Chapter 2 Summary and Review: Review Exercises 33
18. 4(x+3)=36
19. 3(5x−7) = −66
15x
20. 8(x−2) −5(x+ 4) = 20 + x
8x−16 −5x−20 = 20 + x
2x
21. −5x+3(x+8)=16
−2x
6x−28 −6x=6x−4−6x
25. Since 4 ≤4 is true, 4 is a solution.
1
27. 9x≥63
The solution set is {x|x≥7}.
28. 2+6y>14
The solution set is {y|y>2}.
7−5y−7≥27 −7
30. 3x+5<2x−6
31. −4y<28
32. 4−8x<13+3x
33. −4x≤1
3x−6+6<3+6
35. In order to be a solution of −2<x≤5, a number must
38. V=1
3Bh
2
2A=a+b
41. Familiarize. Let w= the width, in miles. Then w+90 =
1280 = 2w+180+2w
Chapter 2 Summary and Review: Review Exercises 35
43. Familiarize. Let c= the cost of the entertainment center
44. Familiarize. Let a= the number of subscriptions Ty
a=27
Check.$4·27 = $108, so the answer checks.
45. Familiarize. Let x= the measure of the first angle. Then
The sum of the measure is 35◦+85
◦+60
◦= 180◦. The
46. Translate.
47. Translate.
48. Translate.
↓↓ ↓ ↓ ↓
18=3% ·b
49. We subtract to find the increase.
36 Chapter 2: Solving Equations and Inequalities
The increase is 76,568.
0.871 ≈p
50. We subtract to find the decrease, in billions.
0.282 ≈p
51. Familiarize. Let p= the price before the reduction.
52. Familiarize. Let s= the previous salary.
Solve. We solve the equation.
53. Familiarize. Let a= the amount the organization actu-
Translate.
54. Familiarize. Let srepresent the score on the next test.
80.
Chapter 2 Test 37
Solve.
86+2w>120
56. 4(3x−5)+6=8+x
11x−14+14=8+14
57. 3x+4y=P
Answer A is correct.
58. 2|x|+4=50
59. |3x|=60
The solutions are the values of xfor which the distance of
60. y=2a−ab +3
Chapter 2 Discussion and Writing Exercises
2. No; Erin paid 75% of the original price and was offered
credit for 125% of this amount, not to be used on sale
3. The inequalities are equivalent by the multiplication prin-
−20. That is, −3(−4) >5(−4).
Chapter 2 Test
2. t−9=17
3. 3x=−18
3x
4. −4
5. 3t+7=2t−5
7. 8−y=16
8−y−8=16−8
20 +8
20
x=−7
10. −3x−6(x−4)=9
x=3/ ·5
11. We multiply by 10 to clear the decimals.
−32 =−80
−32
p=5·16✧
2·16✧
13. −2+7x+6=5x+4+2x
02 2
Chapter 2 Test 39
15. 14x+9>13x−4
16. 12x≤60
17. −2y≥26
18. −4y≤−32
−4y
19. −5x≥1
4
20. 4−6x>40
21. 5−9x≥19 + 5x
5−9x−5x≥19 + 5x−5x
22. The solutions of y≤9 are shown by shading the point for
23. 6x−3<x+2
5<5
5
x<1
25. Translate.
a= 24% ·75
26. Translate.
↓↓ ↓ ↓↓
16.5% = p
Thus, 15.84 is 16.5% of 96.
27. Translate.
0.02 =0.02 ·b
0.02
28. We subtract to find the increase.
Now we find the percent of increase.
29. Familiarize. Let w= the width of the photograph, in
Solve. We solve the equation.
30. Familiarize. Let t= the total cost of raising a child to
and K-12 education
is 18% of Total
cost
State. The total cost of raising a child to age 17 is about
31. Familiarize. Let x= the first integer. Then x+ 1 = the
3x
32. Familiarize. Let x= the amount originally invested. Us-
Check. 5% of $880 is 0.05 ·$880 = $44 and $880 + $44 =
33. Familiarize. Using the labels on the drawing in the text,
we let x= the length of the shorter piece, in meters, and
Chapter 2 Test 41
2x+2=8
34. Familiarize. Let l= the length of the rectangle, in yd.
Check. We check to see if the solution seems reasonable.
State. For lengths that are at least 174 yd, the perimeter
35. Familiarize. Let s= the amount Jason spends in the
↓↓↓
36. Familiarize. Let c= the number of copies made. For 3
0.032c≤3825
37. A=2πrh
38. y=8x+b
39. We subtract to find the increase, in millions.
40. c=1
a−d
41. 3|w|−8=37
47
Cumulative Review Chapters 1 – 2
4. 2w−4
12. −6.7+2.3
16. 81 ÷(−9)=−9
25. 9b+18y+6b+4y=9b+6b+18y+4y
Cumulative Review Chapters 1 – 2 43
27. −4d−6a+3a−5d+1=−4d−5d−6a+3a+1
30. −3x−(−x+y)=−3x+x−y=−2x−y
The solution is 4.5.
35. 5
2y=2
5
25.
36. −2.6+x=8.3
6−43
6
8
38. −3
39. 2
5x=−3
20
41. −4x+3=15
−4x+3−3=15−3
42. −3x+5=−8x−7
−3x+5+8x=−8x−7+8x
43. 4y−4+y=6y+20−4y
44 Chapter 2: Solving Equations and Inequalities
44. −3(x−2) = −15
−3x
45. First we will multiply by the least common multiple of all
−10x=8
−10x
10(−3.7x+6.2) = 10(−7.3x−5.8)
36x
3
47. 4(x+2)=4(x−2)+16
48. 0(x+3)+4=0
49. 3x−1<2x+1
x<2
51. 5−y≤2y−7
52. H=65−m
53. I=Prt
54. Translate.
↓↓↓↓↓
a= 24% ·105
Cumulative Review Chapters 1 – 2 45
55. Translate.
39.6 is what percent
of 88?
56. Translate.
Solve.
57. Familiarize. Let p= the price before the reduction.
0.75p=18.45
0.75
p=24.6
State. The price before the reduction was $24.60.
58. Familiarize. Let m= the amount Melinda paid for her
Solve.
m+(m+ 17) = 107
Check. $62 is $17 more than $45, and $45 + $62 = $107.
59. Familiarize. Let x= the amount originally invested. Us-
60. Familiarize. Let l= the length of the first piece of wire,
Length
length
length
46 Chapter 2: Solving Equations and Inequalities
61. Familiarize. Let s= Nadia’s score on the fourth test.
82+76+78+s
62. −125 ÷25 ·625 ÷5=−5·625 ÷5
63. Familiarize. Let s= the salary at the beginning of the
64. First we subtract to find the amount of the reduction.
Solve.
2.7=p·9
65. 4|x|−13 = 3
4=28·11
28 +28(8x+3)
7
7(2+5x)=11+4(8x+3)
67. p=2
m+Q