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Sample - Click above to make a new math worksheet (PDF).
Name _____________________________
Date ___________________
Integers
Write an integer to represent each description.
1.   The football player had a 3 yard gain on the play.
2.   The opposite of -369.
3.   The opposite of 224.
4.   * This is a pre-made sheet.
Use the link at the top of the page for a printable page.
5.   A loss of twelve pounds.
6.   A profit of $32,422 on an investment.
7.   The stock market went up 161 points today.
8.   A gain of seven pounds.
9.   An altitude of 6100 feet.
10.   60 above zero.

Put the integers in order from least to greatest.
11.   -8, -38, 21, 14, 29, -9, 43, -35, 17, 4, -20
12.   -9, -2, -7, 5, 11, 3, 6, -10
13.   -17, 12, -13, 57, -33, -47, 8, -8, 79, 17, -64
14.   55, -59, 58, -55, 60

Complete.
15.  
 -20  -  45
16.  
 11  +  -24
17.  
 8  -  -25
18.  
 -5  +  21
19.  
 1  +  -6
20.  
 -22  -  31
21.  
 -3  +  -6
22.  
 49  -  46
23.  
 -37  -  -29

Complete.
24.  
 27  +  -11  +  31
25.  
 43  -   ( 26  -  -46  -  -27   +  14
26.  
 -10  +  -3  +  -34  +  -19  +  4
27.  
 -44  -  16
28.  
 36  -  -3  -  14
29.  
 6  +  27  +  37  +  -17

 

Key #2
aKey #2
Complete.
30.  
 -19  ×  -39
31.  
 46  ×  -2
32.  
 -66  ÷  -33
33.  
 -20  ÷  4
34.  
 35  ×  -2
35.  
 16  ×  41
36.  
 -416  ÷  26
37.  
 -48  ÷  12
38.  
 47  ×  -29

Complete.
39.  
 28  -  32  ×  13  +  -16
40.  
 -38  -  7
41.  
 -40  ÷  5  -  -36
42.  
 2  +  -5  +  -49  ÷  7  -  -16
43.  
  ( 57  ÷  3  -  34   -  -21
44.  
 -41  -  -2

Fill in the missing negative signs to complete each equation.
45.  
 ___29  -  ___21  -  ___24  +  ___2  ×  ___34
  =  
 -6
46.  
 ___19  +  ___31  -  ___13  ×  ___46
  =  
 548
47.  
 ___300  ÷  ___20
  =  
 -15

Complete.
48.  
|
 -16  -  9
|
  +  
|
 -34  +  26
|


49.  
|
 -19  +  24
|


50.   |-10|

51.  
|
 -32  -  -4
|
  -  
|
 45  +  20
|


52.  
|
 10  +  42
|


53.  
|
 41  +  -37
|



 

Key #2
aKey #2
Compare. Write <, >, or =.
54.  
-3  _______  3

55.  
|
 25  +  -41
|
  _______  
|
 23  +  -45
|

56.  
 -7  -  -27
  _______  
 -31  -  -20

57.  
 -22  +  1
  _______  
 29  -  -8

58.  
 20  +  32
  _______  
 -26  +  49

59.  
-14  _______  12


Solve.
60.   84   =   -7a
61.   -11   =   1a
62.   n ÷ -24   =   -2
63.  
b

5
   =   -5

64.   -6b   =   -66
65.   -56   =   7a

Complete.
66.   Give 4 integers whose product is less than zero and whose sum is -25.


67.   The opposite of a number is also called the additive inverse. Define what an opposite of an integer is, and find an example of one. Also, explain why it is the additive inverse.


Solve.
68.   x + -14   =   -21
69.   n ÷ -24   =   7
70.   -31   =   a - -30
71.   -48   =   4a
72.   -16 + y   =   23
73.   x + -21   =   6 + 10

 

Key #2
aKey #2
Complete.
74.  
 42  +  37
75.  
 -48  +  -5.1
76.  
 42  -  -44
77.  
 -17.2  -  45
78.  
 -25  +  -13.9
79.  
 9.1  +  42
80.  
 -4.3  -  -31
81.  
 -25  -  -8.5
82.  
 1.2  -  -23

Complete.
83.  
 -1.1  +  15.9  +  32  +  24
84.  
 33  -   ( -6  -  32  -  -8.1  -  11 
85.  
 23  +  -0.8  +  47
86.  
 8  -  44
87.  
 1.2  -   ( 42  -  -16.6  -  32   -  -32
88.  
 41  -  33  -  3.5

Complete.
89.  
 -23  ×  36
90.  
 -141.6  ÷  8
91.  
 108  ÷  -18
92.  
 -7.3  ×  -13.4
93.  
 22  ×  15.4
94.  
 25.6  ÷  -4
95.  
 -31  ×  -5
96.  
 9  ÷  3
97.  
 33  ×  22

Complete.
98.  
 -6.5  +  45  -  42
99.  
 -43  -   ( 22  ×  9  +  -19.2 
100.  
 23  -  -2.5
101.  
 43  -   ( 42  +  -15.1  -  -110.4  ÷  -9.2   -  1.5
102.  
 -42  +  -49
103.  
 46  -  2.3  -  5.2

 

Key #2
aKey #2
Fill in the missing negative signs to complete each equation.
104.  
 ___6.9  -  _32  ×  ___39
  =  
 357.9
105.  
 ___14  +  ___6
  =  
 -8
106.  
 ___18  -  _22  +  ___2.7  +  ___20  -  ___7.3
  =  
 24

Complete.
107.   During an electronics experiment in your laboratory, you measure the voltage at terminal A on your newly designed circuit. You measure -14 volts. You check the same terminal after making a small change to the circuit and this time you measure -19 volts. What was the voltage difference between the two readings?

108.   Tasha finished the first draft of her history essay. The teacher said it had to be at least seven hundred words long. She counted the words in her draft and found she had 393. How many more words does she need to meet the minimum word count for the assignment?


Complete.
109.   Mr. Bloop put a vial of protein powder in the -25C freezer. It was accidentally left out on the lab bench by one of his students. It had been there for most of the day, and the temperature in the lab was 19C. Once in the freezer, the temperature of the powder began to drop at a rate of 2C every 5 minutes. Assuming the temperature change rate was constant (which it really isn't, but we'll pretend), how long would it take to get to the temperature of the freezer?

110.   Benjamin prepares an ice bath to cool a beaker of reagents. It is rather warm in the room that day (30C), and the beaker begins to cool at a rate of -3C per minute. At that rate how long will it take the beaker to get to 2C?


Complete.
111.   During the football game, Jacob caught three passes. One was for a touchdown and went 45 yards. The other was for a first down and was for 15 yards. The other was on a screen pass that did not work so well and ended up a gain of -8 yards. What was the total yardage gained by Jacob on the pass plays?

112.   There was a 100-mile race at the Megalopolis Race Track. The winning driver had a time of 61 minutes. The next four drivers in order of finish had times (relative to the winning time) of +2, +3.4, +3.7, and +4.1 minutes. The sixth place driver had a time that was 3 minutes slower than the driver ahead of him. What was the sixth place driver's time? Express your answer in hours, minutes, and seconds.


 


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