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Unit 8 Adding and Subtracting Rational Numbers Review

Total questions: 100

Worksheet time: 5hrs 58mins

Name
Class
Date
1.

Rewrite the problem as addition.


-5.66 - (-4.1)

a)

5.66 + (-4.1)

b)

-5.66 + 4.1

c)

-5.66 + (-4.1)

d)

-5.66 - 4.1

2.
What is the value of 18 - 23.2 ?
a)
-5.2
b)
-5.8 
c)
5.2
d)
5.8
3.
-1 7/8 + (-3 1/2)
a)
5 3/8
b)
-5 3/8
c)
1 5/8
d)
-1 5/8
4.
2 6/9 + (- 5 1/4)
a)
7 11/12
b)
-7 11/12
c)
2 7/12
d)
-2 7/12
5.
-7 - 2
a)
-9
b)
9
c)
5
d)
-5
6.
 ¼ − (-¾)= 
a)
-1/2
b)
4/0
c)
1
d)
None of the above
7.
- 31 + - 7
a)
24
b)
-24
c)
- 38
d)
38
8.
- 12 + - 8
a)
- 20
b)
20
c)
4
d)
-4
9.

What is the value of (-4) + 8 - 5 ?

a)

-1

b)

1

c)

7

d)

-9

10.

Jilian borrowed $15 from her dad. She then babysat and earned $12. She gave her dad that money. How much does she still owe her dad?

a)

$3

b)

17

c)

$12

d)

$15

11.

The temperature outside was 15 degrees. It dropped to -12 degrees at night. How much did the temperature change?

a)

-3 degrees

b)

-27 degrees

c)

3 degrees

d)

27 degrees

12.
If the temperature in Chicago is -5 degrees and the temperature in Moscow is 8 degrees colder. What is the temperature in Moscow?
a)
-3 degrees
b)
-13 degrees
c)
3 degrees
d)
13 degrees
13.
Find  -6.23 + 7.5
a)
13.73
b)
1.27
c)
-1.27
d)
-13.73
14.
-16.75 - (-12.15)
a)
-3.90
b)
3.90
c)
-28.90
d)
-4.60
15.

Sharon went snorkeling on her vacation. She starts on a boat that is 2 feet above sea level. She jumps into the water and dives 10 feet below the surface of the water. What is her change in elevation?

a)

12

b)

-12

c)

8

d)

-8

16.

Madison’s checking account had a balance of -$12. Then she charged her debit card for $15. On Friday, she deposited $55 for babysitting her cousin. What is her new account balance?

a)

58

b)

28

c)

-52

d)

-13

17.

Solve: -4 + (-2) - (-9) =

a)

15

b)

11

c)

-15

d)

3

18.

Jason's checking account balance was $345.43. Jason withdrew $160.78 three times. What is his current balance?

a)

136.91

b)

-136.91

c)

184.65

d)

-184.65

19.

add. -3 ⅕ + (-2 ¾) =

a)

-5 (19/20)

b)

5 (19/20)

c)

-9/20

d)

9/20

20.

Subtract. -⅔ - (-⅞ ) =

a)

-5/24

b)

5/24

c)

-9/11

d)

