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Worksheets

Unit 2 Mega Review

Total questions: 198

Worksheet time: 17hrs 30mins

Name
Class
Date
1.

Which of the following statements are true? SELECT ALL that apply.

a)

-13.5 and 13.5 are opposites.

b)

The opposite 152\frac{15}{2}   of is 215\frac{2}{15}  .

c)

The value of 4.1 is greater than its opposite -4.1.

d)

The value of 7 35-7\ \frac{3}{5}   is greater than its opposite, 7 357\ \frac{3}{5}   .

2.
The opposite of a negative is always a ___________
a)
positive
b)
negative
c)
absolute value
d)
inequality
3.
What is true about opposites?
a)
They are on the same side of zero
b)
They are the same distance away from zero.
c)
They are not really opposites
4.

Which of the following number lines shows 2 38-2\ \frac{3}{8}   and its opposite plotted correctly on the number line?

a)
b)
c)
d)
5.

On a horizontal number line, positive numbers are

to the ________ of zero.

a)

Left

b)

Up

c)

Right

d)

Down

6.

On a horizontal number line, negative numbers are

to the ________ of zero.

a)

Left

b)

Right

c)

Above

d)

Below

7.

What letter should -6 be on the number line?

a)

A

b)

B

c)

C

d)

D

8.

What letter should 20 be on the number line?

a)

A

b)

B

c)

C

d)

D

9.

Order from least to greatest:  -5, -17, 3, 0 

Draw a number line to help you.

a)
3, 0, -5, -17
b)
3, 0, -17, -5
c)
-17, -5, 0, 3
d)
-5, -17, 0, 3
10.
Order from greatest to least: -12, 15, -1, 3, 
a)
15, 3, -1, -12
b)
15, 3, -12, -1
c)
-1, -12, 3, 15
d)
-12, -1, 3, 15
11.
What is the opposite of 10? 
a)
10
b)
-10
c)
0
d)
20
12.
What is the opposite of -3?
a)
3
b)
0
c)
-1/3
d)
1/3
13.
Which integer represents a gain of 10 yards on a football play?
a)
+10
b)
-10
14.
Which integer represents a withdrawal from your bank account of $50
a)
-$50
b)
$50
c)
+$50
15.
Opposite of 142
a)
-142
b)
142
c)
+142
16.

Order from smallest to greatest:

8, 4, -5, 12, -14, 3

a)

3, 4, -5, 8, 12, -14

b)

-14, -5, 3, 4, 8, 12

c)

12, -14, -5, 3, 4, 8

d)

-5, -14, 3, 4, 8, 12

17.
Express an integer: a debt of $50
a)
50
b)
-50
18.

Compare: -1 ___4

a)

<<

b)

>>

c)

==

19.

Compare: -3 ________-2

a)

<<

b)

>>

c)

==

20.

Compare: -5 _______ -10

a)

<<

b)

>>

c)

==

21.

Order from Least to Greatest: -5, 2, -8

a)

2, -5, -8

b)

-8, -2, 5

c)

5, -2, -8

22.

Order from Least to Greatest: -5, -10, 0

a)

0, -5, -10

b)

-10, 0, -5

c)

-10, -5, 0

23.
Which is greater?
-10 or -16
a)
-16
b)
-10
c)
They are equal
24.

Order from least to greatest: -2, 6, 0, -4, 5, -1

Draw a number line to help you.

a)

-4, -2, -1, 0, 5, 6

b)

-1, -2, -4, 0, 5, 6

25.

What is the opposite of 3?

(a)  

26.

What is the definition of absolute value?

a)

The distance a number is to zero

b)

A positive number

c)

A number that has a value with a different sign

27.

Evaluate: |-12|

a)

12

b)

-12

c)

0

d)

1.2

28.

Evaluate: |0|

a)

0

b)

-0

c)

+0

d)

There is no answer

29.

Compare: -2 and |-2|

a)

<

b)

>

c)

=

30.

Compare: |13| ____ |-14|

a)

<

b)

>

c)

=

31.

