- The values for a and b are reversed; ^
1 .5p = 300, p = 200%. 49. $181 51.29^ % - 25 students 55. F 57. 14.4 cm 58. 18 cans
- c= 1.75 + 2. 4 f m - l ) ; 2§ mi 60. 1250%
- 0.6 62. 175%
Lesson 2-10 pp. 144-150
Go t It? 1. about 32% 2. about 17% 3. about 16%- 65.5 in. and 66.5 in. 5. It would be smaller since the
measurement of each dimension is closer to the actual
value of each dimension.
Lesso n Ch eck 1. about 2% 2. about 61 % 3. 7.25 ft
and 7.75 ft 4a. percent decrease b. percent decrease
c. percent increase 5. 0.05 m 6. A percent increase
involves an increase of the original amount and a percent
decrease involves a decrease of the original amount.
Ex er ci ses 7. increase; 50% 9. decrease; 7% - decrease; 4% 13. increase; 54% 15. increase; 27%
- about 55% 19. about 13% 21. 1.05 kg; 1.15 kg
- about 28% 25. 175% increase 27. 42% decrease
- 39% increase 31. 48.75 m2; 63.75 m2
- 505.25 ft2; 551.25 ft2 37. The original amount is
12, not 1i luR = T2==0-5= 50%- 39.12.63
41a. 21 % b. 21 % c. 21 %; sample: the new length is
1.1 times as great as the original length. 1.12 = 1.21 or
121 %, which shows a 21 % increase over the original
amount of 100%. 43. 1 45. 66§% 46. 64.75 47. 21
48-51.
-3^2-8 2 2
—I—I • I ♦ I »
3-2—1 0 1 2 3
-3, -2.8,1, 2Chapter Review pp. 152-156
I. inverse operations 2. identity 3. rate 4. scale- cross products 6. -7 7. 7 8. 14 9. 65 10. 3.5
II. -4 12. -5 13. -8 14. $6.50 15. Add. Prop, of
Eq.; Simplify.; Div. Prop, of Eq.; Simplify. 16. 11 17. 8 - -7.5 19. 3^| 20. 28 21. 14.7 22. Ah + 8b +
50= 164; $9.50 23. 37f+8.50f+ 14.99 = 242.49;
5 tickets 24. -90 25. 7.2 26. identity 27. no solution - 8/i= 16 + 6b;; ft 29. g|= ifo + 3; 390 mi
30' x = JTb 31- x=—t-r 32. x = T— R
- x = pqs 34. 40 cm 35. 15 mm 36. 16 in.
- 78 in. 38. 71 oz 39. 2.25 min 40. 3960 yd
- 240 loaves 42. about 6 lb 43. s or about 0.45 s
- 21 45. -4 46. 1.6 47. 21 48. 39 49. -1
50. 12 in. 51. 42 in. 52.300% 53.108 54.170
55. 60 seeds 56. 30% 57. 72 students 58. increase;
c
Po w er A l g eb r a.co m11 % 59. decrease; 20% 60. decrease; 11 % 61. increase;
32% 62. about 47% 63. about 39% 64. Yes; 50% of
38° is 19° and 38°+ 19° = 57°.Ch ap t er 3
Get Ready! p. 161
- = 3. > 4. < 5. 7 6. -4 7. 1 8. 2 9. 3
- -12 11. 32.4 12. 23 13. 29.5 14. -28 15.-12
16.48 17. 5 18. -24 19. -10 20. 1.85 21. -24 - -2 23. 3 24. 60 25. -4 26. 3 27. \ 28. 2.5
- 4.1 30. 24 31. Answers may vary. Sample: Two
inequalities are joined together. 32. Answers may vary.
Sample: the part that the two groups of objects have
in common
Lesson 3-1 pp. 164-170
Go t It? 1a. p > 1.5 b. t+7 < —3 2a. 1 a n d 3
b. The solution of the equation is -2. The solution of
the inequality is all real numbers greater than -2.
3a.—s—-4 1— 1-2—1—1—1—1— 0 2^1 —1—1— 4 ►-6 -4 -2 023456789 10
4a. x < -3 b. x > 0 5. No; the speed limit can only be
nonnegative real numbers.
Lesso n Ch eck 1. y> 12 2a. no b. no c. yes d. yes- i— i— i— i— i— i— i—t—0 > 4. x < -3
~6 -4 -2 0 2 - Substitute the number for the variable and simplify. If
the number makes the inequality true, then it is a solution
of the inequality. 6. Answers may vary. Sample: x > 0,
whole numbers, a baseball team's score during an inning,
amount in cubic centimeters of liquid in a chemistry
beaker; x > 0, counting numbers, length of a poster,
distance in blocks between your house and a park - Check students' work.
Ex e r c i se s 9. b<4 11. §>^ 13a. yes b. no c. yes
15a. yes b. no c. no 17. D 19. A
23.
25.27.H 1— 0 -»— h — +— • — I 1 ----1— I — I h -
-7 -5 -3 -1 0
>— I 0 I I I I I I t -
—4 —3 —2 - 1 12 3 4
-• 1 1 -
10- x > - 4 3 1 .x > 2 33. x > 5 35. Let p = the
number of people seated; p < 172. 37. Let w = number
of watts of the light bulb; w < 75. 39. Let m = amount
of money earned; m > 20,000. 41. Check students'
work. 43. x < 186,000 45. b is greater than 0. 4 7. z is
Selected Answers^869Sel e ct e d A n s w e r s