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Worksheets

RLM - Negative Numbers Operations and Equations

Total questions: 214

Worksheet time: 9hrs 4mins

Name
Class
Date
1.

(3 )+5 =\left(-3\ \right)+5\ =  

(a)  

2.

3 + (5)=3\ +\ \left(-5\right)=  

(a)  

3.

2+(2)=2+\left(-2\right)=  

(a)  

4.

0+(4)=0+\left(-4\right)=  

(a)  

5.

2+4=-2+-4=  

(a)  

6.

2+(3)=2+\left(-3\right)=  

(a)  

7.

(7)+2=\left(-7\right)+2=  

(a)  

8.

12+3=12+3=  

(a)  

9.

(5)+(3)+(1)=\left(-5\right)+\left(-3\right)+\left(-1\right)=  

(a)  

10.

(2)+(4)+3=\left(-2\right)+\left(-4\right)+3=  

(a)  

11.

Integers are....

a)

all numbers but 0

b)

whole numbers that are both positive and negative; includes 0

c)

can be fractions

d)

can not be negative

12.

A numbers Absolute Value is always

a)

positive

b)

negative

c)

either negative or positive

d)

zero

13.

The 5 is(a)<spanclass=The\ \left|5\right|\ is (a) <span class=  

14.

The 6 is (a)<spanclass=The\ \left|-6\right|\ is\ (a) <span class=  

15.

The 100 is (a)<spanclass=The\ \left|100\right|\ is\ (a) <span class=  

16.

The 25 is ...The\ \left|-25\right|\ is\ ...  

(a)  

17.
-3 + (-2)
a)
-5
b)
5
c)
1
d)
-1
18.
-6 + 7
a)
1
b)
-1
c)
13
d)
-13
19.
18 + (-13)
a)
5
b)
-5
c)
21
d)
-21
20.
-7 + (-8)
a)
-15
b)
15
c)
1
d)
-1
21.
3 + (-5)
a)
-2
b)
2
c)
8
d)
-8
22.
1 + 2
a)
3
b)
-3
c)
1
d)
-1
23.
-11 + 15
a)
4
b)
-4
c)
26
d)
-26
24.
3 + (-9)
a)
-6
b)
6
c)
12
d)
-12
25.

-8+4

a)

-4

b)

-12

c)

4

d)

12

26.

-9 + 3

a)

-6

b)

-12

c)

0

d)

5

27.

-7+(-10)=

a)

-17

b)

17

c)

3

d)

-3

28.

When adding integers with similar signs,

a)

ADD the numbers

b)

SUBTRACT the numbers

c)

MULTIPLY the numbers

d)

DIVIDE the numbers

29.

When adding integers with DIFFERENT signs,

a)

ADD them

b)

SUBTRACT them

c)

MULTIPLY them

d)

DIVIDE them

30.

Add (-5) and (+5)

a)

+10

b)

-10

c)

0

d)

-0

31.
3 + (-9)
a)
-6
b)
6
c)
12
d)
-12
32.
-3 + (-2)
a)
-5
b)
5
c)
1
d)
-1
33.
-6 + 7
a)
1
b)
-1
c)
13
d)
-13
34.
18 + (-13)
a)
5
b)
-5
c)
21
d)
-21
35.
-7 + (-8)
a)
-15
b)
15
c)
1
d)
-1
36.
3 + (-5)
a)
-2
b)
2
c)
8
d)
-8
37.
1 + 2
a)
3
b)
-3
c)
1
d)
-1
38.
-11 + 15
a)
4
b)
-4
c)
26
d)
-26
39.
3 + (-9)
a)
-6
b)
6
c)
12
d)
-12
40.

-8+4

a)

-4

b)

-12

c)

4

d)

12

41.

-9 + 3

a)

-6

b)

-12

c)

0

d)

5

42.

-7+(-10)=

a)

-17

b)

17

c)

3

d)

-3

43.

When adding integers with similar signs,

a)

ADD the numbers

b)

SUBTRACT the numbers

c)

MULTIPLY the numbers

d)

DIVIDE the numbers

44.

When adding integers with DIFFERENT signs,

a)

ADD them

b)

SUBTRACT them

c)

MULTIPLY them

d)

DIVIDE them

45.

Add (-5) and (+5)

a)

+10

b)

-10

c)

0

d)

-0

46.
3 + (-9)
a)
-6
b)
6
c)
12
d)
-12
47.
5 - (-9) =
a)
-4
b)
-9
c)
4
d)
14
48.
3 - (-3) =
a)
6
b)
-6
c)
0
d)
-4
49.
5 - (-6)=
a)
11
b)
-11
c)
d)
-1
50.
7 - (-3) =
a)
10
b)
-10
c)
4
d)
-4
51.
14 - (-7) =
a)
21
b)
-21
c)
-7
d)
7
52.
8 - (-9) =
a)
17
b)
-17
c)
-1
d)
1
53.
5 - (-20) =
a)
-25
b)
25
c)
-15
d)
15
54.
45 - (-235)=
a)
280
b)
-280
c)
-276
d)
-1
55.
76 - (-76) =
a)
-456
b)
-135
c)
-152
d)
152
56.
89 - (-98) = 
a)
-3740
b)
-46
c)
187
d)
-187
57.

