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. 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. 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. 3.

   Esme fills 2 shelves, each with x books and 5 comics. That equals one cart of x books and 18 comics. What equation fits, with x for the books?

   2(x + 5) = x + 18
4. 4.

   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
5. 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. 6.

   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
7. 7.

   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
8. 8.

   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?

   • After 0 weeks: the w pieces cancel.
   • Always: they change at the same rate.
   • Never: they stay 6 cm apart.
   • After 6 weeks: the gap is 6.
9. 9.

   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?

   • Always: they change at the same rate.
   • After 25 days: the gap is 25.
   • After 0 days: the d pieces cancel.
   • Never: they stay 25 pages apart.
10. 10.

    Two block towers by Zee's window are 30 and 24 blocks tall, and both gain 3 blocks a day. Zee writes 3d + 30 = 3d + 24. When are they equal?

    • After 0 days: the d pieces cancel.
    • Always: they change at the same rate.
    • Never: they stay 6 blocks apart.
    • After 6 days: the gap is 6.