Chapter 3

1

5

2

3

16

9

5 yards

−30 feet

6

7

−6

−7

−2

−3

2

3

−50

−70

13

0

9

13

196

8

−7 + 4 = −3

−8 + (−6) = −14

[9 + (−16)] + 4 = −3

[−8 + (−12)] + 7 = −13

4 degrees Celsius

−33 feet

14-yard line

37-yard line

2

3

−2

−3

−10

−11

10

11

ⓐ

ⓑ

ⓒ

ⓓ

ⓐ

ⓑ

ⓒ

ⓓ

ⓐ

−2
ⓑ

4

ⓐ

−3
ⓑ

3

−29

−26

3

13

−69

−47

45 degrees Fahrenheit

9 degrees Fahrenheit

10,103 feet

233 feet

−63

−84

29

52

4

9

21

6

39

13

−8

19

−5 (12) = −60

8 (−13) = −104

−63 ÷ −9 = 7

−72 ÷ −9 = 8

−4

−19

−6

−4

4x = 12; x = 3

3x = 6; x = 2

7

11

−12

−9

x + 7 = −2; x = −9

y + 11 = 2; y = −9

p − 2 = −4; p = −2

q − 7 = −3; q = 4

132 = −12y; y = −11

117 = −13z; z = −9

4

15

4

56

0

8

80

−6 degrees

−40 feet

−12 yards

$3

+1

Sample answer: I have experienced negative temperatures.

11

−9

−2

1

−80

32

−135

0

−22

108

−4

29

−8

10

64

121

−14 + 5 = −9

−2 + 8 = 6

−15 + (−10) = −25

[−1 + (−12)] + 6 = −7

[10 + (−19)] + 4 = −5

7°F

−$118

−8 pounds

25-yard line

20 calories

−32

Sample answer: In the first case, there are more negatives so the sum is negative. In the second case, there are more positives so the sum is positive.

6

−4

−9

12

27

29

−39

−48

−42

−59

−51

9

−2

−2

22

53

−20

0

4

6

5.2

−11

−8

−192

−10°

96°

21-yard line

$65

−$40

$26

13°

Sample answer: On a number line, 9 is 15 units away from −6.

−32

−35

36

−63

−6

14

−4

−8

13

−12

−49

−47

43

−125

64

−16

90

−88

9

41

−5

−9

−29

5

8

21

38

−56

−3·15 = −45

−60 ÷ (−20) = 3

$\frac{\mathrm{-6}}{a+b}$

−10 (p − q)

−$3,600

Sample answer: Multiplying two integers with the same sign results in a positive product. Multiplying two integers with different signs results in a negative product.

Sample answer: In one expression the base is positive and then we take the opposite, but in the other the base is negative.

−7

−17

−4

6

−16

−14

3x = 6; x = 2

2x = 8; x = 4

9

−8

3

−12

20

0

n + 4 = 1; n = −3

8 + p = −3; p = −11

a − 3 = −14; a = −11

−42 = −7x; x = 6

f(−15) = 75; f = 5

−6 + c = 4; c = 10

m − 9 = −4; m = 5

20

7

−52

−9

5

−42

17 cookies

Sample answer: It is helpful because it shows how the counters can be divided among the envelopes.

Sample answer: The operation used in the equation is multiplication. The inverse of multiplication is division, not addition.

<

>

>

−6

4

21

36

0

14

−33

<

=

55; −55

7

54

−1

−16

−3

−10°

10

1

96

−50

−1

21

−27

−8 + 2 = −6

10 + [−5 + (−6)] = −1

16 degrees

5

7

8

−38

−58

−1

41

−12 − 5 = −17

−2 degrees

−36

121

−7

−8

−45

−9

−81

54

4

−66

−58

−12(6) = −72

−12

−6

−7

−32

3x = 9; x = 3>

9

4

−6y = −42; y = 7

m + 4 = −48; m = −52

5

−27

11

54

−8

22

39

34

−7 − (−4) = −3

4°F

n = −1

r = 6

y − 8 = −32; y = −24