-2+22

a)

200

b)

-20

c)

20

d)

-22

e)

-202

58.

56 - -566

a)

622

b)

508

c)

-33

d)

98

59.

-10 + -127

a)

-137

b)

-17

c)

-127

d)

192

60.

ANNA OWES JAMES 7$, SHE GAVE HIM 3$ HOW MUCH SHE STILL OWES HIM?

61.

-1946+ (a)   = -1851

62.

-7+85=

a)

90

b)

78

c)

29

d)

17

63.

State the opposite of -5

a)

-10

b)

10

c)

5

d)

55

64.

State the opposite of 496

a)

-496

b)

500

c)

694

d)

-694

65.

To add a negative number _________ its opposite

a)

add

b)

subtract

c)

multiply

d)

divide

66.

To SUBTRACT a negative number _________ its opposite

a)

add

b)

subtract

c)

multiply

d)

divide

67.

true or false

5 + (-2) = 5 + 2

a)

True

b)

False

68.

true or false

3 + (-4) = 3 - 4

a)

True

b)

False

69.

true or false

-6 + (-4) = -6 - 4

a)

True

b)

False

70.

true or false

-1 + (-3) = 1 - 3

a)

True

b)

False

71.

true or false

-3 - (-1) = 3 + 1

a)

True

b)

False

72.

true or false

-7 - (-5) = -7 + 5

a)

True

b)

False

73.

Find the answer

10 + (-3) =

a)

-13

b)

13

c)

7

d)

-7

74.

Find the answer

4 - (-2) =

a)

2

b)

6

c)

-6

d)

-2

75.

State the opposite of -5

a)

-10

b)

10

c)

5

d)

55

76.

State the opposite of 496

a)

-496

b)

500

c)

694

d)

-694

77.

To add a negative number _________ its opposite

a)

add

b)

subtract

c)

multiply

d)

divide

78.

To SUBTRACT a negative number _________ its opposite

a)

add

b)

subtract

c)

multiply

d)

divide

79.

true or false

5 + (-2) = 5 + 2

a)

True

b)

False

80.

true or false

3 + (-4) = 3 - 4

a)

True

b)

False

81.

true or false

-6 + (-4) = -6 - 4

a)

True

b)

False

82.

true or false

-1 + (-3) = 1 - 3

a)

True

b)

False

83.

true or false

-3 - (-1) = 3 + 1

a)

True

b)

False

84.

true or false

-7 - (-5) = -7 + 5

a)

True

b)

False

85.

Find the answer

10 + (-3) =

a)

-13

b)

13

c)

7

d)

-7

86.

Find the answer

4 - (-2) =

a)

2

b)

6

c)

-6

d)

-2

87.

(-3)(-3)

(a)  

88.

7(-5)

(a)  

89.

(-9)(3)

(a)  

90.

4(-4)

(a)  

91.

(-9)(-4)

(a)  

92.

10(-2)

(a)  

93.

10(-4)

(a)  

94.

-10(1)

(a)  

95.

9(-4)

(a)  

96.

(-2)(-1)

(a)  

97.
When adding integers, if the signs are DIFFERENT you...
a)

Add the numbers and attach the sign of the number with higher absolute value

b)

Subtract the numbers and attach the sign of the number with higher absolute value

c)

Multiply the numbers and the sign is negative

d)

Take the absolute value of the numbers and add

98.
When multiplying or dividing a NEGATIVE and NEGATIVE number your result will be...
a)
POSITIVE
b)
NEGATIVE
c)
DEPENDS ON WHICH NUMBER IS LARGER.
99.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
100.
-8+(-2)
a)
-6
b)
-10
c)
10
d)
6
101.

Reorder the following from least to greatest

a)

-10

b)

-5

c)

0

d)

5

e)

10

1)
2)
3)
4)
5)
102.

281=\left|-281\right|=  

(a)  

103.
3(-7)
a)
-21
b)
21
c)
-4
d)
4
104.

Solve 819\frac{-81}{9} .

a)

10

b)

-10

c)

-9

d)

9

105.
-5-(-7)
a)
-12
b)
12
c)
2
d)
-2
106.
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
107.
Find the value:
15 - 100
a)
-85
b)
100
c)
-100
d)
95
108.

-5 + (-3) =

(a)  

109.

