Free Printable Unit 6: Add and subtract Rational Numbers

1.

-8+7

(a)

2.

-5+(-2)

(a)

3.

-3+(-7)

(a)

4.

2+(-11)

(a)

5.

-5+6

(a)

6.

-7+(-9)

(a)

7.

-6+7

(a)

8.

-11+9

(a)

9.

5+(-8)

(a)

10.

12-(-8)

(a)

11.

(-12) + 7

a)

5

b)

-5

c)

19

d)

-19

12.

(-10) + (-7)

a)

-17

b)

17

c)

3

d)

-3

13.

-8 + (-7)

a)

-1

b)

15

c)

1

d)

-15

14.

8 - (-3)

a)

-11

b)

5

c)

-5

d)

11

15.

-18 - (-2)

a)

20

b)

-16

c)

-20

d)

16

16.

Which integer represents a withdrawal from your bank account of $50

a)

-$50

b)

$50

c)

+$50

17.

Boston has a temperature of -20 degrees. It is colder in New York than in Boston. Select the value that could represent the temperature of New York

a)

0

b)

30

c)

-30

d)

-19

18.

Negatives numbers are right or left of zero?

a)

right

b)

left

19.

-16 + (-18)

a)

-34

b)

2

c)

-2

d)

34

20.

Stacy is playing a game in which she picks three numbers and finds the sum of her numbers. The numbers she picked are below.

-8, 5, -10

What is the sum of her numbers?

(a)

21.

At 1am it will be -12°F. The weatherman predicts it will be 25° warmer tomorrow by noon. What will the temperature be by noon tomorrow?

a)

$-13\degree$

b)

$13\degree$

c)

$-37\degree$

d)

$37\degree$

22.

5 - (-9) =

a)

-4

b)

-9

c)

4

d)

14

23.

3 - (-3) =

a)

6

b)

-6

c)

0

d)

-4

24.

-3 + (-2)

a)

-5

b)

5

c)

1

d)

-1

25.

-18 + 12

a)

-6

b)

6

c)

20

d)

-30

26.

10 - 18

a)

28

b)

8

c)

12

d)

-8

27.

#30) The water level is Mr. Jacob's pond was -4 feet. After a drought, the water level dropped by 13 feet. What is the water level after the drought?

a)

-17 ft

b)

17 ft

c)

9 ft

d)

-9 ft

28.

-6 + 7

a)

1

b)

-1

c)

13

d)

-13

29.

18 + (-13)

a)

5

b)

-5

c)

21

d)

-21

30.

-7 + (-8)

a)

-15

b)

15

c)

1

d)

-1

31.

3 + (-9)

a)

-6

b)

6

c)

12

d)

-12

32.

-11 + 15

a)

4

b)

-4

c)

26

d)

-26

33.

-16 + 5

a)

-11

b)

11

c)

21

d)

-21

34.

Solve:

a)

b)

c)

d)

35.

(-10) - (-9)

a)

-1

b)

1

c)

19

d)

-19

36.

Solve:

a)

b)

c)

d)

37.

Select ALL that represent an example of an integer.

a)

b)

c)

d)

e)

38.

A submarine at -32 feet dives down 18 feet. After the dive, what will be the submarine's elevation?

a)

14

b)

-14

c)

-50

d)

50

39.

-8 + (-12)

a)

20

b)

-20

c)

-4

d)

4

40.

-4 + (-3)

a)

7

b)

1

c)

-1

d)

-7

41.

7 + (-3)

a)

-4

b)

10

c)

4

d)

-10

42.

2 + (-21)

a)

19

b)

-23

c)

-19

d)

23

43.

-10 + 10

a)

20

b)

-20

c)

0

d)

100

44.

Which expression matches the model?

a)

-5 + 3

b)

5 + (-3)

c)

0 + 2

d)

5 - (-3)

45.

Classify -25.

a)

Whole Number

b)

Integer

c)

Rational Number

d)

Terminating Decimal

46.

Which expression is less than -10 + 4?

a)

12 + (-12)

b)

7 + (-5)

c)

14 + (-8)

d)

2 + (-10)

47.

Adding integers with the same sign:

a)

Subtract

b)

Add and that's it.

c)

Add and keep the sign.

d)

What is adding integers?

48.

Adding integers with different signs:

a)

Subtract and keep the sign of the larger number.

b)

Adding integers is hard!

c)

Subtract and keep the sign of the smaller number.

d)

Subtract and do not change the sign!

49.

The Cowboys lost 20 yards on the first play. On the next play they gained 17 yards. Write an addition expression.

a)

20 + (-17)

b)

20 + 17

c)

-20 + -17

d)

-20 + 17

50.