9/11

21.
The temperature changed from 3 degrees below zero at midnight to 7 degrees below zero at 2 a.m. How much did the temperature decrease?
a)
5 degrees
b)
4 degrees
c)
10 degrees
d)
it stayed the same
22.
The high temperature Monday was 4 degrees. The low temperature was -7 degrees. What is the difference between the high and low temperatures?
a)
3 degrees
b)
12 degrees
c)
11 degrees
d)
10 degrees
23.
The temperature at 6:00 was 9 degrees below zero.  The temperature dropped to 11 degrees below zero at 8:00. What is the difference between temperatures? 
a)
18 degrees
b)
20 degrees
c)
2 degrees
d)
0 degrees
24.
11+(-3)
a)
-8
b)
8
c)
14
d)
-14
25.
You wrote two checks for $30 each. Then, you withdrew $35. Finally, you deposited $20. What was the overall change in your account?
a)
$75
b)
$-55
c)
$5
d)
$-75
26.
The temperature on January 2 was -6 degrees. The temperature on February 8 was 12 degrees. What was the difference between the two temperatures?
a)
18 degrees
b)
6 degrees
c)
-18 degrees
d)
-6 degrees
27.
1 + 4 =
a)
3
b)
5
c)
14
d)
-5
28.
-3 + 8 =
a)
5
b)
-5
c)
11
d)
-38
29.
-6.4 + -0.21 =
a)
-0.85
b)
6.2
c)
-6.61
d)
-6421
30.
-10 - 5 =
a)
5
b)
105
c)
-5
d)
-15
31.
-9 + -6 =
a)
-96
b)
-3
c)
-15
d)
3
32.
7 +  -8 =
a)
1
b)
-15
c)
-78
d)
-1
33.
1 - 6 =
a)
5
b)
-7
c)
16
d)
-5
34.
-7 + (-19)
a)
-26
b)
-12
c)
12
d)
26
35.
57 + (-93)
a)
36
b)
150
c)
-36
d)
-150
36.
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 progress on his math test?
a)
5 + 9 = 14
b)
-5 + -9 = -4
c)
-5 + -9 = -14
d)
5 + -9 = -4
37.
A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.
a)
-9 + (-22) = -13
b)
9 + (-22) = 13
c)
9 + (-22) = -13
d)
none
38.
Evaluate:  -19 -10
a)
9
b)
-9
c)
-29
d)
29
39.
−28+(−8)=
a)
36
b)
−36
c)
−20
d)
20
40.
-40 + 15.05
a)
55.05
b)
24.95
c)
-24.95
d)
14.65
41.
8/15  +  (-6/15)
a)
14/15
b)
-2/15
c)
2/15
d)
-14/15
42.
3 + -7
a)
10
b)
4
c)
-10
d)
-4
43.
10 + (-4) = ?
a)
-6
b)
6
c)
14
d)
-14
44.
At 2pm, the temperature was 15 degrees. By midnight, the temperature dropped by 30 degrees. What is the temperature at midnight?
a)
45 degrees
b)
-45 degrees
c)
15 degrees
d)
-15 degrees
45.
-22 + (-9)
a)
-11
b)
-31
c)
11
d)
31
46.
-10 + 10
a)
20
b)
0
c)
-20
d)
1,000,000
47.
28 + (-30)
a)
-2
b)
2
c)
58
d)
-58
48.
34.5 + (-7)
a)
-41.5
b)
41.5
c)
-27.5
d)
27.5
49.
-7.8 + (-0.8)
a)
8.6
b)
-8.6
c)
7
d)
-7
50.
⅗+(−⅕)=
a)
b)
−⅖
c)
51.
7.19 + (-5.34)
a)
12.53
b)
-12.53
c)
1.85
d)
-1.85
52.
5.7 + -18 + -5.7
a)
21
b)
3
c)
-18
d)
15
53.
-14 + 9 + 13
a)
8
b)
33
c)
-9
d)
-33
54.
-½ + -⅔
a)
3/5
b)
-1 1/6
c)
1
d)
3/5
55.
-10⅚ + 2⅕
a)
-8 19/30
b)
11 1/30
c)
-10 6/11
d)
10 6/11
56.
6 + -¾
a)
1
b)
-1
c)
5 1/4
d)
1/2
57.
Mrs. Johnson deposited two checks, valued at $47.45 and $135.90, into her checking account last week.  Then, she wrote three checks for $16.99, $42.49, and $53.85 out of this account to pay her monthly bills.  What is the total change of Mrs. Johnson's checking account after all checks are processed?
a)
$65.02
b)
$70.02
c)
$283.68
d)
$79.02
58.
For Halloween, Maria received 3¾ pounds of candy in the first hour and another 9⅔ pounds the second hour.  How much candy did she get total?
a)
9 ⅝
b)
10⅔
c)
d)
13 5/12
59.
Make sure your final answer is in simplest form!
a)
-1/2
b)
-11/8
c)
-22/32
60.
Make sure your final answer is in simplest form!
a)
-5/3
b)
-10/12
c)
0
61.
Make sure your final answer is in simplest form!
a)
147/100
b)
147/300
62.
Make sure your final answer is in simplest form!
a)
47/24
b)
449/24
c)
98/11
63.
Make sure your final answer is in simplest form! (Hint: use subtraction method)
a)
-1
b)
-1/2
c)
-3/5
64.
Remember to watch the signs of the fractions!
a)
-43/45
b)
43/45
c)
-867/45
d)
867/45
65.
8/15  +  (-6/15)
a)
14/15
b)
-2/15
c)
2/15
d)
-14/15
66.
- 1/3 + (-1/6)
a)
-1/2
b)
-2/6
c)
1/3
d)
-2/18
67.
 ¼ − (-¾)= 
a)
-1/2
b)
4/0
c)
1
d)
None of the above
68.
9 + -6.73
a)
2.27
b)
-2.27
c)
15.73
d)
-15.73
69.
-3/7 + 4/5
a)
43/35
b)
-13/35
c)
-43/35
d)
13/35
70.
Find  -6.23 - 7.5
a)
13.73
b)
1.3
c)
-1.2
d)
-13.73
71.
-15 + -8 =
a)
23
b)
-23
c)
7
d)
-7
72.
13 + -21 =
a)
34
b)
-34
c)
8
d)
-8
73.
Which addition expression is equivalent to 7 - (-3)?
a)
-3 + 7
b)
-7 + 3
c)
7 + 3
d)
3 + (-7)
74.
-25 - (-12) =
a)
13
b)
-13
c)
37
d)
-37
75.
23 - (-5) =
a)
28
b)
-28
c)
18
d)
-18
76.
Find the difference between an elevation of 33 feet above sea level and 22 feet below sea level.
a)
11 feet
b)
20 feet
c)
50 feet
d)
55 feet
77.
One day in Texas it was 32 degrees and the next day it was -5 degrees. What was the difference in the temperature of the two days?
a)
27 degrees
b)
12 degrees
c)
37 degrees
d)
50 degrees
78.

