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

2019
Views:

279

Pages:

2
Author:

Nossardisd7p

n²-8 n+1 = (n-8)(n+1) n+1 = n-8 EX VAL: n+1=0 n=-1 2) 35n-20 15n³ = 7(5n-4) 3(5n²) = 7(5n-4) 3(5n²) no exc. val 3) 35x+42 35x² = 7(5x+6) 5(7x²) = 5x+6 5x² EX VAL: x=0 4) r²+2r r²-8r-20 = r(r+2) (r-10)(r+2) = r r-10 EX VAL: r=10, -2 5) 8-n 2n-16 = -1(n-8) 2(n-8) = -1 2 EX VAL: n=8 6) r²-12r+27 18+7r-r² = (r-9)(r-3) -(r-9)(r+2) = -(r-3) r+2 EX VAL: r=9, -2 7) x²+6x+5 x²+11x+30 = (x+5)(x+1) (x+5)(x+6) = x+1 x+6 EX VAL: x=-5, -6 8) r²+8b+12 b²+3b-18 = (b+6)(b+2) (b+6)(b-3) = b+2 b-3 EX VAL: b=-6, 3 9) 20n-100 20n-40 = 20(n-5) 20(n-2) = n-5 n-2 EX VAL: n=2 10) a²+13a+40 a²-a-30 = (a+8)(a+5) (a-6)(a+5) = a+8 a-6 EX VAL: a=6, -5 What Happened To the Guy Who Jumped From a 100-foot Tower Into a Large Glass of Root Beer? Simplify the expression, then find your answer. Write the letter of the answer in each box with the exercise number. If the answer has a shade in the box instead of writing a letter in it. 1) 1 1. 3x + 12 x + 4 = 3(x + 4) x + 4 = 3 EX VAL: -4 2) 5a - 15 a² + 5a - 24 = 5(a - 3) (a + 8)(a - 3) = 5 a + 8 EX VAL: 3, -8 3) n² - 9n + 14 3n² - 12 = (n - 7)(n - 2) 3(n + 2)(n - 2) = n - 7 3(n + 2) EX VAL: 2, -2 4) x² - 49 3x - 21 = (x + 7)(x - 7) 3(x - 7) = x + 7 3 EX VAL: 7 5) x - 5 8x - 40 = x - 5 8(x - 5) = 1 8 EX VAL: 5 6) 2n² + 7n + 5 6n³ + 15n² = (2n + 5)(n + 1) 3n²(2n + 5) = n + 1 3n² EX VAL: -5/2, 0 7) x² + 2x x² - 9x = x(x + 2) x(x - 9) = x + 2 x - 9 EX VAL: 0, 9 8) a² + 9a + 20 a² - 25 = (a + 5)(a + 4) (a + 5)(a - 5) = a + 4 a - 5 EX VAL: -5, 5 9) n² - 5n - 36 n² + 8n + 16 = (n - 9)(n + 4) (n + 4)(n + 4) = n - 9 n + 4 EX VAL: -4, -4 10) 2n² + 7n + 5 6n³ + 15n² = (2n + 5)(n + 1) 3n²(2n + 5) = n + 1 3n² EX VAL: -5/2, 0