Grade 8 · Math

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

6 printable versionsOn Level10 questions · answer keyFree · no account

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

Grade 8 Math Worksheet

NameDate

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

Bo gets 3x - 2 < 7x + 10 on a puzzle card. What inequality gets x by itself?
Jun gets x + 9 ≤ 4x - 3 on a puzzle card. What inequality gets x by itself?
Luz's challenge card says -3(x + 2) ≤ 9. What inequality gets x by itself?
Milo's challenge card says 4 - 5x ≥ 19. What inequality gets x by itself?
Noah's challenge card says -(x + 4) < 2. What inequality gets x by itself?
Pia spreads the bracket in 3(x - 2) ≤ x + 8 first. What inequality gets x by itself?
Ren spreads the bracket in 2(x + 5) > 5x - 2 first. What inequality gets x by itself?
Zee's bean plant is 4 cm, growing 3 cm a week; the pea plant is 16 cm, growing 1 cm. What inequality shows the weeks w when the bean plant is taller?
Ari: comic at page 20, reading 12 a day; novel at page 62, reading 5 a day. What inequality shows the days d when the comic page is at least the novel page?
Esme's sunny snowbank is 40 cm, losing 3 cm a day; the shady one is 26 cm, losing 1 cm. What inequality shows the days d when the sunny bank is less deep?

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.

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records