University:
College Entrance Preparation
Course:
ACT Preparation (Mathematics)
Academic year:

2024
Views:

126

Pages:

2
Author:

Madelyn Bradshaw

Math Year 2 Name__________KEY___________________ Final Exam Review Chapter 13 Date____________________Period_________ Simplify each expression 1) -7x(3x + 2) -21x2 – 14x 3) -4x(x + 1) - x -4x2 - 5x 5) 4(2 - 5x) - 3(1 - 6x) 5 - 2x 7) (x + 3)(3x - 2) 3x2 + 7x – 4 Factor the common factor out of each expression 9) -15x - 10xy -5x(3 + 2y) 11) 2a2b - 4ab2 2ab(a – 2b) 13) -4y3 + 8y2 - 4y -4y(y2 – 2y + 1) 15) -18x4 - 6x3 - 2x2 -2x2(9x2 + 3x + 1) Factor each completely 17) x2 + 24x + 144 2) 6x(x - 6) 6x2 – 36x 4) 7x - 2(3 - 3x) 13x - 6 6) (x2 + 2x + 1)(x + 2) x3 + 4x2 + 5x + 2 8) (3x - 1)(2x + 4) 6x2 + 10x - 4 10) 2ac + 2bc 2c(a + b) 12) 6x3 - 2x 2x(3x2 – 1) 14) -12a2b - 4a2b2 -4a2b(3 + b) 16) x - x2 x(1 - x) 18) x2 + 3x - 18 (x + 12)2 (x - 3)(x + 6) 19) x2 + 7xy - 44y2 20) 14x2 + 21xy (x – 4y)(x + 11y) 7x(2x + 3y) 21) x4 - 16 22) 8x2 - 10x + 3 (x2 + 4)(x + 2)(x – 2) (2x – 1)(4x – 3) 23) x2 - 9xy - 10y2 24) x2 + 17x + 52 (x + y)(x – 10y) (x + 4)(x + 13) 25) 4x2 - 49 26) x2 + 7x - 44 (2x + 7)(2x – 7) (x – 4)(x + 11) 1 Solve each equation by factoring 27) x2 + 8x + 12 = 0 28) x2 - 4x = 0 x = -2 , x = - 6 x=0,x=4 29) (2p + 3)(3p - 4) = 0 30) x2 - 16x + 48 = 0 p = -3/2 , p = 4/3 x = 4 , x = 12 31) x2 - 23x + 102 = 0 32) 25x2 + 40x + 16 = 0 x = 6 , x = 17 x = -4/5 33) 5x2 - 22x + 8 = 0 34) x2 - 9 = 0 x = 4 , x = 2/5 x = 3 , x = -3 Solve each equation 35) |2x + 1| = 7 36) |x| - 3 = 5 x = 3 , x = -4 x = 8 , x = -8 37) -2|7x| = -14 38) |2x - 6| + 2 = 2 x = 1 , x = -1 x=3 39) |4x + 6| + 8 = 3 40) 16 = 5|x - 2| - 4 No Solution x = 6 , x = -2 Solve each proportion 2 −𝑥 41) = 5 45 42) x = -18 43) 𝑐+3 4 28 𝑑+5 42 = 13 7 f = 78 = 7 44) 5 c = 2.6 45) 𝑓 8 𝑢+10 = 4 20 u = 30 = 4 46) 9 𝑥 6 = 𝑥+3 12 d = 58 x=3 Factor each completely 47) x3 + 7x2 + 2x + 14 (x + 7)(x2 + 2) 49) 40x3 + 15x2 + 32x + 12 (5x2 + 4)(8x + 3) 48) 20t3 + 12t2 - 5t - 3 (2t + 1)(2t – 1)(5t + 3) 50) 5n3 + 15n2 - 6n – 18 (5n2 – 6)(n + 3) 2