Geo m et r y F in d th e vo lu m e of e a ch re c ta n g u la r prism.64.x- 5
3x + 265.3x + 2
x+ 2
x^ + 2 x - 35m — 12(5^ Challenge Multiply or divide.m2 + m - 266.68.3 m 3 - 3 m
4 m2 + 4 m — 8(6m2 + 12m)5x 5 x y — 25x^
y2 - 25 ' y 2 ~ 10y + 2567.69.t2 + 3 tr + 2 r2
t2 + t r - 2 r 2 t2 + 2t r + r 2
2a2 — ab — 6 fo 2 2 a 2 — 7 g fo + 6b2
2 b 2 + 9 ab — 5 a2 a 2 - Ab 2St a n d a r d i ze d Test Pr ep
SAT/ACT 70. W hat is th e simplified form of (2x - 5)CK)\ — 2x2x
2x — 9x - 10 '
CO —A xx — + 5^5 -8x - 10Short. R e s p o n s e
71. The volum e of the rectangular prism is 4x3 + 6x2.
W hat is the w idth w o f t h e p r i s m?
CO 4X3 + 6x2 — 2x CTD 2x + 4
CO 2x + 3 CD 2x + 6
72. W hat is th e vertex of th e p arab o la w ith the equation y = 2x2 + 3x — 1?
CO (-0.75, -2.125) CO (-2.125, -0.75)
CO (0.75, 2.125) CO (-0 .7 5 , 2.125)
73. A soccer ball is kicked w ith an initial upw ard velocity of 35 f t/s from a starting
height of 2.5 ft. If no one touches th e ball, how long will it be in the air? Use the
formula h = — 16f2 + vt + c, w h e re h is th e b all’s height at tim e t, v is th e initial
upw ard velocity, an d c is the starting height. Show your work.
AMixed Review
Simplify each expression. State any excluded values. ^ See Lesson 11-1.
74.7m — 14 75. 5a 76.4 c - 36c + 81
3 m “ 6 * 1 0a 4 - 15a 2 4c2 - 2c - 72Get Ready! To p r e p a r e f o r Lesso n 11 - 3 , d o Ex e r c i se s 7 7 - 7 9.Find each product. ^ See Lesson 8-3.- (2x + 4)(x + 3) 78. (-3n - 4){n - 5) 79. (3a2 + l)(2a - 7)
676 C h a p t e r 11 Rat i o n al Exp r essi o n s an d Fu n ct i o n s