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Algebra Adventures Worksheet

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Algebra Adventures Worksheet

Solve one-step and two-step equations by using inverse operations. Show your working where asked.

Choose the mystery number

Select the value that makes each equation true.

1.In the equation a + 9 = 16, what is a?
  • a = 5
  • a = 7
  • a = 9
  • a = 25
2.Finn puts some apples into a crate, then adds 4 more. The crate now holds 13 apples. Which value of b solves b + 4 = 13?
  • b = 9
  • b = 17
  • b = 4
  • b = 52
3.Solve c - 6 = 8.
  • c = 2
  • c = 14
  • c = 48
  • c = 6
4.Which value of d makes 4d = 28 true?
  • d = 7
  • d = 24
  • d = 32
  • d = 112

Show your working

Use an inverse operation to solve each equation. Record the answer and the steps you used.

5.Solve r + 8 = 19. Show your working.
6.Arjun packs the same number of pears into each of 5 boxes. There are 35 pears altogether. Write and solve an equation for the number of pears in each box.
7.Solve t - 5 = 12. Show the operation you use and check your result in the original equation.

Algebra in the orchard

Use equations to represent the situations below.

8.Hugo had some lemons ready for market. After selling 7, he had 18 left. Let l be the number he had at first. Write an equation and find l.
9.A rectangular orchard sign has a perimeter of 34 cm and a length of 11 cm. Use P = 2l + 2w to calculate its width. Show your working.
10.In algebra, what does a variable represent? Give a brief definition.

2 printable pages

  • Algebra Adventures Worksheet, page 1 of 2: Choose the mystery number, Show your working

    Page 1

  • Algebra Adventures Worksheet, page 2 of 2: Show your working, Algebra in the orchard

    Page 2

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