Grade 8 · Math

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

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

Grade 8 Math Worksheet - Building Confidence

NameDate

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

Ari takes 2x off both bars of 5x + 2 > 2x + 14 and gets 3x + 2 > 14. What inequality gets x by itself?
Bo takes x off both bars of 4x - 3 ≤ x + 12 and gets 3x - 3 ≤ 12. What inequality gets x by itself?
Esme takes 2x off both bars of 6x + 1 ≥ 2x + 25 and gets 4x + 1 ≥ 25. What inequality gets x by itself?
4.
Kira solves 3x + 5 ≤ x + 13 and draws the answer on a number line marked every 1 from 0 to 10. Which picture is right?
- a closed circle at 4, shaded to the left
- an open circle at 4, shaded to the left
- an open circle at 4, shaded to the right
- a closed circle at 4, shaded to the right
5.
Luz solves 4x + 1 > 2x + 11 and draws the answer on a number line marked every 1 from 0 to 10. Which picture is right?
- a closed circle at 5, shaded to the left
- a closed circle at 5, shaded to the right
- an open circle at 5, shaded to the left
- an open circle at 5, shaded to the right
6.
Milo solves 5x - 2 ≥ 3x + 12 and draws the answer on a number line marked every 1 from 0 to 10. Which picture is right?
- a closed circle at 7, shaded to the right
- an open circle at 7, shaded to the right
- a closed circle at 7, shaded to the left
- an open circle at 7, shaded to the left
7.
Noah solves 2x + 9 < x + 16 and draws the answer on a number line marked every 1 from 0 to 10. Which picture is right?
- an open circle at 7, shaded to the right
- a closed circle at 7, shaded to the left
- an open circle at 7, shaded to the left
- a closed circle at 7, shaded to the right
8.
Ren tests four numbers in 4x + 1 < 2x + 9. Which number is a solution?
- 3
- 5
- 4
- 6
9.
Tala tests four numbers in 5x - 6 > 2x + 9. Which number is a solution?
- 7
- 3
- 5
- 4
10.
Zee tests four numbers in 3x + 2 ≥ x + 12. Which number is a solution?
- 5
- 3
- 4
- 2

8th grade Multi-step inequalities: solve, graph and write from a story worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

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

What your child will learn

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)

Words to know

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 >).

Common mistakes

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".

What to say

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?

Questions parents ask

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.

More grade 8 math

See all grade 8 math

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