Chapter 7

32x

−63y

−48a

−92x

$\frac{5}{49}$

$\frac{11}{25}$

$\frac{22}{15}$

$\frac{11}{9}$

15.58c

17.79d

10.53

70.4

24y

60z

32r − s

41m + 6n

4x + 8

6x + 42

27y + 72

25w + 45

7x − 42

8x − 40

$\frac{2}{5}p+4$

$\frac{3}{7}u+9$

5y + 3

4n + 9

70 + 15p

4 + 35d

rs − 2r

yz − 8y

xp + 2p

yq + 4q

−18m − 15

−48n − 66

−10 + 15a

−56 + 105y

−z + 11

−x + 4

−3x + 3

2x − 20

5x − 66

7x − 13

9

−18

p

r

0

0

undefined

undefined

20y + 50

12z + 16

2.5 feet

54 feet

8600 pounds

102,000,000 pounds

440,000,000 yards

151,200 minutes

16 cups

48 teaspoons

9 lbs. 8 oz

21 ft. 6 in.

4 lbs. 8 oz.

11 gal. 2 qts.

5000 m

250 cm

2.8 kilograms

4.5 kilograms

83 cm

1.04 m

2 L

2.4 kg

2.12 quarts

3.8 liters

19,328 ft

3,470 mi

15°C

5°C

59°F

50°F

Rational: $0.75,0.22\stackrel{\text{–}}{\text{3}}$. Irrational: $\text{1.39174…}$

Rational: $0.\stackrel{\text{—}}{45}$, $3.59$. Irrational: $\text{1.919293…}$

Answers will vary.

7 + 6 = 6 + 7

7(−13) = (−13)7

(−12)(−18) = (−18)(−12)

−15 + 7 = 7 + (−15)

y + 1 = 1 + y

−3m = m(−3)

(21 + 14) + 9 = 21 + (14 + 9)

(14 · 6) · 9 = 14(6 · 9)

(−2 + 6) + 7 = −2 + (6 + 7)

$\left(13·\frac{2}{3}\right)·18=13\left(\frac{2}{3}·18\right)$

4(7x) = (4 · 7)x

(17 + y) + 33 = 17 + (y + 33)

23

$\frac{5}{12}$

$\frac{25}{7}$

$\frac{65}{23}$

−176

$\frac{13}{12}$

$\frac{23}{15}$

9.89d

36

29.193

72w

−46n

12q

42u + 30v

−57p + (−10q)

$a+\frac{6}{5}b$

7.41m + 6.57n

Answers will vary.

3a + 27

27w + 63

7y − 91

35u − 20

$\frac{1}{3}u+3$

$\frac{4}{5}m+4$

3x − 4

2 + 9s

uv − 10u

ax + 7x

−3a − 33

−81a − 36

−4q + 28

−42x + 48

−q − 11

−5p + 4

8u + 4

−4x + 10

−42n + 39

−r + 15

−c + 6

3y + 1

47u + 60

24x + 4

6n − 72

17n + 76

identity property of multiplication

identity property of addition

$\frac{1}{14}$

$-\frac{1}{19}$

$\frac{13}{8}$

$-\frac{12}{5}$

$\frac{5}{2}$

−2

0

0

undefined

0

0

undefined

16

31s

p

2n

0

0

0

undefined

undefined

undefined

20q − 35

225h + 360

Answers will vary.

24 inches

3.75 feet

58 inches

90 feet

0.98 miles

300,000 pounds

110 tons

162 hours

8100 seconds

256 tablespoons

128 ounces

111 ounces

31.25 gallons

4 lbs. 1 oz.

5 weeks and 1 day

9 ft 2 in

8 yards

8000 meters

245 centimeters

10.911 kilometers

3000 milligrams

25,000 milligrams

3800 grams

0.3 liters

65 centimeters

1.82 kilograms

16.8 grams

42,000 milligrams

106.7 centimeters

8.2 meters

41,500 kilograms

5.2 feet

33 pounds

30.4 liters

25°C

−10°C

−15.5°C

48.9°C

77°F

5°F

46.4°F

60.8°F

110 reflectors

$\frac{-5}{1}$

$\frac{18}{10}$

$0.\stackrel{\text{—}}{16},1.95$

−14·5 = 5(−14)

a + 8 = 8 + a

(22 + 7) + 3 = 22 + (7 + 3)

$\frac{1}{2}(22y)=\left(\frac{1}{2}·22\right)y$

$\frac{11}{15}$

−60

5.98 d

25 q

34 m + (−25 n)

9y − 36

56a + 96

yp + 10p

−4x + 68

identity property of addition

identity property of multiplication

−19.4

$\frac{7}{15}$

$-\frac{1}{5}$

$-\frac{9}{4}$

0

0

n + 7

34

54x − 84

3.5 feet

15 yards

9000 pounds

64 tablespoons

1.9 gallons

7 hours 10 minutes

3 yards, 12 inches

8.85 kilometers

13,000 milligrams

0.65 liters

855 milliliters

10,000 milligrams

25.6 meters

171.6 pounds

11.4 kilograms

−5°C

17.8°C

23°F

75.2°F

$\sqrt{144}=12\text{therefore rational.}$

x·14 = 14·x

(8·2)·3 = 8·(2·3)

15y

$\frac{23}{15}$

30y − 4z

30x − 24

2a + 3

66p − 2

0

0

.276 grams

9.317 miles

95°F