Compare: 27 ____ |-27|

a)

<

b)

>

c)

=

32.
what is the absolute value of -|14|?
a)
14
b)
21
c)
33
d)
-14
33.
what is the absolute value of -|24|? 
a)
-24
b)
24
c)
98
d)
11
34.
Evaluate the expression.
|–5| + 8
a)
3
b)
13
c)
-13
d)
-3
35.
Evaluate.
| -13| + | 24| =
a)
12
b)
-37
c)
37
d)
10
36.

Find the absolute value of  32\left|-\frac{3}{2}\right|  

a)

32-\frac{3}{2}  

b)

32\frac{3}{2}  

c)

32\left|\frac{3}{2}\right|  

37.

Compare: |-22| ____ |-24|

a)

<

b)

>

c)

=

38.
Evaluate.
| 15 - 5 | =
a)
20
b)
10
c)
-20
d)
-10
39.
Solve
a)
2
b)
-2
c)
6
d)
-6
40.

Compare: 27 ____ |-27|

a)

<

b)

>

c)

=

41.

What is the definition of an opposite?

a)

The distance a number is to zero

b)

A number with the same digit(s) but opposite sign

42.

Order from least to greatest:

-2, |3|, -4

a)

-4, -2, |3|

b)

-2, |3|, -4

c)

|3|, -2, -4

d)

-2, |3|, -4

43.

Order from Least to Greatest

|-5|, 3, -4, -1

a)

-4, -1, 3, |-5|

b)

|-5|, -4, -1, 3

c)

-1, -4, |-5|, 3

d)

-4, 3, -1. |-5|

44.

Order from Least to Greatest:

-13, -7, -18, |-14|, |5|

a)

-18, -13, -7, |5|, |-14|

b)

-18, |-14|, -13, -7, |5|

c)

-7, -13, |-14|, -18, |5|

d)

|5|, -7, -13, |-14|, -18

45.

Order from Least to Greatest

|-24|, -23, -18, |15|

a)

-23, -18, |15|, |-24|

b)

|15|, -18, -23, |-24|

c)

-18, -23, |15|, |-24|

d)

|-24|, -24, -23. -18, |15|

46.

7+(4)7+\left(-4\right)  

Show your work using the number lines in your packet.

(a)  

47.

15+10-15+10  

Show your work using the number lines in your packet.

(a)  

48.

10+(12)10+\left(-12\right)  

Show your work using the number lines in your packet.

(a)  

49.

16+9-16+9  

Show your work using the number lines in your packet.

(a)  

50.

2+(1)+42+\left(-1\right)+4  

Show your work using the number lines in your packet.

(a)  

51.

12+(6)+15-12+\left(-6\right)+15  

Show your work using the number lines in your packet.

(a)  

52.

Katherine earned $15 for getting good grades on her report card. Then she spent $4 on snacks at school, and spent $10 on a new bracelet at the mall. How much money does Katherine have now?

15+(-4)+(-10)= (a)  

Show your work using the number lines in your packet

53.

1+(14)-1+\left(-14\right)  

Show your work using the number lines in your packet.

(a)  

54.

3+(6)3+\left(-6\right)  

Show your work using the number lines in your packet.

(a)  

55.

8+(12)8+\left(-12\right)  

Show your work using the number lines in your packet.

(a)  

56.

7+13-7+13  

Show your work using the number lines in your packet.

(a)  

57.

3+4+(5)3+4+\left(-5\right)  

Show your work using the number lines in your packet.

(a)  

58.

4+(7)+3-4+\left(-7\right)+3  

Show your work using the number lines in your packet.

(a)  

59.

Daniel was playing the integer football game. His first three rolls were -6, 5, and -1. What was the sum of his rolls?

Show your work using the number lines in your packet

(a)  

60.
What is a zero pair? 
a)
Two negatives
b)
Two positives
c)
One negative, one positive
61.

Which equation represents the 2-color counters shown in the image? (Yellow is Positive and Red is Negative)

a)

-4 + 5 = -1

b)

4 + 5 = 9

c)

4 + (-5)= -1

d)

-5 - 4 = -9

62.

