Chapter 3

$2x-6$

$x=36$

$x=2$

$0.045$

$60\%$

$0.88$

$10.71$

$n=5$

$12.55$

$3.5$

$x=6$

$d=q+3$

$3h$

$l=w-3$

$b=10$

$12$

$210$ miles

$x=50$

$1.5$ hours

$x\ge 30$

$y>-11$

$180

40

2

7

25

4

3

6

9, 15

27, 31

$\mathrm{-15},\mathrm{-8}$

$\mathrm{-29},11$

$\mathrm{-4},0$

$\mathrm{-3},\mathrm{-2}$

47, 48

$\mathrm{-16},\mathrm{-15}$

$\mathrm{-33},\mathrm{-32},\mathrm{-31}$

$\mathrm{-13},\mathrm{-12},\mathrm{-11}$

32, 34, 36

$\mathrm{-10},\mathrm{-8},\mathrm{-6}$

$5,000

$19,300

36

33

$26

$36

125%

175%

$14.67

$2.16

25 grams

2,375 mg

26%

40%

8.8%

50%

6.3%

10%

$142.50

$7,020

6%

4%

$11,450

$9,600

ⓐ $11.60 ⓑ $17.40

ⓐ $256.75 ⓑ $138.25

ⓐ $184.80 ⓑ 33%

ⓐ $60 ⓑ 15%

ⓐ $600 ⓑ $1,800

ⓐ $2,975 ⓑ $11,475

9 nickels, 16 dimes

17 nickels, 5 quarters

42 nickels, 21 dimes

51 dimes, 17 quarters

41 nickels, 18 quarters

22 nickels, 59 dimes

330 day passes, 367 tournament passes

112 adult tickets, 199 senior/child tickets

84 adult tickets, 31 student tickets

26 full-fare, 14 reduced fare

32 at $0.41, 12 at $0.02

26 at $0.41, 10 at $0.20

5 pounds cereal squares, 25 pounds nuts

21 gallons of fruit punch, 7 gallons of soda

$4,200 at 4%, $9,800 at 7%

$2,500 at 3.2%, $5,500 at 8%

21 degrees

56 degrees

8 feet

6 feet

14 inches

6 feet

$34\text{°}$

$45\text{°}$

$20\text{°},70\text{°},90\text{°}$

$30\text{°},60\text{°},90\text{°}$

$c=10$

$c=13$

8

12

12 feet

8 feet

340 yards

220 feet

26 feet

29 meters

15

9

18 meters, 11 meters

19 feet, 11 feet

24, 8

5, 4

70 feet, 30 feet

90 yards, 60 yards

Wayne 21 mph, Dennis 28 mph

Jeromy 80 mph, mother 60 mph

Carina 50 mph, brother 65 mph

parents 55 mph, Ashley 62 mph

3 hours

2.2 hours

uphill 1.8 mph, downhill three mph

upstream 8 mph, downstream 12 mph

biking 16 mph, running 10 mph

uphill 12 mph, flat street 20 mph

There can be no more than 20 boxes.

A maximum of 14 people can safely ride in the elevator.

seven packs

11 people

at least $4,000,000

at least $1,200,000

no more than 106 text messages

no more than 76 therms

at least 96 hours

at least 1,380 invitations

at least 23 hours

at least 20 driveways

Answers will vary

30

125

6

58

$750

$13,500

4

15

5

12

$\mathrm{-5}$

18, 24

8, 12

$\mathrm{-18},\mathrm{-27}$

$\mathrm{-111},\mathrm{-205}$

32, 46

23, 28

$\mathrm{-2},\mathrm{-3}$

4, 10

38, 39

$\mathrm{-11},\mathrm{-12}$

25, 26, 27

$\mathrm{-11},\mathrm{-12},\mathrm{-13}$

84, 86, 88

55, 57, 59

$\mathrm{-10},\mathrm{-12},\mathrm{-14}$

$\mathrm{-69},\mathrm{-71},\mathrm{-73}$

$45

$1.25

$1080

answers will vary

Consecutive odd integers are odd numbers that immediately follow each other. An example of three consecutive odd integers between 50 and 60 would be 51, 53, and 55.

54

26.88

162.5

18,000

112

108

$35

$940

30%

36%

150%

175%

$11.88

$259.80

24.2 g

2407 mg

175 lb.

