Write an equation for a story, and a story for an equation

Grade 8 Math Worksheet - Challenge Me

NameDate

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

  1. Ari has 3 gift packs, each with x stickers and 2 bonus stickers. That equals 2 sheets of x stickers and 9 loose ones. What equation fits, with x for the stickers?

  2. Bo fills 4 boxes, each with x crayons and 3 pencils. That equals 2 tubs of x crayons and 30 loose crayons. What equation fits, with x for the crayons in a box or tub?

  3. Jun's bean plant is 4 cm and grows 2.5 cm a week; the pea plant is 13 cm and grows 1 cm. When are they equal, and how tall? Type: weeks, cm.

  4. Kira is on page 15 of a comic, reading 9 a day, and page 50 of a novel, reading 4 a day. When do the pages match, and at what page? Type: days, page.

  5. Luz's red kite is at 7 m, climbing 3 m a minute; the blue one is at 16 m, climbing 1.5 m. When are they level, and how high? Type: minutes, m.

  6. Milo's sprout is 14 cm and grows 1/2 cm a week; a bean plant is 2 cm and grows 2 cm a week. What is w?

  7. Two buckets sit under dripping taps in Noah's garden: one has 2 L and gains 5/2 L a day; the other has 12 L and gains 1/2 L a day. What is d?

  8. Pia's red kite is at 4 m, climbing 3/2 m a minute; the blue kite is at 11 m, climbing 1/3 m. What is x?

  9. Ren's two bean plants are 5 cm and 11 cm, and both grow 2 cm a week. Ren writes 2w + 5 = 2w + 11. When are they the same height?

    • Always: they change at the same rate.
    • Never: they stay 6 cm apart.
    • After 6 weeks: the gap is 6.
    • After 0 weeks: the w pieces cancel.
  10. Tala is on page 15 of one book and page 40 of another, reading 10 pages a day in each. Tala writes 10d + 15 = 10d + 40. When do the pages match?

    • Never: they stay 25 pages apart.
    • After 25 days: the gap is 25.
    • After 0 days: the d pieces cancel.
    • Always: they change at the same rate.
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Write an equation for a story, and a story for an equation

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

  1. Ari has 3 gift packs, each with x stickers and 2 bonus stickers. That equals 2 sheets of x stickers and 9 loose ones. What equation fits, with x for the stickers?

    3(x + 2) = 2x + 9
  2. Bo fills 4 boxes, each with x crayons and 3 pencils. That equals 2 tubs of x crayons and 30 loose crayons. What equation fits, with x for the crayons in a box or tub?

    4(x + 3) = 2x + 30
  3. Jun's bean plant is 4 cm and grows 2.5 cm a week; the pea plant is 13 cm and grows 1 cm. When are they equal, and how tall? Type: weeks, cm.

    6, 19
  4. Kira is on page 15 of a comic, reading 9 a day, and page 50 of a novel, reading 4 a day. When do the pages match, and at what page? Type: days, page.

    7, 78
  5. Luz's red kite is at 7 m, climbing 3 m a minute; the blue one is at 16 m, climbing 1.5 m. When are they level, and how high? Type: minutes, m.

    6, 25
  6. Milo's sprout is 14 cm and grows 1/2 cm a week; a bean plant is 2 cm and grows 2 cm a week. What is w?

    8
  7. Two buckets sit under dripping taps in Noah's garden: one has 2 L and gains 5/2 L a day; the other has 12 L and gains 1/2 L a day. What is d?

    5
  8. Pia's red kite is at 4 m, climbing 3/2 m a minute; the blue kite is at 11 m, climbing 1/3 m. What is x?

    6
  9. Ren's two bean plants are 5 cm and 11 cm, and both grow 2 cm a week. Ren writes 2w + 5 = 2w + 11. When are they the same height?

    • Always: they change at the same rate.
    • Never: they stay 6 cm apart.
    • After 6 weeks: the gap is 6.
    • After 0 weeks: the w pieces cancel.
  10. Tala is on page 15 of one book and page 40 of another, reading 10 pages a day in each. Tala writes 10d + 15 = 10d + 40. When do the pages match?

    • Never: they stay 25 pages apart.
    • After 25 days: the gap is 25.
    • After 0 days: the d pieces cancel.
    • Always: they change at the same rate.