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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.
6.Solve 7 + y = 16. How many unit jumps are needed to get from 7 to 16? State y.
7.Solve m - 6 = 4. On the number line, start at 4 and make the jump that reverses subtracting 6. What is m?
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.
9.Solve p + 8 = 21. Explain how a number line helps you work out p.
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