Equations in x and y: write one for a story, and check a solution pair
Grade 9 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Read this first
Use this
Table of pairs (count | count). A pair fits the story when it solves the equation and both counts are whole numbers, zero or more.
Tala buys c cookies at $2 and d drinks at $3 for $24, so 2c + 3d = 24. Which pair (c, d) makes sense in the story?
- (4.5, 5)
- (4, 6)
- (6, 4)
- (12, 12)
Jun spends 20 tokens on s slides at 3 tokens and g games at 2 tokens, so 3s + 2g = 20. Which pair (s, g) makes sense in the story?
- (7, 2)
- (12, 8)
- (-2, 13)
- (2, 7)
Pia buys f fruit cups at $5 and w water bottles at $2 for $31, so 5f + 2w = 31. Which pair (f, w) makes sense in the story?
- (20, 11)
- (3, 5)
- (5, 3)
- (7, -2)
The line is 2x + ky = 16. Milo knows the pair (3, 2) is a solution of 2x + ky = 16. What is k?
The line is 3x + ky = 26. Zee knows the pair (2, 4) is a solution of 3x + ky = 26. What is k?
Input–output table
x y 0 9 First rows.
The rule is 3x + 5y = 45.
Ren has 45 coins. A ride costs 3 coins and a game costs 5 coins. How many (rides, games) pairs of whole numbers use exactly 45 coins, with zero allowed?
Input–output table
x y 0 12 First rows.
The rule is 6x + 4y = 48.
Esme has 48 stars. A sticker costs 6 stars and a badge costs 4 stars. How many (stickers, badges) pairs of whole numbers use exactly 48 stars, with zero allowed?
Input–output table
x y 0 10 First rows.
The rule is 2x + 3y = 30.
Noah packs 30 balloons. A small pack holds 2 and a big pack holds 3. How many (small, big) pairs of whole numbers hold exactly 30 balloons, with zero allowed?
Total 17. Ari buys c notebooks at $3 each and g pens at $2 each, and spends $17. If Ari buys 3 notebooks, how many pens is that?
Total 29. Luz buys d binders at $4 each and f folders at $3 each, and spends $29. If Luz buys 2 binders, how many folders is that?
