Grade 8 · Math

8th grade Multi-step inequalities: solve, graph and write from a story worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

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

Grade 8 Math Worksheet - Challenge Me

NameDate

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

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?
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?
Luz's red kite is at 2 m, climbing 5 m a minute; the blue kite is at 23 m, climbing 2 m. After how many whole minutes, at the soonest, is the red kite higher?
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?
Noah's fraction card says (1/2)x + 6 > (1/4)x + 8. What inequality gets x by itself?
Tala's fraction card says 2.5x - 4 < 0.5x + 6. What inequality gets x by itself?
Zee meets 12 < -3x + 6, with x on the right side. What inequality gets x by itself?
Ari meets -8 ≥ 2x + 4, with x on the right side. What inequality gets x by itself?
Bo meets 5 ≤ -x + 9, with x on the right side. What inequality gets x by itself?
Esme meets -1 > 4x + 11, with x on the right side. What inequality gets x by itself?

Multi-step inequalities: solve, graph and write from a story. Every version has 10 questions, and the answer key prints on the second page.

I can solve an inequality such as 4x − 3 ≤ x + 12 and write the answer as x ≤ 5.
I can draw the answer on a number line and say whether a number is a solution.

Standard: state-only (CCSS 7.EE.B.4b)

inequality: Two sides that are not equal: one is at least or at most the other.

solution: Every number that makes the inequality true.

closed dot: The boundary number is a solution too (≤ or ≥).

open dot: The boundary number is not a solution (< or >).

Your child added the plain number to the other side instead of taking it off.

Your child flipped the inequality sign when dividing by a positive number.

Your child mixed up "greater than" and "greater than or equal to".

Ask: to undo + 5 on both bars, what do you do?

Ask: does sharing both sides out by 3 change which side is bigger?

Ask: is the boundary number itself allowed?

What is the most common mistake with multi-step inequalities: solve, graph and write from a story?

Your child added the plain number to the other side instead of taking it off.

How can I help my child with multi-step inequalities: solve, graph and write from a story?

Ask: to undo + 5 on both bars, what do you do?

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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