a b l e x 2 5 8 11 y 10 25 40 55 e x t W r i t e t h ee q u a t i o n f or t h e t ab l e x y 2 10 5 25 8 40 11 55 → y = 5 x y = 5 x Questions about these worksheets Are these proportional relationships worksheets free? + Yes. Every proportional relationships sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.
Do the proportional relationships worksheets come with an answer key? + Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.
Are these proportional relationships worksheets printable? + Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.
What grade are these proportional relationships worksheets for? + Pre-Algebra is usually taken around 7th or 8th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.
Can I get a different version of the same proportional relationships worksheet? + Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.
Is this a free alternative to Kuta Software for proportional relationships? + That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the proportional relationships questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.
Can I choose how hard the proportional relationships questions are? + Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.
What kinds of question are on a proportional relationships worksheet? + You pick from 3: proportional or not, from a table, the constant of proportionality and the equation y = kx from a table. Tick as many as you want and set how many of each, or let it spread them evenly.
What do students get wrong with proportional relationships? + Testing one column and stopping. One pair always divides to something; proportional means every pair divides to the same thing.
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