What integer addition equation is being modeled?

a)

-5 + -3 = 2

b)

-5 + 2 = -3

c)

-5 + 3 = -2

d)

5 + 3 = 8

51.

When adding a negative number and negative number, your result will be...

a)

Positive

b)

The sign of the larger absolute value

c)

Negative

d)

The sign of the smaller absolute value

52.

What is a zero pair?

a)

Two negatives

b)

One negative, one positive

c)

Two positives

53.

Bob lost 5 points on page one of his math test and he lost 9 points on page two of his math test. Which equation best describes Bob's progress on his math test?

a)

5 + 9 = 14

b)

-5 - 9 = -14

c)

-5 + -9 = -4

d)

5 + -9 = -4

54.

A submarine at - 12 feet dives down 18 feet. After the dive, what will be the submarines elevation?

a)

14

b)

-30

c)

-14

d)

50

55.

When you add opposites, what do you get?

a)

Zero

b)

It depends on which number has a larger absolute value

c)

A negative number

d)

You cannot add opposites

56.

-14 - 18

a)

4

b)

-32

c)

-4

d)

32

57.

25 - 13

a)

38

b)

12

c)

-38

d)

-12

58.

2 - 21

a)

23

b)

-23

c)

19

d)

-19

59.

The football team gained 8 yards on the first play. Lost 6 yards on the next. Gained 3 yards on the third play and lost 12 yards on their final play. What was their final change in yardage after the four plays?

a)

7

b)

-7

c)

29

d)

-13

60.

During the week Jimmy spent $45 eating out, gained $55 mowing lawns and spent $15 on gas. What was Jimmy's change in dollars at the end of the week?

a)

$5

b)

- $5

c)

- $15

d)

$15

61.

Yellow is positive and red is negative. The model represents which math expression?

a)

-5 + 3

b)

5 + 2

c)

-2 + (-5)

d)

-5 + 2

62.

Yellow is positive and red is negative. Solve the model.

a)

1

b)

-3

c)

7

d)

-7

63.

Yellow is positive and red is negative. Solve the model.

a)

-2

b)

0

c)

8

d)

-8

64.

What equation is modeled?

a)

(+7) + (-6) = -6

b)

(+7) +(-13) = -6

c)

(+7) + (-14) = -6

d)

(-6) + (-14) = -6

65.

What equation is modeled?

a)

-7 + 8 =1

b)

-7 + 9 = 1

c)

1 + -7 = -7

d)

8 + -7 = 1

66.

Which number line models the expression −3 + 5?

a)

b)

c)

d)

67.

What is the difference?

$3\frac{1}{7}-\frac{2}{5}$

a)

$3\frac{1}{2}$

b)

$3\frac{3}{12}$

c)

$2\frac{1}{2}$

d)

$2\frac{26}{35}$

68.

What is the sum?

$\frac{4}{15}+\ 2\frac{5}{6}$

a)

$2\frac{9}{21}$

b)

$3\frac{1}{10}$

c)

$2\frac{1}{9}$

d)

$2\frac{17}{30}$

69.

Simplify the expression.

$\frac{7}{15}+\left(-\frac{5}{12}\right)+\left(-3\right)$

a)

$-2\frac{19}{20}$

b)

$-3\frac{2}{3}$

c)

$-3\frac{1}{20}$

d)

$-2\frac{2}{3}$

70.

-3/7 + 4/5

a)

43/35

b)

-13/35

c)

13/35

d)

17/35

e)

Answer not given

71.

- 1/3 + (-1/6)

a)

-1/2

b)

-1/3

c)

1/3

d)

-1/9

e)

Answer not given

72.

$-1\ \frac{1}{4}\ +\ \left(-2\ \frac{1}{2}\right)$

a)

- 3 3/4

b)

- 3 1/4

c)

-2 3/4

d)

-3 1/2

73.

$-8\ \frac{3}{4}\ +\ 1\ \frac{3}{10}$

a)

$-7\ \frac{9}{10}$

b)

$7\ \frac{9}{20}$

c)

$-7\ \frac{3}{4}$

d)

$7\ \frac{3}{4}$

e)

Answer not given

74.

$-3\ \frac{1}{6}\ +\ 5\ \frac{3}{5}$

a)

2 13/ 30

b)

-2 13/30

c)

1 13/30

d)

-1 13/30

75.

$6\ \frac{3}{4}\ -\ \left(-2\ \frac{4}{5}\right)$

a)

9 11/20

b)

-9 11/20

c)

4 11/20

d)

-4 11/20

76.

$-5\ \frac{1}{2}-\ \left(-1\ \frac{1}{6}\right)$

a)

- 4 1/3

b)

4 1/3

c)

6 1/3

d)

-6 1/3

77.

