Algebra 1 Common Core Student Edition, Grade 8-9

Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses

Q Practice

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MATHEMATICAL

PRACTICES

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Use the Distributive Property to simplify each expression.

9. 6 (a + 10) 10. 8(4 + x) 11. (5 + ttr)5
   14. 12(2; - 6 )
   18. (5w- 15)2.1
   22. 0(3.7x — 4.21)


10. 10(9 — t)


11. (3 — 8 c) 1.5


12. (- 8 z- 10)(—1.5)


13. 16(7b + 6 )


14. i( 4 /- 8 )


15. 1 (_3__7 111 1 7 )d)^

See Problem 1.

12. (21 + 3)11
    16. (1 + 3d)9

20. e[lh + 1 )

24.1(1,-1)

Write each fraction as a sum or difference.

25.2 x + 7 17 + 5 n

29.

5

25 - 8 f

26.

30.

4

18x + 51

5 17

Simplify each expression.

33. -(2 0 + d) 34. -(-5 - 4y)


34. —(1 8 a - 1 7b) 38. -(2 .1 c - Ad)

Use mental math to find each product.

41.5.1 X 8 4 2.3X7.25

45. 3.9 X 6 46. 5 X 2.7

27.

31.

8 — 9x

3

22 - 2 n

28.

32.

49 See Problem 2.

4y — 12

2

42 ic + 14

35. -(9 - 7c)


36. — (—m + n


37. 299 X 3


38. 6.15 X 4

4* See Problem 3.

36. ( x + 15)

1. 4 0 .-(x + 3 y -3 )

See Problem 4.

44. 4 X 197
    48.6X9.1


45. Y o u b u y 50 o f y o u r f a v o r it e s o n g s f r o m a W e b s ite t h a t c h a rg e s $ .9 9 f o r e a c h s o n g.
    W h a t is t h e c o s t o f 50 so n g s? U s e m e n t a l m a th.


46. T h e p e r im e t e r o f a b a s e b a ll d ia m o n d is a b o u t 3 6 0 ft. I f y o u t a k e 12 la p s a r o u n d t h e
    d ia m o n d , w h a t is th e t o t a l d is ta n c e y o u r u n? U s e m e n t a l m a th.


47. O n e h u n d r e d a n d f iv e s tu d e n ts see a p la y. E a c h t ic k e t c o s ts $4 5. W h a t is t h e t o t a l
    a m o u n t t h e s tu d e n ts s p e n d f o r tic k e ts? U s e m e n t a l m a th.


48. S u p p o s e t h e d is ta n c e y o u t r a v e l t o s c h o o l is 5 m i. W h a t is t h e t o t a l d is ta n c e f o r
    197 t r ip s f r o m h o m e to s c h o o l? U s e m e n t a l m a th.

Simplify each expression by combining like terms.

53. llx + 9x 54. 8 y — 7 y


54. — n + An


55. —4 y 2 + 9 y 2


56. 2n + 1 - Am
    57. 5w2 + 12 ic 2


57. 6 c - 4 + 2c - 7


58. -7h + 3h2-A h -3

4» See Problem 5.

55. 5t — 71


56. 2x 2 - 9x 2
    61.5 — 3x + y + 6


57. 10ab + 2 ab2 — 9 ab

Write a word phrase for each expression. Then simplify each expression.

65.3(1-1) 66. A(d + 7) 67. |( 6 x-l)

50 Ch ap t er 1 Fo u n d at i o n s f o r A l g e b r a