Algebra 1 Common Core Student Edition, Grade 8-9

® Challenge 5 5. Simplify x16 - 11 by long division an d by factoring. W hich m e th o d do you prefer?

> “w Explain your answer.

Divide.

56. (4a 3 b 4 - 6 a 2 b 5 + 10a 2 b4) -e- 'lab 2


57. (15x2 + Ixy — 2y2) -5- (5x - y)


58. (90r6 + 28r5 + 45r3 + 2r4 + 5r2) - (9r + 1)


59. (2b6 + 2b 5 - 4 b 4 + b 3 + 8 b 2 - 3) - (b 3 + 2b 2 - 1)

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

SAT/ACT

Short
Response
S-JT

60. W hich of the following is tru e for (2x2 + 4x + 2) :-t- 2x?
    I. The re m a in d er is negative.
    II. The dividend is in stan d ard form.
    III. The q u o tien t is greater th a n th e divisor for positive values of x.
    C D I only C D II only C D I a n d II (


61. W hich eq u a tio n represents th e line th a t passes through (5, - 8 ) an d is parallel to
    the line at th e right?
    CD y = 2x + 2 CD y = —2x
    CD y + 2 x = 2 C D y - 2x = 2


62. W hat are the factors of th e expression x3 — 4x?
    CD *3< ~4x CD x, x^2 - 4 C D x - 2, x + 2 x, x - 2, x + 2


63. A th eate r has 18 rows of seats. Each row has 28 seats. Tickets cost $4 for adults and
    $2.50 for children. The Friday night show was sold out an d th e revenue from ticket
    sales was $1935. B arbara says th a t 445 adults w ere at th e show. Is h e r statem en t
    reasonable? Explain your answer.

Mixed Review

A

Multiply or divide.

c-. n64. 2 + 7n — 8

66.

n 1 n2 + 6n - 16

3c2 - 4c - 32. c-4

65.

67.

6 t 2 - 301

See Lesson 11-2.

6f2 + 3 5 t+ 11

212 - 531 - 55 1 8 12

x2 + 9x + 20 x 2 + 15x + 56

2c2 + 17c + 35 c + 5 x2 + 5x-2 4 ' x2 + x - 12

Get Ready! To p r e p a r e f o r Lesso n 1 1-4, do Exercises 68- 71.

Simplify each expression. See p. 803.

68.1 + i 69- H /u - JO J x + x 8 8 71 — 12y 12y—

c

Po w erAlg eb ra.com J Lesson 1 1 -3 D iv id in g P o ly n o m ia ls 683