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 - Building Confidence

NameDate

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

Put 3 in the x place and 5 in the y place of 2x + y. In math club, Kira tests the pair (3, 5) in 2x + y = 12. What does 2x + y come to when x = 3 and y = 5?
Put 4 in the x place and 1 in the y place of 3x + y. On a worksheet, Luz tests the pair (4, 1) in 3x + y = 14. What does 3x + y come to when x = 4 and y = 1?
Put 5 in the x place and 3 in the y place of x + 2y. In a puzzle book, Tala tests the pair (5, 3) in x + 2y = 9. What does x + 2y come to when x = 5 and y = 3?
Put 3 in the x place and 5 in the y place of 4x + y. In the warm-up, Jun tests the pair (3, 5) in 4x + y = 17. What does 4x + y come to when x = 3 and y = 5?
The rule is 2x + y = 15. Pia knows 2x + y = 15 and x = 4. The row says 2 × 4 + y = 15, which is 8 + y = 15. What is y?
The rule is 3x + y = 14. Bo knows 3x + y = 14 and x = 2. The row says 3 × 2 + y = 14, which is 6 + y = 14. What is y?
The rule is 4x + y = 21. Milo knows 4x + y = 21 and x = 3. The row says 4 × 3 + y = 21, which is 12 + y = 21. What is y?
The rule is 5x + y = 11. Zee knows 5x + y = 11 and x = 1. The row says 5 × 1 + y = 11, which is 5 + y = 11. What is y?
Read this first
Money for each item = price × count. Table
count money
f 3f
w 2w
9.
Esme buys f fruit cups at $3 each and w water bottles at $2 each, and spends $19. The fruit cups cost 3f dollars. Which equation fits the whole story?
- f + w = 19
- 3f + 2w = 19
- 2f + 3w = 19
10.
Noah takes v bus rides at $5 each and buys h snacks at $2 each, and spends $26. The rides cost 5v dollars. Which equation fits the whole story?
- 5v + 2h = 26
- v + h = 26
- 2v + 5h = 26

count	money
f	3f
w	2w

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.

More algebra 1

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