1. Multiplying and Dividing Rational Expressions
ALGEBRA 1 LESSON 12-4
pages 659–661  Exercises 1. 2. 3. 4. 5. 6. 7. 8. 9.
10.
11.
12.
13. 4(t + 1)(t + 2)
14. 3(2m + 1)(m + 2)
15.
16.
17. –
18.
19.
20.
21. 6
22. –
23. –
24.
25.
26.
27.
28.
29. t + 3 1 3
x – 1
x + 3
35x 36 1 2 1 2 12
t 2
3(4x + 1)
x – 1 1 3 40
3a5
m(m – 2)
(m + 2)(m – 1)
2(x + 2)
x – 1
(x – 1)(x – 2) 3
n – 3
4n + 5
2x(x – 1)
3(x + 1)
x + 1 2 3 x
12x2
5(x + 1)
2d – 5
6d 2 11
7k – 15 2c
c – 1 1
c2 – 1 1
x + 1
5x4 2 1
s + 4 9 t
12-4

2. Multiplying and Dividing Rational Expressions
ALGEBRA 1 LESSON 12-4
30.
31.
32.
33.
34.
35. The student forgot to rewrite
the expression using the
reciprocal before canceling.
36. Answers may vary.
Sample: • ;
37. 0, 4, –4
38. $88.71
c + 1
c – 1
39. $132.96
40. a. $100,000
b. 360 payments
c. $599.55
d. $215,838
41.
42.
43.
44.
45. She wrote w5 as a fraction so
she could easily see what
she could cancel.
3t – 5
7t 2
5(2x – 5)
x – 5
x – 2
x – 3
x – 2
4(x + 7)
x – 5 x
2m2(m + 2)
(m – 1)(m + 4) 2
a + 5
r + 3
(r – 1)(r + 1)2
9(m + 1)
3m2
m + 2
3(m + 1)
m + 2 m2
12-4

3. Multiplying and Dividing Rational Expressions
ALGEBRA 1 LESSON 12-4
46. a. b.
47.
48. 1
49.
50.
51.
52.
53.
54. B
55. G
x(3x + 2)
4(2x + 1)2
x(x – 2)
2(x – 1)
m – 2
2m(m – 1)
x 2 1
(w + 2)(w + 3)
–(2a + 3b)(a + 2b)
(5a + b)(2a – 3b)
9m 2(m + 1) 2
56. D
57. G
58. [2] • =
= 3(x + 1)
[1] one computational error
OR answer with no work shown
59.
60.
61.
62.
63.
x 2 – 1 x 3x
x – 1
(x + 1)(x – 1)(3x)
x(x – 1)
b – 5 3 4k 7 q4 4
5t 2 – 9 8
y + 5
12-4

4. Multiplying and Dividing Rational Expressions
ALGEBRA 1 LESSON 12-4
64.
65.
66.
67.
70. 5
71. 11 1
2a2 – 3
2z + 3
z + 1
2c – 9
2c + 8
76.
74.
75. m2
2 – 3m
12-4