$2\ \frac{3}{4}\ -\ \left(-\frac{1}{4}\right)\$

a)

2 1/2

b)

3 1/4

c)

3

d)

-3

e)

Answer not given

78.

$-1\ \frac{2}{3}-\ \left(-1\ \frac{4}{5}\right)$

a)

-2/15

b)

2/15

c)

-3 7/15

d)

2 2/15

e)

Answer not given

79.

5/8 − (− 7/8)

a)

1 1/2

b)

2 1/2

c)

-1 1/2

d)

-2 1/2

80.

$-3\ \frac{1}{6}\ +\ 5\ \frac{3}{5}$

a)

2 13/ 30

b)

-2 13/30

c)

1 13/30

d)

-1 13/30

81.

Which formula can be used to find the distance between - 2 and 6 on a number line?

a)

-2 - 6

b)

|-2 - 6|

c)

|-2| - |6|

d)

|6 - 2|

82.

a)

- 1 and 7/40

b)

15/40

c)

- 1 and 10/40

d)

17/40

83.

9.01 - (- 4.09)

a)

13.10

b)

4.82

c)

-13.00

d)

5.02

84.

-3/7 + 4/5

a)

43/35

b)

-13/35

c)

13/35

85.

⅗+(−⅕)=

a)

⅖

b)

−⅖

c)

⅘

86.

-1 1/4 + -2 1/2 =

a)

- 3 and 3/4

b)

- 3 and 1/4

c)

-2 and 3/4

d)

-3 and 1/2

87.

-8 3/4 + 1 3/10 =

a)

-7 and 9/20

b)

7 and 9/20

c)

-7 and 3/4

d)

7 and 3/4

88.

-3 1/6 + 5 3/5 =

a)

2 and 13/ 30

b)

-2 and 13/30

c)

1 and 13/30

d)

-1 and 13/30

89.

6 3/4 - (-2 4/5) =

a)

9 and 11/20

b)

-9 and 11/20

c)

4 and 11/20

d)

-4 and 11/20

90.

-6.5 + (-0.5)

a)

-7

b)

7

c)

6

d)

-6

91.

- 4.68 + -1.24

a)

- 5.82

b)

3.44

c)

- 5.92

d)

- 3.44

92.

$-4.68+\left(-1.24\right)$

(a)

93.

$9.01-\left(-4.09\right)$

(a)

94.

$\frac{3}{5}+\left(-\frac{1}{5}\right)$

(a)

95.

$-\frac{3}{7}+\frac{4}{5}$

(a)

96.

$\frac{1}{4}-\frac{3}{10}$

(a)

97.

-2.7 - 1.8

a)

-4.5

b)

-5.2

c)

3.6

d)

-0.9

98.

Rewrite the opposite of the sum as a sum of its opposites.

$-\left(-5\ +\ 7\frac{1}{3}\right)$

a)

$\left(5\ +\ 7\frac{1}{3}\right)$

b)

$-5\ +\ \left(-7\frac{1}{3}\right)$

c)

$5\ +\left(-7\ \frac{1}{3}\right)$

d)

$-5+7\frac{1}{3}$

99.

Rewrite the mixed number as a sum.

$2\frac{1}{3}$

a)

$2+\frac{1}{3}$

b)

$-2+\frac{1}{3}$

c)

$2+\left(-\frac{1}{3}\right)$

d)

$-2+\left(-\frac{1}{3}\right)$

100.

Rewrite the mixed number as a sum.

$-4\frac{3}{5}$

a)

$4+\frac{3}{5}$

b)

$-4+\frac{3}{5}$

c)

$4+\left(-\frac{3}{5}\right)$

d)

$-4+\left(-\frac{3}{5}\right)$

101.

Rewrite the sum as a mixed number.

$7+\frac{2}{9}$

a)

$7\frac{2}{9}$

b)

$-7\frac{2}{9}$

102.

Rewrite the sum as a mixed number.

$-17+\left(-\frac{3}{11}\right)$

a)

$17\frac{3}{11}$

b)

$-17\frac{3}{11}$

103.

Add $5\frac{3}{5}+7$

a)

$2\frac{3}{5}$

b)

$12\frac{2}{5}$

c)

$12\frac{3}{5}$

d)

$-2\frac{2}{5}$

104.

$\frac{1}{4}-\left(-\frac{3}{4}\right)$

a)

1

b)

-1

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

105.

$-4.68+\left(-1.24\right)$

a)

-5.92

b)

5.92

c)

-3.44

d)

3.44

106.

Add the rational numbers.

a)

-4

b)

4

c)

37

d)

-37

107.

Add. $8\ +\left(-3\frac{1}{4}\right)$

a)

$4\ \frac{3}{4}$

b)

$5\frac{1}{4}$

c)

$11\frac{1}{4}$

d)

$-11\frac{1}{4}$

108.

