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Integers
Math
Middle School Math

 Name _____________________________ Date ___________________
Integers
Write an integer to represent each description.
 1 The football player had a 5 yard loss on the play.
 2 17 units to the left of -6 on a number line.
 3 17 units to the right on a number line.
 4 18 below zero.
 5 A loss of \$36,053 on an investment.
 6 Deposit \$1,821 into a bank account.
 7 * This is a pre-made sheet.Use the link at the top of the page for a printable page.
 8 A gain of sixteen pounds.
 9 A loss of twelve pounds.
 10 The football player had a 13 yard gain on the play.

Put the integers in order from least to greatest.
 11 9, 6, -53, 28, -68, -46, -19, 21, -33, 19, -20
 12 49, 63, -47, -13, -21, 9, 69, 6
 13 -6, 3, -12, -8, 15, -13, 4, 10, -14, 2, 11
 14 4, -22, 37, 69, -4

Complete.
15.
 -29 - 10
16.
 -20 - -44
17.
 -28 + -36
18.
 25 + 38
19.
 -44 - 6
20.
 30 - -33
21.
 21 + 27
22.
 -40 + 8
23.
 -29 - -47

Complete.
24.
 37 + -4 + 43
25.
 -48 + -38 + -27 + -23
26.
 -25 - ( -33 - 38 - -10 - 20 )
27.
 -41 - -6
28.
 -7 + -13 + -31 + 12
29.
 -5 - 24 - 5

 Key #2
Complete.
30.
 20 ÷ 4
31.
 -33 ÷ 11
32.
 27 × 34
33.
 -19 × 39
34.
 -49 × 21
35.
 14 × 15
36.
 -38 ÷ 19
37.
 -125 ÷ -25
38.
 -14 × -15

Complete.
39.
 36 × -30 - -39 + 23
40.
 18 + 37 - -49
41.
 10 - -40
42.
 46 + ( 7 - 52 ÷ 4 + 39 )
43.
 47 × 41
44.
 -44 ÷ -11 - -49

Fill in the missing negative signs to complete each equation.
45.
 ___42 - ___9 × ___10 + ___9
=
 -123
46.
 ___21 - ___38 × ___22 - ___45 + ___31
=
 -891
47.
 ___15 + ___30
=
 -15

Complete.
48.
|
 19 + -37
|
+
|
 -42 + -16
|

49.
|
 40 + 12
|

 50 |-15|
51.
|
 -33 - 32
|
-
|
 -5 - 43
|

52.
|
 45 - -32
|

53.
|
 -29 + 35
|
-
|
 29 - -28
|

 Key #2
Compare. Write <, >, or =.
54.
 13 _______ -20

55.
 -17 _______ -16

56.
 -30 - -32
_______
 27 - -27

57.
|
 -25 - 12
|
_______
|
 -24 + -40
|

58.
 -3 _______ 11

59.
 -27 - -43
_______
 41 - -22

Solve.
 60 -12   =   3a
61.
 b7
=   -1

 62 n ÷ 36   =   -2
 63 15   =   -3a
 64 -2b   =   -22
65.
 b-4
=   -2

Complete.
 66 Give 3 integers whose sum is -12.Use 2 negative integers and 1 positive integer.
 67 Consider the following operation: “multiplying a positive number by negative 1.” Explain a rule that will tell you whether the result of this operation is positive or negative no matter how many times the operation is performed.

Solve.
 68 -63   =   -7a
 69 -36 + y   =   -9
70.
 1-8
b     =
 8-8

 71 70 + y   =   -4
 72 x + -30   =   331 + -383
73.
 b-6
=   7

 Key #2
Complete.
74.
 -1.5 + 23
75.
 16.7 + -11
76.
 -10.8 - 15
77.
 33 - -16.2
78.
 -5 + 43
79.
 -10.4 - 42
80.
 -12.7 + 33
81.
 9.9 - -39
82.
 -40 - 32

Complete.
83.
 -18.8 - ( -1.7 - 15 - -12 ) - 22
84.
 ( -11.5 + 43 + -48 + -7.9 ) - -9.5
85.
 -22 + -9.8 + -18
86.
 -5.1 - 42
87.
 -10 + 22 + -0.9 + 1
88.
 7 + 22 + 2.2 + 17.6 + 8

Complete.
89.
 99 ÷ -11
90.
 54.6 ÷ -7.8
91.
 32 × -22
92.
 -11 × -44
93.
 -28 ÷ 7
94.
 2.6 × 32
95.
 -72 ÷ 8
96.
 22 × 16.8
97.
 7.2 × -14

Complete.
98.
 8 - 132 ÷ -12 + 23 + 4
99.
 -84.7 ÷ 12.1 + -13.6 + -8.9
100.
 42 - 6.3
101.
 -16.4 - 4.5 + 32
102.
 33 × -4
103.
 33 - 18.8 + 12

 Key #2
Fill in the missing negative signs to complete each equation.
104.
 ___8.2 - ___1.4
=
 -9.6
105.
 ___3 + ___18.1 + ___36
=
 -51.1
106.
 ___12.1 + ___13.4 × ___4 - ___28
=
 -13.5

Complete.
 107 Mr. Waffle is a circus clown. He starts the day with seventy-nine pieces of candy. At the end of the day he has given away 333 pieces of candy. How many more pieces of candy did he have to get, in addition to his original seventy-nine, to be able to give away that many pieces?
 108 In some places eggs are sold by the score (20) while in others they are sold by the dozen (12). What is the smallest number of eggs that could be purchased either by the score or by the dozen, such that the same number of eggs was purchased either way?

Complete.
 109 Caleb has not been too successful when running the quarterback sneak play for the Smallville football team this year. On five attempts, he has achieved the following results (in yards): 1, -2, -1, -3, and -4. What is his average yardage on the quarterback sneak? Round your answer to the nearest tenth.
 110 The water potential in one plant cell was calculated to be -3 bar. The water potential in another cell was found to be -11 bar. What was the difference in water potentials? Note: the bar is a pressure unit equal to about 14.5 PSI.

Complete.
 111 A racecar goes from 142 MPH to zero MPH in 19 seconds. What is the car's acceleration? Round your answer to the nearest tenth.
 112 During the football game, Timothy caught three passes. One was for a touchdown and went 52 yards. The other was for a first down and was for 11 yards. The other was on a screen pass that did not work so well and ended up a gain of -11 yards. What was the total yardage gained by Timothy on the pass plays?

Sample
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