Which addition equation matches the problem modeled below? (Yellow is positive and Red is negative)

a)

-2 + -4 = -6

b)

2 + -4 = -2

c)

4 + 2 = 6

63.
a)
4 + 1 = 5
b)
4 - (-1) = 5
c)
4 + -1 = 3
64.

-2 + 4 

(a)  

65.
3 + -7
a)
10
b)
4
c)
-10
d)
-4
66.
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
67.
A football team gained 9 yards on one play and then lost 2 yards on the next. Write a sum of integers to find the overall change in field position.
a)
-9 + (-2) = -11
b)
9 + (-2) = 7
c)
9 + (-2) = -7
d)
-9 + 2 = -7
68.
-2 + 9
a)
-11
b)
-7
c)
7
d)
11
69.

-7 + -4

(a)  

70.
4+-4=
a)
0
b)
8
c)
-8
d)
-16
71.
Which number represents "a loss of 7 yards"?
a)
-7
b)
7
72.
-5 + 1 = 
a)
-4
b)
4
c)
-6
d)
6
73.

Which counter set models the expression -4 + 5?

a)
b)
c)
d)
74.

what is the result for the this counter model?

a)

-2

b)

-7

c)

7

d)

-5

e)

5

75.

Which counter set models the expression -3 + 3

a)
b)
c)
76.

8 + (-2) = 

(a)  

77.
8 + (-6) = 
a)
2
b)
-2
c)
14
d)
-14
78.

8+20-8+20  

a)

28-28  

b)

2828  

c)

1414  

d)

1212  

79.
When you add opposites, what do you get?
a)

Zero

b)
A negative number
c)

It depends on which number has a larger absolute value.

d)
You cannot add opposites
80.

-3 - 11

a)

8

b)

-14

c)

14

d)

-8

81.

-3 - 11

a)

8

b)

-14

c)

14

d)

-8

82.

4 - 9

a)

-5

b)

13

c)

12

d)

-6

83.

12 - 16

a)

18

b)

-6

c)

-4

d)

4

84.

15 - (-8)

a)

7

b)

-7

c)

23

d)

-23

85.

-4 - 7

a)

-11

b)

11

c)

-3

d)

3

86.

11 - (-2)

a)

13

b)

-13

c)

9

d)

-9

87.

Rewrite the expression

7 - (-6)

a)

7 - 6

b)

7 + (-6)

c)

7 + 6

d)

-7 + (-6)

88.

-14 - (-14)

a)

0

b)

28

c)

-28

d)

-14

89.

39-3-9  

(a)  

90.

111411-14  

(a)  

91.

11(4)-11-\left(-4\right)  

(a)  

92.

24-2-4  

(a)  

93.

2(4)-2-\left(-4\right)  

(a)  

94.

797-9  

(a)  

95.

161-6  

(a)  

96.

13(8)13-\left(-8\right)  

(a)  

97.

11411-4  

(a)  

98.

8(4)8-\left(-4\right)  

(a)  

99.

7(15)-7-\left(-15\right)  

(a)  

100.

What is true about adding integers with the same sign?

a)

Add and Keep the Sign

b)

Subtract and Keep the Sign

101.

Negative + Negative

a)

Always equals a Positive

b)

Always equals a Negative

c)

Could be Positive, Negative, or Zero

102.

Positive + Positive

a)

Always equals a Positive

b)

Always equals a Negative

c)

Could be Positive, Negative, or Zero

103.

Positive + Negative

a)

Always equals a Positive

b)

Always equals a Negative

c)

Could be Positive, Negative, or Zero

104.

Negative + Positive

a)

Always equals a Positive

b)

Always equals a Negative

c)

Could be Positive, Negative, or Zero

105.
Joy earned 13 points in her first round and -21 points in her second turn. What was her score after 2 turns?
a)
34
b)
8
c)
-34
d)
-8
106.

Subtracting a negative number (like 13(6)13-\left(-6\right)  ) is the same thing as...

a)

Adding (13+(-6))

b)

Adding the opposite (13+6)

c)

Subtracting (13-6)

107.

65+(30)65+\left(-30\right)  

(a)  

108.

4080-40-80  

(a)  

109.

50+(75)50+\left(-75\right)  

(a)  

110.

