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AVUHSD Alg. 1 Sem 2 DBME 6 Week Study Guide (10-11) 1. a. What integer is 105 the closest to? b. What integer is 160 the closest to? c. What integer is 329 the closest to? d. What integer is 359 the closest to? 2. 3 4 5 32 7 18 b. Simplify: 5 72 c. Simplify. 5 75 d. Simplify 2 6 7 0 0 x 2 c. x2 0 7x4 2 d. 6x 7 y 8 0 a. 2 27 7 12 3 3 = b. 80 2 45 3 5 = c. 3 50 4 32 5 2 = d. 3 63 7 28 6 7 = (3 x 5) 2 26 b. ( 2 z 7) 2 7 c. (5 y 3) 14 d. (7 x 11) 2 11 9 Find the roots of the equation: 2 a. x (x 4 ) 3 b. z 3 (z 6 ) 2 c. x 2 (x 3 ) 5 d. x 6 (x 2 ) 3 a. 2ab 6ab b. 14ab 21ab c. 15 pq 30 pq d. 2x3 2x 2 4x x 3 3x 2 5 x x3 6x 2 9x 5 z 3 40 z 2 35 z a. 7 x b. 13 a. Simplify: a. a. Factor b. Factor c. Factor d. Factor 10 p 3 q 6 pq a. x2 - x – 12 = 0 b. x2 + 3x – 18 = 0 c. x2 - 8x + 15 = 0 d. x2 + 16x = -63 10 Find the solutions to the given quadratic equation? a. b. c. d. 3x 2 x 4 0 7 x 2 15 x 2 0 2x 2 7x 6 0 6 x 2 23 x 7 AVUHSD Alg. 1 Sem 2 DBME 6 Week Study Guide (10-11) 11 17 a. (x) 2 b. ( 6) 2 c. (6 x 2) 2 d. (4 z 2 y 6) 2 18 12 13 14 15 16 a. Factor b. Factor c. Factor d. Factor x 2 49 x 2 121 9a 2 169b 2 z 2 1 a. Factor b. Factor c. Factor d. Factor 3x 2 x 2 2x 2 7x 4 3x 2 4 x 15 9a 2 12a 5 Find the roots of: a. y = 5x2 + x –18 b. y = 6x2 +13x +6 c. y = 4x2 +4 x – 15 d. y = 15x2 –19 x +6 What is the factored form of: a. 6a 2 4ab 10b 2 b. 6c 2 33cd 15d 2 c. 12 x 2 28xy 24 y 2 d. 15s 2 19 st 6t 2 What is the factored form of a. x 2 22 x 121 b. y 2 28 y 196 c. 3x 2 36 x 108 d. 2 x 2 20 x 50 a. b. c. d. 5 5 5 122 2 5 2 7 13 6 13 5 7 7 7 a. Solve b. Solve c. Solve d. Solve z 2 64 0 x2 4 y 2 36 x 2 144 0 19 a. 5 3 7 2 8 3 b. 2 7 6 11 7 c. 19 15 2 31 9 15 d. 2 11 6 11 8 21 20 Completely factor a. z 2 6 zy 7 y 2 b. a 2 3ab 10b 2 c. x 2 4 xy 4 y 2 d. x 2 11xy 28 y 2 21 a. Simplify b. Simplify c. Simplify d. Simplify 22 What is factorable a. x 2 36 ? b. x 2 49 c. 9 x 2 16 y 2 d. 4a 2 25b 2 48 18 200 288 23. Classify a given number as rational, Irrational, whole or integer (Note some numbers can exist in more than one number set.) a. 48 c. -22 2 b. d. 9 3