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

Practice S o lv e e a c h e q u a t io n. G r a p h a n d c h e c k y o u r s o lu t io n s.

MATHEMATICAL

PRACTICES

Apply

See Problem 1.

9. | * | = | 10. 4 =|y| 11. |n | + 3 = 7 12. 7 = |s| - 3
   ro 1 i-HOII 1 CM 14. 5|d
   | = 2 0 1 5. - 3 | m | = - 9 16. |y| + 3 = 3

Solve each equation. If t h e r e is n o s o l u t i o n , w r i t e no solution. See Problems 2 and 3.

17. |r — 8 1 = 5 18. |c + 4| =6 19. 2 = |g + 3 |


18. 3 = m + 2| 21. -2 |7 d | = 14 22.-3\2w\ = -12


19. 3 1 — 3 1 = 9 24. 2 |d + 4| = 8 25. |4 /+ 11 — 2 = 5


20. |3 t— 2| + 6 = 2

r\i 1 ~cn 1 i-HII i-HrH

28. 3|x + 2| + 4 = 13


29. -4\k\ = 12 3 0. | —3 « | - 2 = 4 3 1. —4 \ k + l | = 16

S o lv e a n d g r a p h e a c h i n e q u a l i t y. See Problems 4 and 5.

32. |x| > 3 33. |x| < 5 34. |x + 3| < 5


33. |y + 8| > 3 36. |y - 2 | < 1 37. |p -7 | < 3


34. 1 2 c — 5 1 < 9 39. |31+ 11 > 8 40.\4w + 1 1 > 11


35. \5t — 4| > 16 42. 14x + 7 1 > 19 43.

CM 1 r—HVI <75

44. 3 d - 7 > 2 8 45. 12 / + 9 1 < 13 46.|5 m — 9 1 — 24


45. Quality Control T h e i d e a l le n g t h o f o n e t y p e o f m o d e l a ir p la n e is 9 0 c m. T h e a c tu a l
    le n g t h m a y v a r y f r o m id e a l b y a t m o s t 0 .0 5 c m. W h a t a re th e a c c e p ta b le le n g th s f o r
    the m o d e l airplane?


46. Basketball The ideal circum ference o f a w om en's basketball is 28.75 in. The actual
    c ir c u m f e r e n c e m a y v a r y f r o m th e id e a l b y a t m o s t 0 .2 5 in. W h a t a re t h e a c c e p ta b le
    cir c u m fe r e n c e s f o r a w o m e n ’s b a s k e tb a ll?

S o lv e e a c h e q u a t i o n o r i n e q u a l i t y. I f t h e r e is n o s o l u t i o n , w r i t e no solution.

+ 3 =

52. [/I - |= I 53. 3|5y — 7| - 6 = 24


53. |2d| + 3 = 21 50. 1.2|5p| =3.6 51. |d + £ | +! = 0

3 6

55. —2 | c — 4 | = - 8. 4


56. l< |c + 7|

2 1 1 4

54. It! + 2 .7 = 4.5
    56.M = 5


55. 4-3|m + 2| > -14


56. \n\ — | < 5


57. |-3 d | > 6 .3


58. Think About a Plan The m onthly average tem perature Tfo r San Francisco,
    C a lif o r n ia , is u s u a lly w i t h i n 7.5°F o f 5 6 .5 °F , in c lu s iv e. W h a t is th e m o n t h l y a v e ra g e
    te m p e ra tu re in San Francisco?

• S h o u ld y o u m o d e l t h is s it u a t io n w i t h a n e q u a t io n o r a n in e q u a lit y?


• H o w c a n y o u u s e th e g iv e n i n f o r m a t i o n t o w r it e t h e e q u a t io n o r in e q u a lit y?

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