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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
41)
=
42)
x = -18
43)
f = 78
=
=
44)
c = 2.6
45)
=
u = 30
=
46)
=
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)
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