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Grade 7 · Math

7th grade Write an equation for a story worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Write an equation for a story

Grade 7 Math Worksheet - Building Confidence

NameDate

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

  1. Ren has $8 and saves $2 each week for a new kite. After w weeks, Ren has $30. Let w be the number of weeks. What equation matches the story?

  2. Tala's sunflower seedling is 6 cm tall and grows 2 cm each day. After d days, it is 26 cm tall. Let d be the number of days. What equation matches the story?

  3. Zee buys 3 packs of crayons and uses a $2 coupon. Zee pays $13. Let c be the price of one pack, in dollars. What equation matches the story?

  4. Ari has 4 bags with the same number of buttons in each. Ari gives 5 buttons away and keeps 19. Let g be the buttons in one bag. What equation matches the story?

  5. Bo draws two bars of equal value for a puzzle about shells. Let d stand for the unknown. Which equation matches the bars?

    • 3d + 4 = 19
    • d + 4 = 19
    • 3d − 4 = 19
    • 4d + 3 = 19
  6. Jun draws two bars of equal value for a puzzle about paint. Let c stand for the unknown. Which equation matches the bars?

    • 4c + 6 = 34
    • c − 6 = 34
    • 4c − 6 = 34
    • 6c − 4 = 34
  7. Kira has 5 shells and finds 3 more each day at the beach. After d days, Kira has 23 shells. Let d be the number of days. Which equation fits?

    • 3(d + 5) = 23
    • 3d − 5 = 23
    • 3d + 5 = 23
    • 5d + 3 = 23
  8. Luz buys 5 packs of crayons and uses a $3 coupon. Luz pays $22. Let c be the price of one pack, in dollars. Which equation fits?

    • 5c + 3 = 22
    • c − 3 = 22
    • 5(c − 3) = 22
    • 5c − 3 = 22
  9. Pia is given 3c − 4 = 17, where c is the price of one can, in dollars. Which story matches that equation?

    • Pia's art club buys 3 cans of paint and a $4 brush. The club pays $17.
    • Pia's art club buys 1 can of paint and uses a $4 coupon. The club pays $17.
    • Pia's art club buys 4 cans of paint and uses a $3 coupon. The club pays $17.
    • Pia's art club buys 3 cans of paint and uses a $4 coupon. The club pays $17.
  10. Ren is given 5d + 2 = 27, where d is the number of days. Which story matches that equation?

    • Ren's sunflower seedling is 5 cm tall and grows 2 cm each day. After d days, it is 27 cm tall.
    • Ren's sunflower grows 5 cm each day, but a gust bends 2 cm off. After d days, it is 27 cm tall.
    • Ren's sunflower seedling is 2 cm tall and grows 1 cm each day. After d days, it is 27 cm tall.
    • Ren's sunflower seedling is 2 cm tall and grows 5 cm each day. After d days, it is 27 cm tall.
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7th grade Write an equation for a story worksheet – printable
Print: 123456

About this worksheet

Write an equation for a story. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can write 3w + 4 = 19 for "4 shells to start and 3 more each day", and 40 − 4x = 16 for a tub that drains.
  • I can tell 5x + 4 = 55 (the 4 is added once) from 5(x + 4) = 55 (every group has the 4), and write either one for a story.
  • I can pick the story that matches an equation, and say what a part of the equation stands for.

Standard: 7.EE.B.4a

Words to know

equation: A math sentence with an equal sign. Both sides have the same value.

variable: A letter for a number we do not know yet, like w for the weeks.

group: One of several equal parts, like one box or one week.

parentheses: The curved marks in 4(x + 3). They show that every group has the x and the 3.

total: How much there is at the end, which stands alone on one side.

start: How much there is before anything changes.

Common mistakes

Your child wrote the amount that happens once and the total but left out the part that repeats.

Your child used the right numbers but traded the amount that repeats with the amount that happens once.

Your child used the right numbers but the wrong sign between the parts.

What to say

Ask: how many times does this happen? That number goes with the letter.

Ask: which number happens again and again, and which happens once?

Ask: is this piece added to the total, or taken away from it?

Questions parents ask

What is the most common mistake with write an equation for a story?

Your child wrote the amount that happens once and the total but left out the part that repeats.

How can I help my child with write an equation for a story?

Ask: how many times does this happen? That number goes with the letter.

Are these 7th 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 grade 7 math

See all grade 7 math

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