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Grade 6 Introduction to Inequalities Worksheet with Answers

Grade 6 (US) · Year 7 (UK) · Class 6 (India) · Math

Unit 3: Expressions & EquationsEquations & InequalitiesCCSS 6.EE.B.8

Checking whether a value satisfies an inequality, writing inequalities from words and solving one-step inequalities. This free middle school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Introduction to Inequalities

Grade 6 · Math

Score___ / 12

Name

Class

Date

Learning goal: Equations & Inequalities · CCSS 6.EE.B.8

Directions: This worksheet has 2 parts. Read the instructions at the start of each part.

Example

Is x = 1 a solution of x + 8 ≥ 20? Answer yes or no.

Answer: no

RememberInequalities

x > 3 open circle: 3 is not includedx ≤ 3 closed circle: 3 is includedFlip the sign if you multiply or divide both sides by a negative number.
Part A

Yes or No? Tick one box for each.

YesNo
1Is x = 19 a solution of x + 6 < 8?
2Is x = 20 a solution of x + 9 < 25?
3Is x = 16 a solution of x + 2 > 23?
4Is x = 19 a solution of x + 4 ≤ 25?
5Is x = 7 a solution of x + 3 ≤ 8?
Part B

Solve each problem. Show your work, then write your answer in the box.

  1. 6

    Write an inequality: a number x is no less than 47.

    Answer
  2. 7

    Write an inequality: a number x is at most 16.

    Answer
  3. 8

    Write an inequality: a number x is more than 48.

    Answer
  4. 9

    Write an inequality: a number x is more than 25.

    Answer
  5. 10

    Solve: x + 14 > 25

    Answer
  6. 11

    Write an inequality: a number x is at least 42.

    Answer
  7. 12

    Solve: x + 20 < 35

    Answer

★ Challenge corner for fast finishers

Each scale balances. Scale 1: circle + square = 13; scale 2: square + triangle = 18; scale 3: circle + circle = 10. What is one triangle worth?

13Scale 118Scale 210Scale 3

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/6/inequalities_intro

Answer key (click to show)
  1. 1.no
  2. 2.no
  3. 3.no
  4. 4.yes
  5. 5.no
  6. 6.x ≥ 47
  7. 7.x ≤ 16
  8. 8.x > 48
  9. 9.x > 25
  10. 10.x > 11
  11. 11.x ≥ 42
  12. 12.x < 15
  13. ★10 (challenge corner)

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