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Grade 7 Balance Scale Puzzles Worksheet with Answers

Grade 7 (US) · Year 8 (UK) · Class 7 (India) · Math

Unit 7: Going FurtherThinking & Problem SolvingChallenge

Working out what each shape is worth from balanced scales — algebra thinking with pictures. 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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Balance Scale Puzzles

Grade 7 · Math

Score___ / 12

Name

Class

Date

Learning goal: Thinking & Problem Solving

Directions: Look carefully at each picture, then write your answer in the box.

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

    Each scale balances. What is one triangle worth?

    29Scale 127Scale 230Scale 3
    Answer
  2. 2

    Each scale balances. What is one triangle worth?

    20Scale 115Scale 222Scale 3
    Answer
  3. 3

    Each scale balances. What is one triangle worth?

    25Scale 118Scale 222Scale 3
    Answer
  4. 4

    Each scale balances. What is one triangle worth?

    16Scale 120Scale 218Scale 3
    Answer
  5. 5

    Each scale balances. What is one triangle worth?

    17Scale 118Scale 24Scale 3
    Answer
  6. 6

    Each scale balances. What is one triangle worth?

    19Scale 110Scale 224Scale 3
    Answer
  7. 7

    Each scale balances. What is one triangle worth?

    10Scale 120Scale 24Scale 3
    Answer
  8. 8

    Each scale balances. What is one triangle worth?

    17Scale 111Scale 220Scale 3
    Answer
  9. 9

    Each scale balances. What is one triangle worth?

    6Scale 19Scale 28Scale 3
    Answer
  10. 10

    Each scale balances. What is one triangle worth?

    19Scale 110Scale 222Scale 3
    Answer
  11. 11

    Each scale balances. What is one triangle worth?

    9Scale 118Scale 28Scale 3
    Answer
  12. 12

    Each scale balances. What is one triangle worth?

    20Scale 114Scale 220Scale 3
    Answer

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Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/7/balance_puzzles

Answer key (click to show)
  1. 1.13
  2. 2.6
  3. 3.4
  4. 4.13
  5. 5.3
  6. 6.3
  7. 7.12
  8. 8.4
  9. 9.7
  10. 10.2
  11. 11.13
  12. 12.4

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  • Works well as a bell-ringer, exit ticket, homework set or quick quiz.
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Guides for teaching Balance Scale Puzzles

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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