SPRING 2017 MATH 0409 EXAM 3 ( 8 WEEKS ) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor. 1) 5x2 + 25x A) 5x(x + 5) 1) B) 5x2 (x + 5) C) 5x(x + 25) 2) t(7 - m) + s(7 - m) A) t(7 - m) + s C) (t - s)(7 - m) Factor by grouping. 3) x3 - 7x 2 - 3x + 21 A) (x + 7)(x2 + 3) Factor. 4) x2 + 3xy - 10y2 A) (x + 5y)(x - 2y) Factor completely. 5) x2 - 3x - 54 A) (x - 6)(x + 9) 6) x2 + 16xy + 64y2 A) (x + 8y)2 D) x(5x + 25) 2) B) (t + s)(7 - m) D) No common factor B) (x + 7)(x3 - 3) C) (x - 7)(x2 + 3x) D) (x - 7)(x2 - 3) B) (x - y)(x + 2y) C) (x - 5y)(x + 2y) D) (x - 5y)(x + y) B) (x - 6)(x + 1) C) (x + 6)(x - 9) D) Prime B) Prime C) (x + 8y)(x - 8y) D) (x - 8y)2 7) 49k2 - 36m 2 10) B) None 8) C) d = 8 D) d = 8, 3 27m 5p2 9) 3m 8p A) 9mp B) 9m 3 C) p 9p m3 D) 9m 3 p2 y2 + 2y 10) y2 + 9y A) y+2 y+9 6) B) (7k + 6m)(7k - 6m) Find all numbers for which the rational expression is not defined. d-3 8) 8-d 9) 5) D) (7k + 6m)2 C) Prime Simplify. 4) 7) A) (7k - 6m)2 A) d = -8 3) B) 8y + 12 15y + 54 C) 1 y2 + 2y y+ 9 D) y+ 2 y2 + 9y Multiply and, if possible, simplify. 5p - 5 5p2 · 11) p 7p - 7 11) A) 25p 7 B) 7 25p C) 35p2 + 70p + 35 5p3 D) 25p3 - 25p2 7p2 - 7p Divide and, if possible, simplify. x2 - 64 8x + 64 ÷ 12) x x-8 A) (x - 8)2 8x 12) B) (x - 8)2 x C) Find all square roots of the number. 13) 64 A) 9, -9 B) 8, -8 8x (x - 8)2 C) 16, -16 D) 8(x + 8)2 x D) 10, -10 Find the perimeter of the polygon. 14) 27 m 17 m 14) 17 m A) 33 m Find the area. 15) 13) 33 m B) 94 m C) 50 m D) 459 m 15) 20 m 21 m A) 420 m2 B) 41 m2 C) 840 m2 D) 82 m2 16) 16) 4 in. A) 64 in.2 8 in. B) 16 in.2 C) 32 in.2 2 D) 12 in.2 17) 17) 9.5 in. 8 in. 7.5 in. A) 25 in.2 B) 68 in.2 Find the area of the shaded region. 18) 5 yd C) 60 in.2 D) 136 in.2 18) 6 yd 5 yd 23 yd 18 yd A) 389 yd2 B) 379 yd2 C) 74 yd2 D) 384 yd2 Find the perimeter of the polygon. 19) 8m 2m 22 m 19 m A) 118 m 13 m 12 m 22 m 19) 20 m B) 99 m C) 88 m D) 105 m Find the area. 20) 20) 30 in. 33 in. A) 990 in.2 B) 495 in.2 C) 247.5 in.2 3 D) 450 in.2
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