Algebra 1 Common Core Student Edition, Grade 8-9

50. g 2 - 18g + 45


51. s2 - 10s? - 75?2

Ch al l en g e

Factor each expression.

49. x2 + 27x + 50
    52. d2 + 30 d - 64

Factor each trinomial.

Sample n6 + n3 — 42 = (n3)2 + r?

= (n3 - 6)(n3 + 7)

55. x12 + 12x6 + 35 56. t 8 + 5?4 - 24
    51. k2 - 18k-6 3
    54. h2 + 9 hj - 90 f

42

58. m10 + 18m5 + 17 59. x 12 - 19x6 120
    57. r 6 - 2 1 r3 + 80
    60. p6 + 14p3 - 72

St a n d a r d i ze d Test Pr ep

^SAT/ACT 61. W hat is th e factored form of x 2 + x — 42?

C£> (x - 7)(x - 6) CE> {x - 7)(x + 6) C O (x + 7)(x - 6)

62. W hat is th e solution of th e eq u a tio n 6x + 7 = 25?
    CD2 ©3 CED 5^

CO (x + 7)(x + 6)

CD 8

Short
, R e s p o n s e

63. A m u seu m charges an adm ission price of $12 p er p erso n w h en you buy tickets
    online. There is also a $5 charge p er order. You s p en d $65 p urchasing p tickets
    online. W hich equation b est rep resen ts this situation?
    (3D 12p + 5 = 65 C O 5p + 12 = 65 CO 12p - 5 = 65 C O 65p +12 = 5


64. You an d your friend bike to school at th e rates show n. Who
    is faster? Show your work.

You: 7 mi/h Your friend: 11 ft/s

Mixed Review

Simplify each product.

65. (c + 4)2

Solve each equation for x.

68. f = 4b d
    66. [2v - 9)2
    69. 8(x — d) = x

Get Read y! To p r e p a r e f o r Le sso n 8 - 6 , d o Ex e r c i se s 7 1 - 7 3.

Find the GCF of the terms of each polynomial.

71. 1 4 x 2 + 7x 72. 24x2 - 30x + 12

See Lesson 8-4.

67. (3w + 7)(3w - 7)

See Lesson 2-5.

70. m =

(c + x)

See Lesson 8-2.

73. 6x3 + 45x2 + 15

[ Le sso n 8 - 5 Fac t o r i n g x2 + bx + c^517