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Solving Simple Equations

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Solving Simple Equations

Solve each equation by keeping both sides balanced. Show your inverse operation, then check your solution by substitution where asked.

Spot the moves

Use inverse operations to undo what has been done to the variable.

1.In the equation 4p + 9 = 25, identify the variable and the constant added to it.
2.A balance is described by x + 2 = 7. Which move will isolate x while keeping the equation balanced?
  • Add 2 to both sides
  • Subtract 2 from both sides
  • Multiply only the left side by 2
  • Subtract 7 from the left side only
3.Choose every action that keeps an equation balanced.
  • Add 5 to both sides
  • Divide both sides by 3
  • Add 5 to only the left side
  • Subtract 2 from both sides
4.Match each equation with the inverse operation needed first to isolate the variable.
  • a + 6 = 14
  • 5b = 35
  • c - 4 = 9
  • Add 4 to both sides
  • Subtract 6 from both sides
  • Divide both sides by 5

Solve and check

Show the inverse operation and write the value of the variable.

5.Ari has some footy cards. After getting 8 more, Ari has 21 cards. Solve n + 8 = 21 to find how many cards Ari had at first.
6.Solve m - 7 = 12. Show the inverse operation and then substitute your answer into the original equation to check it.
7.A tray holds 6 equal rows of muffins, with 42 muffins altogether. Solve 6r = 42 to find the number of muffins in each row.
8.Solve 8 = 2k. Write the value of k and check by substituting it into 2k.

Two-step challenge

Undo addition or subtraction first, then undo multiplication or division.

9.Solve 3x + 4 = 19. Show both steps and check your solution in the original equation.
10.Kirra solves 2y - 5 = 13 and writes 2y = 8, so y = 4. Is Kirra correct? Explain the error and give the correct solution.

3 printable pages

  • Solving Simple Equations, page 1 of 3: Spot the moves

    Page 1

  • Solving Simple Equations, page 2 of 3: Solve and check, Two-step challenge

    Page 2

  • Solving Simple Equations, page 3 of 3: 10. Kirra solves 2y - 5 = 13 and writes 2y = 8, so y = 4. Is Kirra correct? Explain the…

    Page 3

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