-7 + 5 =

(a)  

110.

4 + (-3) =

(a)  

111.

6 - (-3) =

(a)  

112.

8 - 11 =

(a)  

113.

-17 - 1 =

(a)  

114.

147 =\frac{14}{-7\ }=  

(a)  

115.

369=\frac{-36}{9}=  

(a)  

116.

-3(5) =

(a)  

117.

(-7)(-7) =

(a)  

118.
When adding integers, if the signs are DIFFERENT you...
a)

Add the numbers and attach the sign of the number with higher absolute value

b)

Subtract the numbers and attach the sign of the number with higher absolute value

c)

Multiply the numbers and the sign is negative

d)

Take the absolute value of the numbers and add

119.
When multiplying or dividing a NEGATIVE and NEGATIVE number your result will be...
a)
POSITIVE
b)
NEGATIVE
c)
DEPENDS ON WHICH NUMBER IS LARGER.
120.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
121.
-8+(-2)
a)
-6
b)
-10
c)
10
d)
6
122.

Reorder the following from least to greatest

a)

-10

b)

-5

c)

0

d)

5

e)

10

1)
2)
3)
4)
5)
123.

281=\left|-281\right|=  

(a)  

124.
3(-7)
a)
-21
b)
21
c)
-4
d)
4
125.

Solve 819\frac{-81}{9} .

a)

10

b)

-10

c)

-9

d)

9

126.
-5-(-7)
a)
-12
b)
12
c)
2
d)
-2
127.
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
128.
Find the value:
15 - 100
a)
-85
b)
100
c)
-100
d)
95
129.

-5 + (-3) =

(a)  

130.

-7 + 5 =

(a)  

131.

4 + (-3) =

(a)  

132.

6 - (-3) =

(a)  

133.

8 - 11 =

(a)  

134.

-17 - 1 =

(a)  

135.

147 =\frac{14}{-7\ }=  

(a)  

136.

369=\frac{-36}{9}=  

(a)  

137.

-3(5) =

(a)  

138.

(-7)(-7) =

(a)  

139.

(-4) × (-7) =

a)

11

b)

-11

c)

-28

d)

28

140.

-8 × 6 =

a)

24

b)

-24

c)

-14

d)

-48

141.

-3 × 9 =

a)

27

b)

-24

c)

-27

d)

-6

142.

-8 × (-6) =

a)

-14

b)

-24

c)

-48

d)

48

143.

4 × (-8) =

a)

-32

b)

-24

c)

-28

d)

28

144.

64 ÷ (-8) =

a)

8

b)

-8

c)

-7

d)

9

145.

81 ÷ (-9) =

a)

9

b)

-8

c)

-6

d)

-9

146.

(-63) ÷ (-9) =

a)

7

b)

-7

c)

-6

d)

-9

147.

(-36) ÷ 9 =

a)

4

b)

-4

c)

-6

d)

6

148.

(-25) ÷ (-5) =

a)

5

b)

-5

c)

-6

d)

4

149.

(120) ÷ (-10) =

a)

12

b)

-12

c)

-20

d)

120

150.

121÷ (-11) =

a)

12

b)

-11

c)

11

d)

-12

151.

-99 ÷ (-9) =

a)

10

b)

-11

c)

11

d)

-12

152.

-5(0)

a)

-5

b)

5

c)

0

d)

-50

153.

Multiply.

(-1)(-1)(-1)(-2)

a)

-2

b)

2

c)

1

d)

4

154.

(6)÷(3)\left(-6\right)\div\left(-3\right)   

a)

-2

b)

2

c)

3

d)

-3

155.

(10)÷(10)\left(-10\right)\div\left(-10\right)   

a)

1

b)

-1

c)

0

d)

10

156.

(12)×3\left(-12\right)\times3   

a)

36

b)

-36

c)

-15

d)

-9

157.

(8)÷0\left(-8\right)\div0   

a)

-8

b)

8

c)

0

d)

undefined

158.

positive x positive

a)

positive

b)

negative

159.

positive x negative

a)

positive

b)

negative

160.

negative x negative

a)

positive

b)

negative

161.

When multiplying two integers with the same sign, the answer is always:

a)

negative

b)

zero

c)

positive

d)

It does not change

162.

(4) × (6) =\left(-4\right)\ \times\ \left(-6\right)\ =  

(a)  

163.

If you are multiplying or dividing an odd number of negative numbers, the answer will be:

a)

negative

b)

zero

c)

positive

d)

one

164.

15 x (-1)

165.

(13) × 8\left(-13\right)\ \times\ 8  =

a)

-24

b)

104

c)

0

d)

-104

166.

When dividing two integers with different signs, the answer is always:

a)

the same

b)

zero

c)

negative

d)

positive

167.