$120

18%

45%

25%

12%

200%

72.7%

2.5%

11%

5.5%

$116

$4,836

3%

3.75%

$35,000

$3,345

$139

$125

ⓐ $26.97 ⓑ $17.98

ⓐ $128.37 ⓑ $260.63

ⓐ $332.48 ⓑ $617.47

ⓐ $576 ⓑ 30%

ⓐ $53.25 ⓑ 15%

ⓐ $370 ⓑ 43.5%

ⓐ $7.20 ⓑ $23.20

ⓐ $0.20 ⓑ $0.80

ⓐ $258.75 ⓑ $373.75

21.2%

The number should be greater than 44. Since 80% equals 0.8 in decimal form, 0.8 is less than one, and we must multiply the number by 0.8 to get 44, the number must be greater than 44.

He meant that he should have packed half the shorts and twice the shirts.

8 nickels, 22 dimes

15 dimes, 8 quarters

10 at $1, 7 at $5

18 quarters, 36 nickels

30 pennies, 90 dimes

10 at $10, 5 at $5

12 dimes and 27 nickels

63 dimes, 20 quarters

16 nickels, 12 dimes, 7 quarters

30 child tickets, 50 adult tickets

110 child tickets, 50 adult tickets

34 general, 61 youth

114 general, 246 student

40 postcards, 100 stamps

30 at $0.41, 10 at $0.02

15 $10 shares, 5 $12 shares

5 liters champagne, 10 liters orange juice

7.5 lbs Maui beans, 17.5 Kona beans

800 at $1.50, 200 at $9.00

$8000 at 4%, $17,000 at 9%

$10,000 in CD, $30,000 in mutual fund

9.1%

9 girls, 3 adults

Answers will vary.

Answers will vary.

56 degrees

44 degrees

11 feet

8 feet

0.75 sq. ft.

23 inches

57

67.5

13 ft., 12 ft., 14 ft.

3 ft., 6 ft., 8 ft.

$45\text{°},45\text{°},90\text{°}$

$30\text{°},60\text{°},90\text{°}$

15

25

8

12

10.2

9.8

5 feet

14.1 feet

260 feet

58 feet

23 meters

26 inches

24

4.9

16 in., 7 in.

17 m, 12 m

13.5 m length, 12.8 m width

50 ft., 25 ft.

7 m width, 11 m length

160 yd., 120 yd.

85 ft., 40 ft.

240 feet

area; answers will vary

ⓐ Answers will vary.
ⓑ Answers will vary.
ⓒ Answers will vary.
ⓓ The areas are the same.
ⓔ The 2x8 rectangle has a larger perimeter than the 4x4 square.

Mason 75 mph, train 60 mph

express bus 75mph, local 50 mph

Saul 82 mph, Erwin 74 mph

Helen 57.2 mph, Anne 53.2 mph

Aletheia 2.4 mph, Elvira 3 mph

3 hours

3.5 hours

walking 3 mph, jogging 4.5 mph

upstream 6 mph, downstream 9 mph

skateboarding 7.2 mph, walking 2.9 mph

heavy traffic 30 mph, light traffic 70 mph

ⓐ 36 mph ⓑ 25 mph ⓒ 3.05 hours ⓓ 29.5 mph

Answers will vary.

15 children

12 people

five drinks

31 aprons

$15,000

$400,000

16 ccf

nine movies

48 cut & styles

44 meals

49 cars

9 cars

91 students

169 guests

Answers will vary.

answers will vary

116

38

$\mathrm{-18},\mathrm{-9}$

$\mathrm{-3},\mathrm{-10}$

$\mathrm{-48},\mathrm{-47},\mathrm{-46}$

15, 17, 19

167.5

160

120%

$3.89

$875

2.5%

$428.22

$1,900

$63

ⓐ $55.20 ⓑ $82.80

ⓐ $70 ⓑ 15.6%

ⓐ $175 ⓑ $225

16 dimes, 11 quarters

six $5 bills, 11 $10 bills

35 adults, 82 children

57 students, 68 adults

three $0.26 stamps, eight $0.41 stamps

2.2 lb. of raisins, 7.8 lb. of nuts

$12,500 at 4.5%, $2,500 at 1.8%

$73\text{°}$

600 square inches

$30\text{°},60\text{°},90\text{°}$

$22.5\text{°},67.5\text{°},90\text{°}$

26

8

8.1

$6^{\prime }$

ⓐ 110 ft. ⓑ 684 sq. ft.

62 m

24.5 cm, 12.5 cm

Gabe 70 mph, Elsa 77 mph

2.5 hours

flat road 11 mph, uphill 8 mph

$33 per day

at least $300,000

at least 112 jobs

15

$\mathrm{-49},\mathrm{-47}$

8%

ⓐ $208.50 ⓑ 30%

140 adult, 85 children

$41.5\text{°},55.5\text{°},83\text{°}$

10

127.3 ft.

2.5 hours

at most $44.44 per costume