Word problems that need two equations

Grade 8 Math Worksheet - Challenge Me

NameDate

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

  1. Noah has two sunflower seedlings, 5 cm and 9 cm tall. Both grow 2 cm a week. Will they ever be the same height?

    • Never: they are never equal.
    • Always: they are equal at every time.
    • Exactly once: they are equal at one time.
  2. Two snowbanks by Pia's school are 40 cm and 28 cm deep. Both melt 3 cm a day in the spring sun. Will they ever be the same depth?

    • Exactly once: they are equal at one time.
    • Never: they are never equal.
    • Always: they are equal at every time.
  3. Tala tracks two copies of one reading plan: one starts at page 20 with 15 pages a day; the other reaches page 50 after 2 days at 15 a day. Will they match?

    • Always: they are equal at every time.
    • Never: they are never equal.
    • Exactly once: they are equal at one time.
  4. Zee's bean plant and pea plant are both 12 cm today. The bean grows 3 cm a week and the pea 1 cm a week. How often are they the same height?

    • Never: they are never equal.
    • Always: they are equal at every time.
    • Exactly once: they are equal at one time.
  5. Two kites are both at 15 m when Ari starts a timer. The red one climbs 2 m a minute and the blue one 4 m a minute. How often are they level?

    • Exactly once: they are equal at one time.
    • Always: they are equal at every time.
    • Never: they are never equal.
  6. Kira's sunflower and bean plant are 150 cm tall together, and the sunflower is 90 cm taller. How tall is each? Give (sunflower cm, bean cm).

  7. Two snowdrifts by Milo's door are 84 cm deep together, and one is 20 cm deeper than the other. How deep is each? Give (deep cm, small cm).

  8. Noah's bean plant is 4 cm and grows 3 cm a week; the pea plant is 10 cm and grows 2 cm a week. Write y for each after x weeks: bean, comma, pea.

  9. Pia sees a sunny snowbank of 36 cm melting 4 cm a day, and a shady one of 20 cm melting 2 cm a day. Write y for each after x days: sunny, comma, shady.

  10. Ren reels in two kites: red at 30 m, down 2 m a minute; blue at 33 m, down 3 m a minute. Write y for each after x minutes: red, comma, blue.

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Word problems that need two equations

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

  1. Noah has two sunflower seedlings, 5 cm and 9 cm tall. Both grow 2 cm a week. Will they ever be the same height?

    • Never: they are never equal.
    • Always: they are equal at every time.
    • Exactly once: they are equal at one time.
  2. Two snowbanks by Pia's school are 40 cm and 28 cm deep. Both melt 3 cm a day in the spring sun. Will they ever be the same depth?

    • Exactly once: they are equal at one time.
    • Never: they are never equal.
    • Always: they are equal at every time.
  3. Tala tracks two copies of one reading plan: one starts at page 20 with 15 pages a day; the other reaches page 50 after 2 days at 15 a day. Will they match?

    • Always: they are equal at every time.
    • Never: they are never equal.
    • Exactly once: they are equal at one time.
  4. Zee's bean plant and pea plant are both 12 cm today. The bean grows 3 cm a week and the pea 1 cm a week. How often are they the same height?

    • Never: they are never equal.
    • Always: they are equal at every time.
    • Exactly once: they are equal at one time.
  5. Two kites are both at 15 m when Ari starts a timer. The red one climbs 2 m a minute and the blue one 4 m a minute. How often are they level?

    • Exactly once: they are equal at one time.
    • Always: they are equal at every time.
    • Never: they are never equal.
  6. Kira's sunflower and bean plant are 150 cm tall together, and the sunflower is 90 cm taller. How tall is each? Give (sunflower cm, bean cm).

    (120, 30)
  7. Two snowdrifts by Milo's door are 84 cm deep together, and one is 20 cm deeper than the other. How deep is each? Give (deep cm, small cm).

    (52, 32)
  8. Noah's bean plant is 4 cm and grows 3 cm a week; the pea plant is 10 cm and grows 2 cm a week. Write y for each after x weeks: bean, comma, pea.

    y = 3x + 4, y = 2x + 10
  9. Pia sees a sunny snowbank of 36 cm melting 4 cm a day, and a shady one of 20 cm melting 2 cm a day. Write y for each after x days: sunny, comma, shady.

    y = -4x + 36, y = -2x + 20
  10. Ren reels in two kites: red at 30 m, down 2 m a minute; blue at 33 m, down 3 m a minute. Write y for each after x minutes: red, comma, blue.

    y = -2x + 30, y = -3x + 33