Multi-step inequalities: solve, graph and write from a story

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

1. 1.

   Jun's bean plant is 2 cm, growing 3 cm a week; the pea plant is 14 cm, growing 1 cm. After how many whole weeks, at the soonest, is the bean plant taller?

   7
2. 2.

   Two buckets drip-fill at Kira's camp: one holds 3 L, gaining 2.5 L a day; the other 14 L, gaining 0.5 L. After how many whole days, at the soonest, does the first hold more?

   6
3. 3.

   Milo is on page 1 of a comic, reading 5 pages a day, and page 12 of a novel, reading 2 a day. When, in whole days at the soonest, is the comic page higher?

   4
4. 4.

   Noah's fraction card says (1/2)x + 6 > (1/4)x + 8. What inequality gets x by itself?

   x > 8
5. 5.

   Pia's fraction card says (2/3)x - 1 ≤ (1/3)x + 3. What inequality gets x by itself?

   x ≤ 12
6. 6.

   Ren's fraction card says 0.75x + 2 ≥ 0.25x + 5. What inequality gets x by itself?

   x ≥ 6
7. 7.

   Zee meets 12 < -3x + 6, with x on the right side. What inequality gets x by itself?

   x < -2
8. 8.

   Ari meets -8 ≥ 2x + 4, with x on the right side. What inequality gets x by itself?

   x ≤ -6
9. 9.

   Bo meets 5 ≤ -x + 9, with x on the right side. What inequality gets x by itself?

   x ≤ 4
10. 10.

    Esme meets -1 > 4x + 11, with x on the right side. What inequality gets x by itself?

    x < -3