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Algebra Patterns and Equations

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Algebra Patterns and Equations

Decide whether number sentences are true, find missing values, and describe how number patterns grow.

Check the number sentences

Choose whether each statement is true or false.

1.Is 9 + 8 = 17 true or false?

2.Is 42 ÷ 7 = 8 true or false?

3.Is 6 × 8 = 48 true or false?

4.Is 31 − 14 = 18 true or false?

Find the missing values

Use the inverse operation or work out what makes each equation correct.

5.58 + □ = 91. What number belongs in the box?

6.84 − □ = 39. What number belongs in the box?

7.□ × 7 = 56. What number belongs in the box?

8.63 ÷ □ = 9. What number belongs in the box?

9.Check whether 318 + 46 − 27 = 337 is correct. Show how you checked.

Growing number patterns

Look for how the numbers change from one term to the next.

10.A pattern begins 4, 9, 14, 19, 24. Describe the rule, then give the 6th and 8th terms.

Position

Term

_____

11.At a Matariki celebration, Hana arranges lanterns in rows. The first row has 6 lanterns, the second has 10, and the third has 14. If the pattern continues, how many lanterns will be in the 7th row?

12.A sequence starts 3, 8, 15, 24, 35. The increases are not all the same. Describe a rule that fits the sequence, then write the next two terms.

13.Make your own growing number pattern. Write five terms and describe the rule you used.