1. Solving Rational Equations
ALGEBRA 1 LESSON 12-7
pages 675–677  Exercises
1. –2
2. 3
3. –1
4. 6, –1
5. –
6. –2, 4
7. 1, 4
8. 5
9. 1, 3
10.
11. 1 3 16
12. –4
13. –2
14. –1
15. – h
min
18. 3
19. 10, –10
20. – , 4
21. 4
22. no solution
23. 6 2 3 5 7
24. –14
, 2
26. 3
27. –5, 2
28. –1
29.
30. – , –1
31. 0, 2 h
33. a. 32
b. Answers may vary. Sample: Cross-multiplying; I think it's quicker. 1 2 6 5
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2. Solving Rational Equations
ALGEBRA 1 LESSON 12-7
35. (continued)
c. Yes; the x-values are solutions
to the original equation since
both sides are equal. Ω
37. 20Ω Ω
39. 20Ω
40. Answers may vary.
Sample: =
mi/h
42. 9
43. 0,
44. –1
33 (continued)
c. No; it only works for rational equations that are proportions.
34. a = 4, b = , c = 11, d = –
35. a. y1 = , y2 =
b. (–9.53, 1.07), (–4.16, 1.35),
(–1.12, 5.76), (0.81, 10.16) 1 3 6 x2
(x + 7)2 7 27 2b
b + 2 6b
4b + 3 1 2
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3. Solving Rational Equations
ALGEBRA 1 LESSON 12-7
45. 1
min
47. a. 0.80s
b. 50 – s
c. 0.30(50 – s)
d. 0.8s + 0.3(50 – s) = (0.62)(50)
e. 32
f. 32 L of 80% solution
and 18 L of 30% solution h
49. B
50. G
51. C
52. [2] = ;
2(3 + x) = 16 + x
6 + 2x = 16 + x
x = 10 =
[1] appropriate method,
but with one computational error
53. –
54.
55.
3 + x
16 + x 1 2
3 + 10 13 26 3
x 2y 2z
3h 2 + 2ht + 4h
2(t – 2)(t + 2)
–4k – 61
(k – 4)(k + 10)
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4. Solving Rational Equations
ALGEBRA 1 LESSON 12-7
56.
57.
58.
59.
60.
61.
62. –18, –5
63. 8, 11
64. –23, 1
65. –8, 6
66. –13, –4
67. –91, –1
12-7