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Grade 8 · Math

8th grade Write an equation for a story, and a story for an equation 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, and a story for an equation

Grade 8 Math Worksheet - Building Confidence

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

  1. Ari's bean plant is 5 cm and grows 3 cm a week; the pea plant is 11 cm and grows 1 cm a week. Which equation shows when they match after w weeks?

    • 3w + 5 = w + 11
    • 3w + w = 5 + 11
    • 3w + 11 = w + 5
    • 5w + 3 = 11w + 1
  2. Esme's red kite is at 6 m, climbing 4 m a minute; the blue kite is at 18 m, climbing 1 m a minute. Which equation shows when they are level after x minutes?

    • 4x + 6 = x + 18
    • 4x + 18 = x + 6
    • 4x + x = 6 + 18
    • 6x + 4 = 18x + 1
  3. Jun's sunflower is 8 cm and grows 5 cm a week; the bean plant is 20 cm and grows 2 cm a week. Which equation tells when they are equal after w weeks?

    • 5w + 2w = 8 + 20
    • 5w + 20 = 2w + 8
    • 8w + 5 = 20w + 2
    • 5w + 8 = 2w + 20
  4. Kira's sprout is 2 cm and grows 4 cm a week; the class plant is 17 cm and grows 1 cm a week. After how many weeks are they equal?

  5. Milo's red kite is at 4 m and climbs 5 m a minute; the blue kite is at 18 m and climbs 3 m a minute. After how many minutes are they level?

  6. Noah's bean plant is 1 cm and grows 8 cm a week; the pea plant is 26 cm and grows 3 cm a week. After how many weeks are they equal?

  7. Pia's bean plant starts at 5 cm and grows 3 cm a week. Solving 3w + 5 = w + 13 gives w = 4. How tall is each plant then, in cm?

  8. Ren builds two block towers. One starts at 6 blocks and gains 5 a day; solving 5d + 6 = 2d + 18 gives d = 4. How many blocks tall is each tower then?

  9. Tala's red kite starts at 9 m and climbs 4 m a minute. Solving 4x + 9 = x + 24 gives x = 5. How high is each kite then, in m?

  10. Zee's sunflower starts at 2 cm and grows 6 cm a week. Solving 6w + 2 = 2w + 22 gives w = 5. How tall is each plant then, in cm?

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8th grade Write an equation for a story, and a story for an equation worksheet – printable
Print: 123456

About this worksheet

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

What your child will learn

  • I can write an equation such as 3w + 5 = w + 11 for a story where two amounts change, and pick the story that fits an equation.
  • I can solve it with the bars and say what the answer means in the story.
  • I can tell when two amounts never match: the letter pieces cancel and leave a false line.

Standard: state-only (CCSS 7.EE.B.4a)

Words to know

start: The amount at time 0: the plain piece of the bar.

rate: How much the amount changes each step: the number with the letter.

equation: Two bars of equal value: the moment the two amounts match.

read back: Put the answer into the story to find the amount.

Common mistakes

Your child mixed up the starting amount and the amount added each time.

Your child put each starting amount with the other thing's rate.

Your child added the letter pieces from the two sides instead of taking the same pieces off both.

What to say

Ask: which number is there at the start, before any time passes?

Ask: which thing starts at that amount?

Ask: when the same pieces come off both bars, do the bars stay equal?

Questions parents ask

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

Your child mixed up the starting amount and the amount added each time.

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

Ask: which number is there at the start, before any time passes?

Are these 8th 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 8 math

See all grade 8 math

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