Solve: 8   4\frac{-8}{\ \ \ 4}  =

a)

-2

b)

12

c)

2

d)

-12

168.

(24) ÷ (8)=\left(-24\right)\ \div\ \left(-8\right)=  

(a)  

169.

When dividing two integers with the same sign, the answer is always:

a)

I do not get it

b)

negative

c)

zero

d)

positive

170.

(3) × (3)×2=\left(-3\right)\ \times\ \left(-3\right)\times2=  

a)

-8

b)

18

c)

8

d)

-18

171.

When multiplying two integers with different signs, the answer is always:

a)

negative

b)

zero

c)

positive

d)

the same

172.

7 x 14=

173.

12 ÷ (4)=12\ \div\ \left(-4\right)=  

a)

-4

b)

-3

c)

3

d)

2

174.
2y + 10 = 28
a)
y = 9
b)
y = 56
c)
y = 28
d)
y = 10
175.
What is the first step in solving 2y - 9 = 5
a)
Subtract 9
b)
Add 9
c)
Multiply by 2
d)
Divide by 2
176.
What is the inverse operation of division?
a)
addition
b)
division
c)
multiplication
d)
subtraction
177.

Solve to find the value of the variable

a)

A

b)

B

c)

C

d)

D

178.

Solve to find the value of the variable

a)

A

b)

B

c)

C

d)

D

179.

x - 62 = 123

How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

180.

WRITE AN EQUATION

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

a)

7x+6=331

b)

13x=331

c)

6x+7=331

d)

331-7=6x

181.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

7x- 24=10

c)

7x+ 10=24

d)

10+x=14

182.
What is 7 x - 3? 
a)
21
b)
-21
183.
What is -18 ∕ 3
a)
-6
b)
6
184.

When adding integers with similar signs,

a)

ADD the numbers

b)

SUBTRACT the numbers

c)

MULTIPLY the numbers

d)

DIVIDE the numbers

185.

When adding integers with DIFFERENT signs,

a)

ADD them

b)

SUBTRACT them

c)

MULTIPLY them

d)

DIVIDE them

186.
45 + (-18)
a)
34
b)
27
c)
-27
d)
25
187.
-15 - 4
a)
11
b)
-11
c)
19
d)
-19
188.
19 - (-13)
a)
6
b)
32
c)
24
d)
18
189.
-12 = 5r + 8
a)
-4
b)
4
c)
3
d)
6
190.
-6p - 3 = 9 
a)
-2
b)
2
c)
6
d)
3
191.
-14 = 4x - 2 
a)
-3
b)
3
c)
6
d)
1
192.
−7 × −8 =
a)
56
b)
-56
c)
15
d)
1
193.
−27 ÷ −9 =
a)
3
b)
-3
c)
243
d)
-243
194.
2y + 10 = 28
a)
y = 9
b)
y = 56
c)
y = 28
d)
y = 10
195.
What is the first step in solving 2y - 9 = 5
a)
Subtract 9
b)
Add 9
c)
Multiply by 2
d)
Divide by 2
196.
What is the inverse operation of division?
a)
addition
b)
division
c)
multiplication
d)
subtraction
197.

x - 62 = 123

How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

198.
-6p - 3 = 9 
a)
-2
b)
2
c)
6
d)
3
199.
-14 = 4x - 2 
a)
-3
b)
3
c)
6
d)
1
200.
Solve the equation. Check your solution.
a)
-90
b)
90
c)
-40
d)
-180
201.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
202.
The goal of solving two-step equations is to:
a)
francine
b)
Find the coefficient 
c)
Find the value of the variable
203.
-4x+1=21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
204.
Solve each equation for the following variable. 
1.     x - 4 = 12
a)
x = 8
b)
x = 16
c)
x = -8
d)
x = 3
205.
6.    -3x + 5 = -13
a)
x = -5
b)
x = 2
c)
x = -6
d)
x = 6
206.
12 = 4 - 4x
a)
10
b)
8
c)
4
d)
2
207.
2x - 9 = -35
a)
-13
b)
13
c)
22
d)
-22
208.
-8x = -96
a)
x = -12
b)
x = 12
c)
x = 13
d)
x = 14
209.
4x + 10 = -26
a)
4
b)
-4
c)
-9
d)
9
210.
c + - 12 = 38
a)
c = -19/6
b)
c = -456
c)
c = 26
d)
c = 50
211.
x -2 = -1
a)
x = -1
b)
x = 1
c)
x = 3
d)
x = -3
212.
-9s = -63
a)
s = 7
b)
s = 72
c)
s = -7
d)
s = 54
213.
-8y = -3y -15
a)
3
b)
-3
c)
5
d)
-5
214.
-30 - 5x = 120
a)
x = 18
b)
x = -18
c)
x = 30
d)
x = -30