What is the difference of the given problem?

a)

b)

c)

d)

109.

0.6 + 0.15

a)

0.21

b)

-2.1

c)

0.75

d)

0.45

110.

-0.7 - (-1.03)

a)

0.33

b)

-1.33

c)

-1.67

d)

1.73

111.

34.5 + (-7)

a)

-41.5

b)

41.5

c)

-27.5

d)

27.5

112.

-6.5 + (-0.5)

a)

-7

b)

7

c)

6

d)

-6

113.

- 3/4 - (-2/3)

a)

1/12

b)

-1/12

c)

-17/12

d)

_1 5/12

114.

1/4 - (3/10) =

a)

1/20

b)

-1/20

c)

11/20

d)

-11/20

115.

Find the difference. Be sure to simplify.
-1⅔ - (-1 ⅘)

a)

-2/15

b)

2/15

c)

-3 7/15

d)

2 2/15

116.

- 1/3 + (-1/6)

a)

-1/2

b)

-2/6

c)

1/3

d)

-2/18

117.

Find -6.23 + 7.5

a)

13.73

b)

1.3

c)

-1.27

d)

1.27

118.

Penny and her cousins each have a different bank balance. What is the sum of all the accounts?

a)

-3

b)

7

c)

-2

d)

4

119.

Wai and Kuri were digging in the sand at the beach. Wai dug a hole that was 15 inches below the surface and Kuri dug a hole that was 9 inches below the surface. Find the difference in the depths of their holes.

a)

24 inches

b)

6 inches

c)

-6 inches

d)

20 inches

120.

Jerry bought 6.95 lbs of cherry and lime jelly beans for his birthday party. If 1.75 lbs were cherry flavor, how many pounds were lime flavor?

a)

5.2

b)

8.7

c)

9.7

d)

5.02

121.

Nancy was buying food for her birthday party. She bought a 52.93 oz bag of barbeque chips and a 79.6 oz bag of regular chips. How many ounces did she buy all together?

a)

132.53 ounces

b)

-33.33 ounces

c)

26.77 bags

122.

Narcisse took $143.52 with her to the mall. She spent $64.99 on clothes, $42.67 on movies, and $17.28 on food. How much money did Narcisse have left after she went shopping?

a)

$18.58

b)

$78.53

c)

$124.94

d)

$35.86

123.

Marcos has a board that is 10 feet long. The picture shows two pieces that he cut off to repair a fence.
What is the length of the piece of board that remains?

a)

$4\ \frac{5}{6}$

b)

$2\ \frac{3}{8}$

c)

$3\ \frac{5}{8}$

d)

$7\ \frac{5}{8}$

124.

Julia is on the high school track team. She runs the 100-meter dash. The table shows her times for the last four races she ran. What is the difference between her fastest and slowest times?

a)

1.027 seconds

b)

1.223 seconds

c)

0.154 seconds

d)

1.177 seconds

125.

Jenny finished a bike race in 42.4 minutes. Jason finished the race $14\ \frac{1}{4}$ minutes sooner than Jenny finished it. How many minutes did it take Jason to finish the race?

a)

28.25 minutes

b)

56.65 minutes

c)

28.15 minutes

d)

18.49 minutes

126.

Mr. Wilfred used a full 2 liter bottle of liquid soap to fill two soap containers.

- He put 0.475 liters of soap in the first container.

- He put 0.35 liters of soap in the second container.

How many liters of liquid soap remained in the bottle?

a)

0.825 L

b)

0.625 L

c)

1.175 L

d)

1.49 L

127.

Jonah poured $\frac{4}{5}$ cup of cold water into an empty bowl. Then he mixed in 0.6 cup of hot water. What was the total amount of water in the bowl?

a)

$1\frac{2}{5}$

b)

$1\frac{3}{10}$

c)

$\frac{2}{3}$

d)

$1\frac{1}{5}$

128.

Ms. Stern placed $\frac{1}{4}$ pound of sugar, $\frac{1}{2}$ pound of flour, and $\frac{1}{8}$ pound of salt in a mixing bowl. How much sugar, flour, and salt is in the bowl?

a)

$\frac{7}{8}$

b)

$\frac{3}{4}$

c)

$1\frac{1}{8}$

d)

$1\frac{1}{4}$

129.

What is the range in temperatures if the high is 78 degrees and the low is -23 degrees?

(a)

130.

Jim biked

2\ \frac{3}{4}

miles on Monday and then

3\ \frac{5}{8}

miles on Tuesday. How many miles did he bike in total?

(a)

Unit 6: Add and subtract Rational Numbers

Total questions: 130

Worksheet time: 5hrs 44mins

Similar Resources on Wayground