90+40-90+40  

(a)  

111.

100(70)-100-\left(-70\right)  

a)

170

b)

-30

c)

30

d)

-170

112.

35(15)35-\left(-15\right)  

(a)  

113.

25+150-25+150  

a)

-175

b)

175

c)

-125

d)

125

114.

3603-60  

(a)  

115.

111(4)-111-\left(-4\right)  

(a)  

116.

28(56)-28-\left(-56\right)  

(a)  

117.

156124-156-124  

a)

32

b)

-32

c)

280

d)

-280

118.

45+30-45+30  

(a)  

119.

12+(26)-12+\left(-26\right)  

(a)  

120.

611-6\cdot-11  

(a)  

121.

312-3\cdot-12  

(a)  

122.

37-3\cdot7  

(a)  

123.

102-10\cdot-2  

(a)  

124.

3143\cdot-14  

(a)  

125.

138-13\cdot8  

(a)  

126.

104-10\cdot-4  

(a)  

127.

10210\cdot-2  

(a)  

128.

131013\cdot-10  

(a)  

129.

79-7\cdot9  

(a)  

130.

4010\frac{40}{10}  

(a)  

131.

21015\frac{210}{-15}  

(a)  

132.

7813-\frac{78}{13}  

(a)  

133.

5010\frac{50}{-10}  

(a)  

134.

16913\frac{169}{13}  

(a)  

135.

5213\frac{-52}{-13}  

(a)  

136.

243\frac{-24}{-3}  

(a)  

137.

987\frac{98}{-7}  

(a)  

138.

847\frac{84}{7}  

(a)  

139.

303\frac{-30}{3}  

(a)  

140.
-7 x 4
a)
24
b)
28
c)
-28
d)
-24
141.

-5 x -8

a)

-40

b)

-13

c)

-45

d)

40

142.
(-25) ÷ (-5)
a)
5
b)
-5
c)
-20
d)
-30
143.
56 ÷ (-7)
a)
-8
b)
-9
c)
8
d)
7
144.
-3(-5) =
a)
15
b)
-15
c)
-8
d)
8
145.
When multiplying or dividing a NEGATIVE and NEGATIVE number your result will be...
a)
POSITIVE
b)
NEGATIVE
c)
DEPENDS ON WHICH NUMBER IS LARGER.
146.
Is the product of 8(-6) positive or negative?
a)
positive
b)
negative
147.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
148.
-24 ÷ (-8)
a)
32
b)
-3
c)
-16
d)
3
149.
A drought can cause the level of the local water supply to drop by a few inches each week.  Suppose the level of the water supply drops 2 inches each week.  How much will it change in 4 weeks? 
a)
-16 inches
b)
-8 inches
c)
-2 inches
150.
Which is equivalent to 34 ?
a)
27
b)
9
c)
81
d)
12
151.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
152.
Which is equivalent to 24
a)
8
b)
20
c)
16
d)
12
153.
The exponent equivalent of 20 x 20 x 20 is:
a)
20 x 3
b)
203
c)
320
d)
2000
154.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
d)
not here
155.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
d)
not here
156.
How would you represent 8⁶ ?
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
157.
What operation do you use with exponents?
a)
addition
b)
subtraction
c)
multiplication
d)
division
158.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 ?
a)
75
b)
76
c)
67
d)
77
159.

What is the standard form to this problem? 626^2  

a)

12

b)

36

c)

4

d)

62

160.

How would you write 343^4  in expanded notation?

a)

3  + 3 + 3 + 3

b)

3 x 3 +3 + 3

c)

three to the fourth power

d)

3 x 3 x 3 x 3

161.

How would you say 262^6  in word form?

a)

Six to the second power

b)

Two and six

c)

Two to the sixth power

d)

64

162.

How would you write 6x6x6x6 using an exponent?

a)

46

b)

64

c)

24

d)

1,296

163.

The base number in 35 is

a)

3

b)

5

164.

The exponent in 42 is

a)

4

b)

2

165.

25 is the same as 2x5

a)

True

b)

False

166.

What is 15?

a)

15

b)

5

c)

1

d)

51

167.

