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

Answer Key - Grade 8 Math Worksheet

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

1. 1.

   Ari's red kite is at 10 m, climbing 3 m a minute; the blue one is at 25 m, climbing 1.5 m. What equation shows when they are level (x minutes)?

   3x + 10 = 1.5x + 25
2. 2.

   Bo's bean plant is 4 cm, growing 2.5 cm a week; the pea plant is 12 cm, growing 0.5 cm a week. What equation shows when they are equal (w weeks)?

   2.5w + 4 = 0.5w + 12
3. 3.

   By Jun's door, a sunny snowbank is 30 cm, losing 4 cm a day; a shady one is 18 cm, losing 1 cm a day. What equation shows when they are equal (d days)?

   -4d + 30 = -d + 18
4. 4.

   Kira's bean plant is 3 cm and grows 2.5 cm a week; the pea plant is 11 cm and grows 0.5 cm a week. When are they equal? What is w?

   4
5. 5.

   Two buckets sit under dripping taps at Luz's camp: one has 2 L and gains 3.5 L a day, the other has 17 L and gains 0.5 L a day. What is d?

   5
6. 6.

   Milo's red kite is at 2 m, climbing 1.75 m a minute; the blue kite is at 8 m, climbing 0.25 m a minute. What is x?

   4
7. 7.

   Snowbanks by Noah's school: one is 40 cm, losing 2 cm a day; the other is 61 cm, losing 5 cm a day. After how many days are they equal?

   7
8. 8.

   Ren has the equation 4d + 15 = 2d + 35, with d the number of days. Which story fits it?

   • One tower is 15 blocks tall and gains 4 blocks a day; another is 35 blocks tall and gains 2 blocks a day.
   • One tower is 4 blocks tall and gains 15 blocks a day; another is 2 blocks tall and gains 35 blocks a day.
   • One tower is 35 blocks tall and gains 4 blocks a day; another is 15 blocks tall and gains 2 blocks a day.
   • One tower is 15 blocks tall and gains 4 blocks a day; when is it 35 blocks tall?
9. 9.

   Tala has the equation 5x + 2 = 2x + 20, with x the number of minutes. Which story fits it?

   • One kite is 5 m and climbs 2 m a minute; another is 2 m and climbs 20 m a minute.
   • One kite is 2 m and climbs 5 m a minute; when is it 20 m?
   • One kite is 2 m and climbs 5 m a minute; another is 20 m and climbs 2 m a minute.
   • One kite is 20 m and climbs 5 m a minute; another is 2 m and climbs 2 m a minute.
10. 10.

    Zee has the equation 6w + 4 = 3w + 19, with w the number of weeks. Which story fits it?

    • One sunflower is 6 cm and grows 4 cm a week; another is 3 cm and grows 19 cm a week.
    • One sunflower is 4 cm and grows 6 cm a week; when is it 19 cm?
    • One sunflower is 4 cm and grows 6 cm a week; another is 19 cm and grows 3 cm a week.
    • One sunflower is 19 cm and grows 6 cm a week; another is 4 cm and grows 3 cm a week.