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Grade 6 Two-Step Equations Worksheet with Answers

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

Unit 6: Going FurtherAdvanced: Grade 7 PreviewCCSS 7.EE.B.4aAdvanced

Solving equations like 3x − 7 = 11 and turning word problems into two-step equations. 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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Two-Step Equations

Grade 6 · Math

Score___ / 12

Name

Class

Date

Learning goal: Advanced: Grade 7 Preview · CCSS 7.EE.B.4a

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

Example

Solve: 3x - 13 = -10

Answer: x = 1

RememberSolving equations

x + 410An equation is a balance.Do the same to both sides:x + 4 = 10x + 4 − 4 = 10 − 4x = 6 Check: 6 + 4 = 10 ✓
  1. 1

    Solve: x/5 - 6 = 3

    Answer
  2. 2

    A gym charges a $5 joining fee plus $5 per class. Mei paid $40. How many classes did they take?

    Show your work
    Answer
  3. 3

    A gym charges a $14 joining fee plus $5 per class. Jayden paid $29. How many classes did they take?

    Show your work
    Answer
  4. 4

    A gym charges a $4 joining fee plus $3 per class. Maria paid $16. How many classes did they take?

    Show your work
    Answer
  5. 5

    A gym charges a $10 joining fee plus $7 per class. Maria paid $94. How many classes did they take?

    Show your work
    Answer
  6. 6

    A gym charges a $9 joining fee plus $5 per class. Maria paid $69. How many classes did they take?

    Show your work
    Answer
  7. 7

    Solve: x/3 - 16 = -17

    Answer
  8. 8

    Solve: 9x - 12 = 87

    Answer
  9. 9

    A gym charges a $6 joining fee plus $4 per class. Priya paid $50. How many classes did they take?

    Show your work
    Answer
  10. 10

    Solve: 7x - 11 = -74

    Answer
  11. 11

    Solve: x/5 + 6 = 13

    Answer
  12. 12

    A gym charges a $7 joining fee plus $6 per class. Ines paid $49. How many classes did they take?

    Show your work
    Answer

★ Challenge corner for fast finishers

A pen and a notebook cost $18 together. The notebook costs $4 more than the pen. How much does the pen cost?

How did I do?

Teacher's comments

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

Answer key (click to show)
  1. 1.x = 45
  2. 2.7
  3. 3.3
  4. 4.4
  5. 5.12
  6. 6.12
  7. 7.x = -3
  8. 8.x = 11
  9. 9.11
  10. 10.x = -9
  11. 11.x = 35
  12. 12.7
  13. ★$7 (challenge corner)

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Guides for teaching Two-Step Equations

Order of Operations (PEMDAS / BODMAS): Rules, Examples and Common MistakesWhy multiplication doesn't always come before division, how exponents and negatives trip students up, and worked examples you can check.Adding and Subtracting Fractions: A Step-by-Step Guide for Grades 5–6Like and unlike denominators, mixed numbers, and the three mistakes that cause most wrong answers — with worked examples.How to Solve Math Word Problems: A 4-Step MethodRead, plan, solve, check — a simple routine for any word problem, with worked examples and the keyword trap to avoid.

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