Grade 9 · Math · Algebra 1

9th grade Equations in x and y: write one for a story, and check a solution pair worksheet

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Equations in x and y: write one for a story, and check a solution pair

Grade 9 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

Read this first
Use this
Input–output table (x | y). Each pair is one row; a solution is a row that makes both sides equal.
1.
In math club, Ari tests pairs in 3x + 2y = 18. Which pair is a solution?
- (3, 4)
- (10, 8)
- (4, 3)
2.
Tala tests pairs from a puzzle book for x + 2y = 3. Which pair is a solution?
- (5, 1)
- (7, -4)
- (5, -1)
- (-1, 5)
3.
Jun tests pairs for the rule 3x − 2y = 5. Which pair is a solution?
- (2, 3)
- (3, 2)
- (4, 1)
The line is 2x + 5y = 40. Bo's line is 2x + 5y = 40. The pair (5, ?) is on the line. What number goes in place of the ?
The line is 4x + 3y = 33. Milo's line is 4x + 3y = 33. The pair (3, ?) is on the line. What number goes in place of the ?
The line is 5x − 2y = 14. Zee's line is 5x − 2y = 14. The pair (4, ?) is on the line. What number goes in place of the ?
Use the table
count amount
c 3c
g 2g
Ren buys c notebooks at $3 each and g pens at $2 each, and spends $17. What equation fits the story, using c and g?
Esme spends 20 tokens on h rides at 4 tokens each and g games at 2 tokens each. What equation fits the story, using h and g?
Noah packs q potato bags of 5 kg each and c carrot bags of 3 kg each, 29 kg in all. What equation fits the story, using q and c?
Ari practices s songs at 15 minutes each and w warm-ups at 10 minutes each, 60 minutes in all. What equation fits the story, using s and w?

count	amount
c	3c
g	2g

9th grade Equations in x and y: write one for a story, and check a solution pair worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Equations in x and y: write one for a story, and check a solution pair. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can check whether a pair (x, y) is a solution of an equation such as 3x + 2y = 18.
I can find the missing number of a pair on the line.
I can write an equation for a story with two unknown amounts, and pick the pair that makes sense.

Standard: A-CED.A.2, A-REI.D.10

Words to know

solution of an equation in x and y: A pair (x, y) that makes both sides equal. It is one row of the table.

pair: Two numbers (x, y), x first. One point on the graph.

standard form: An equation written as Ax + By = C.

whole-number solution: A pair of whole numbers, zero or more, that makes the equation true.

Common mistakes

Your child put the two numbers of a pair in backwards.

Your child left out the numbers in front of the letters (treated 3x + 2y as x + y).

Your child added a term to both sides instead of taking it away.

What to say

Ask: which number of (3, 5) is x? It is always the first.

Ask: what does the 3 in front of x do?

Ask: if 6 + y = 11, what do you do to get y alone?

Questions parents ask

What is the most common mistake with equations in x and y: write one for a story, and check a solution pair?

Your child put the two numbers of a pair in backwards.

How can I help my child with equations in x and y: write one for a story, and check a solution pair?

Ask: which number of (3, 5) is x? It is always the first.

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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