-6 − 2

a)

8

b)

-4

c)

4

d)

-8

79.

-5 − (-7)

a)

-12

b)

12

c)

2

d)

-2

80.

10 + 5 − (-2)

a)

17

b)

13

c)

-17

d)

-13

81.
Emily is a diver. Today she descended to a depth of 40 feet below sea level. Then she swam up 10 feet and descended another 4 feet. How far below sea level is Emily now?
a)
-34 feet
b)
-54 feet
c)
54 feet
d)
-26 feet
82.
Cinderella's castle has an elevation of 200 feet above sea level. The elevation of Sleeping Beauty's castle is 100 feet less than the elevation of Cinderella's castle. What is the elevation of Sleeping Beauty's castle?
a)
100 feet 
b)
-100 feet
c)
300 feet
d)
-300 feet
83.
On Friday, Elsa made withdrawals of $50, $60, and $17 from her savings account. On Monday she made a deposit of $135. How much money is now in Elsa's savings account?
a)
$262
b)
$8
c)
-$8
d)
-$262
84.
At 10 p.m. the temperature in Agrabah (where Aladdin lives) was 15 degrees C. By midnight (12 at night), the temperature was -10 degrees C. Write an integer to represent the temperature change from 10pm to midnight.
a)
-25 degrees
b)
25 degrees
c)
-10 degrees
d)
10 degrees
85.
The high temperature Monday was 4 degrees. The low temperature was -7 degrees. What is the difference between the high and low temperatures?
a)
3 degrees
b)
12 degrees
c)
11 degrees
d)
10 degrees
86.

How do you say this problem in words?

-3 − (-10)

a)

negative three minus negative ten

b)

three minus ten

c)

negative three minus ten

d)

negative three subtract ten

87.

24 + (-6)


can be rewritten as:

a)

24 - 6

b)

24 + 6

c)

-24 - 6

d)

-24 + 6

88.

-4 − (-2)


can be rewritten as:

a)

-4 + 2

b)

-4 - 2

c)

4 + 2

d)

4 - 2

89.

-8 + (-2)

a)

-6

b)

-10

c)

10

d)

6

90.
Use the counters to find the sum of the integers. 
a)
-5
b)
-7
c)
5
d)
7
91.
Use the counters to find the sum of the integers. 
a)
17
b)
-2
c)
-1
d)
-17
92.
Match the integer addition problem with the graph.
a)
4 + (-5) = -1
b)
-5 + 4 = -1
c)
4 + (-5) = 0
d)
None of these
93.
Match the integer addition problem with the graph.
a)
6 + (-2) = 6
b)
-2 + 6 = 0
c)
6 + (-2) = 4
d)
None of these.
94.
(-9) + 9
a)
18
b)
-18
c)
0
d)
81
95.
(- 9) + 7
a)
-2
b)
2
c)
16
d)
-16
96.
7 + (-14)
a)
7
b)
21
c)
-21
d)
-7
97.
Rewrite the following subtraction problem as addition:     -2 - (-6)
a)
-2 + 6
b)
-2 + (-6)
c)
2 - (-6)
d)
2 + 6
98.
Use the counters to find the sum of the integers. 
a)
-5
b)
-7
c)
5
d)
7
99.
-7 - (-7)
a)
14
b)
0
c)
-14
d)
1
100.
John had a balance of $22 in his bank account.  He wrote a check for $38.  What is his new balance?
a)
$16
b)
-$16
c)
$60
d)
-$60