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4-1

Name

Date

Simplify each expression.

1. 11m - 9m = 2m 2. y + 8y = 9y

3. 13s - s =

12s

4. d + 2d + d = 4d 5. (9b - b) - 2b = 6b 6. 104z + z = 105z

7. 21 - (10 - 5) = 16 8. (900 - 100) - 100 = 700 9. 90 - (50 - 1) =

10. 18 ÷ (27 ÷ 9) = 6 11. (63 ÷ 7) ÷ 9 = 1 12. 40 ÷ (36 ÷ 9) =

41

10

13. (48 ÷ 6) ⋅ (11 - 9) = 16 14. (3 + 17) ÷ (16 - 12) = 5

15. (15 + 10) - (50 ÷ 10) = 20 16. (19 + 11) ÷ (9 - 6) =

10

Evaluate.

17. c = 3

18. r = 2

19. w = 7

4 ⋅ (7 - c)

(42 ÷ 7) ⋅ (r + 1)

(72 ÷ 9) ⋅ w

16

18

56

20. m = 0

21. h = 14

22. p = 19

(12 ÷ 3) ⋅ (5 - m)

45 ÷ (h - 5)

(p + 1) ÷ (9 - 4)

20

5

4

23. v = 6

24. t = 1

25. g = 10

© Houghton Mifflin Harcourt Publishing Company

(18 - 9) + (2 + v)

17

Solve for or n.

26. 7 ⋅ (3 + 2) = 7 ⋅

= 5

29. 6 ⋅ (8 - 8) = n

(7 ⋅ 2) ÷ t

14

27. (9 - 1) ⋅ 4 = ⋅ 4

= 8

30. (12 - 6) ÷ 3 = n

(g + 90) ÷ (17 - 13)

25

28. 8 ⋅ (4 + 5) = ⋅ 9

= 8

31. (21 ÷ 7) ⋅ (5 + 5) = n

n =

0

n =

2

n =

30

UNIT 4 LESSON 1 Properties and Algebraic Notation 89

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