6th Grade Math (Math 6) · Chapter 10 · Lesson 10.2 · Printable PDF

Inverse Operations and the Properties of Equality Worksheet with Answer Key

7 problems on inverse operations and the properties of equality: undoing a step, doing the same to both sides, naming the property, going back to a starting equation, a balance with washers, equivalent equations, and fixing mistakes. 3 pages, with a worked answer key.

7 problems3 pagesanswer key
Printable Inverse operations and the properties of equality worksheet with answer key - 6th Grade Math (Math 6) (Page 1 PDF preview)
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What's on the worksheet

  1. Fill in each blank with the operation and number that undoes the first step.
  2. Do each move to both sides of 18 + 6 = 24 and say if the new sentence is true.
  3. Say what to do to both sides of each equation and name the property.
    p + 2.4 = 9\dfrac{h}{7} = 3.55g = 3225 = d - 13\dfrac{3}{4} + k = 2
  4. Work backward to the equation Ava started with from one move.
    Subtracted 14 from both sides, got x = 9Divided both sides by 6, got y = 4.5Multiplied both sides by 3, got z = 12Added 2.5 to both sides, got w = 10
  5. Word problem: write an equation for washers balancing masses on a balance.
  6. Pick which equations are equivalent to x + 9 = 21 and name the move.
  7. Check each student's wrong answer and name the move that should have been made.

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Inverse operations and the properties of equality: the lesson ›

More Chapter 10 worksheets: One-step equations and inequalities