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Variables on Number Lines

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Variables on Number Lines

Use letters to represent unknown numbers, write one-step equations and solve them by reasoning about number-line jumps.

Variables and equations

Choose an answer for each question. For the select-all question, more than one option is correct.

1.A number of stickers increases from 12 to 19. How many stickers were added?
  • 6
  • 7
  • 8
  • 31
2.Which statement best describes a variable in an equation?
  • A letter that represents a number
  • A symbol that always means zero
  • An operation such as addition
  • A number that cannot change
3.Select every quantity that could vary.
  • The number of books in a library
  • The temperature in Wellington tomorrow
  • The number 14 printed on a sign
  • The distance travelled on a trip
4.Match each equation to the value that makes it true.
  • a + 6 = 15
  • b - 5 = 8
  • 4 + c = 10
  • d - 7 = 2
  • 13
  • 9
  • 6
  • 9

Solve with number lines

Use the number line to help show how you find each unknown. Write the value of the variable.

5.Solve x + 5 = 13. Use the number line to show the jump from 5 to 13, then give x.
0246810121415
6.Solve 7 + y = 16. How many unit jumps are needed to get from 7 to 16? State y.
024681012141618
7.Solve m - 6 = 4. On the number line, start at 4 and make the jump that reverses subtracting 6. What is m?
0246810121415
8.Levi has $h in her wallet. She is given another $4 and now has $15. Write an equation and use a number line to find h.
024681012141618
9.Solve p + 8 = 21. Explain how a number line helps you work out p.
024681012141618202224

3 printable pages

  • Variables on Number Lines, page 1 of 3: Variables and equations

    Page 1

  • Variables on Number Lines, page 2 of 3: Solve with number lines

    Page 2

  • Variables on Number Lines, page 3 of 3: 9. Solve p + 8 = 21. Explain how a number line helps you work out p.

    Page 3

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