Math 101 Intermediate Algebra
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Chapter 7 Homework

Try to do enough problems from a section until you're
comfortable doing problems of the kind found in that section.

Should you have trouble with the problems listed here, any of the odd numbered problems around these would be good to try--the answers are in the back of the book and you have a student solutions manual that shows you how to do them.

Section 1
20, 24, 30, 36, 38 (hint: factor numerator by grouping), 48, 52, 56, 58, 60, 64, 68, 72, 74, 82, 84

Section 2
4, 8, 10, 14, 18, 22, 24, 32, 36, 40, 44, 52, 54, 58, 60, 64

Section 3
2, 4, 6, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 42

Section 4
4, 6, 8, 10, 12, 16, 18, 24, 26, 30, 32, 34, 36, 38, 40, 42


Section 1
Num Answer Num Answer
20
x - 2y
5
58
2
3
24
2x + 3
x + 1
60
x + 5
2
30 x 64
x + 9
x - 15
36
a2 + ab + b2
a + b
68
3x + 1
x - 1
38 x - 2 72 1
48
20x4
y6
74 (2a - 1)(a - 1)
52
10
a4
82
-2( x + 2)
x2
56
5x5y4
6
84
(x + 2)(3x + 1)
(2x - 3)(x + 1)


Section 2
Num Answer Num Answer
4 -1 36
5x2 + 4x - 16
(x - 4)(x + 1)
8 x - 5 40
-2x - 7
(x - 4)(x + 4)(2x - 3)
10
x + 4
x - 4
44
3(x + 1)
2x - 3
14 (x - 4)(x + 3) 52
8p + 1
(p + 1)(p - 1)
18 (x - 2)(x + 2)(x - 7) 54
4x2 + 23x + 52
(x + 4)2(x - 4)
22 (x - 3)(2x - 1)(2x + 3) 58
26r2 + 13r - 43
(4r - 5)(2r + 3)
24
3x + 12
2x2
60
11x - 37
(x - 9)(x - 4)(2x + 1)
32
a2
b(a - b)
64
-16r2 + 20r
(2r - 1)2


Section 3
Num Answer Num Answer
2
35
304
20 x2(x - y)
4
6
7
22
-a + 1
(a + 1)(2a + 1)
6
y - x
xy
24
x - 1
x + 1
12
x(y - 1)
x + 1
26
a2 + 1
2a
14
5
3a2
28
x
5(x - 3)
16
x - y
y
30
x2 + 5x - 6
x(x - 2)
18
x + 2
2x2 + 1
42
(5y + x)(x - y)
xy


Section 4
Num Answer Num Answer
4 30 26 1, -8
6 1 30 3
8 5 32 -5
10 30 34 30
12 5 36 no solution
16 3 38 2
18 -3 40
12
5
24
9
7
42
- 4
3