What is 103 ?

(a)  

168.

What is 44 in expanded form?

a)

16

b)

256

c)

4x4x4x4

d)

4x4

169.

Any number to the power of 1 equals

a)

1

b)

10

c)

Itself

d)

0

170.

4 squared is the same as

a)

42

b)

43

c)

44

d)

41

171.

Six cubed is the same as

a)

62

b)

63

c)

64

d)

61

172.

3is bigger than 43.

(HINT: Evaluate both, then compare them)

a)

True

b)

False

173.

A scientist reports that a bacteria culture contains 34 bacteria.
How many bacteria is that?


(a)  

174.

What is the base of 797^9  ?

(a)  

175.

Which of the following expressions has a value of 9?

a)

5(3+7)5-\left(3+7\right)  

b)

4(3+2)+54\left(3+2\right)+5  

c)

2(37)+1-2\left(3-7\right)+1  

d)

21+(9+3)21+\left(-9+3\right)  

176.

Which expression has the greatest value?

a)

2(53)+22-2\left(5-3\right)+22  

b)

12(56)+312-\left(5-6\right)+3  

c)

1+(5(3+9))-1+\left(5\left(-3+9\right)\right)  

d)

9(2+6)+119-\left(-2+6\right)+11  

177.

Evaluate the expression.

9(8)+242-9-\left(-8\right)+2\cdot4^2  

(a)  

178.

Evaluate the expression.

8÷(4)×62+78\div\left(-4\right)\times6^2+7  

(a)  

179.

Which expression has a value of 10-10  ?

a)

4(5)+104\left(-5\right)+10  

b)

2(3)232\left(3\right)-2^3  

c)

2(3)+222\left(-3\right)+2^2  

d)

5+12÷2-5+-12\div2  

180.

The expression below shows the amount of change a customer can expect to receive in change when paying with $25.

25(5+3+2(3)+1(6)+3)25-\left(5+3+2\left(3\right)+1\left(6\right)+3\right)  

How much change will the customer receive?

(a)  

181.

Tre went shopping this weekend and bought a pair of jeans for $30 and two hats for $6 each. The change in his bank account can be shown by the expression below.

30+2(6)-30+2\left(-6\right)  

What was the change in Tre's bank account?

(a)  

182.

Evaluate the expression.

8553+8-8-5\cdot5^3+8  

(a)  

183.

43+(92)÷64^3+\left(-9\cdot2\right)\div6  

(a)  

184.

Which expression is equivalent to 8(23)18-\left(2-3\right)-1  ?

a)

6(2)6-\left(-2\right)  

b)

8(1)8-\left(-1\right)  

c)

10(2)10-\left(-2\right)  

d)

12(4)12-\left(-4\right)  

185.

Which expression has a value of 4-4  ?

a)

3(89)-3-\left(8-9\right)  

b)

5(6+7)-5-\left(-6+7\right)  

c)

7+(2+5)-7+\left(-2+5\right)  

d)

9+(138)-9+\left(-13-8\right)  

186.

Evaluate the expression.

(7+(25))÷324\left(7+\left(-25\right)\right)\div3^2\cdot4  

(a)  

187.
The expression 24 ⋅ 33 is equivalent to what number?
a)
432
b)
72
c)
144
d)
Not here
188.
Find the equivalent expression.

9 x 9 x 9 x 9 x 9
a)
95
b)
915
c)
9 x 5
d)
9 + 9 + 9 + 9+ 9
189.
Larry had $84 in his checking account. During the month he made a deposit of $21 and  a withdraw of $3. Which expression could you use to find the balance in his checking account at the end of the month?
a)
84 + 21 - 3
b)
21 x 84 - 3
c)
84 + 21 + 3
d)
84 - 21 + 3
190.

Simplify 75 - (23 + 45 ÷ 3) x 7.

a)

236

b)

-86

c)

-77

d)

86

191.

What value is equivalent to 34 - 23 ⋅ (5 - 2) - 60 ?

a)

-66

b)

159

c)

-3

d)

-21

192.

Simplify

a)

232

b)

278

c)

332

d)

488

193.
a)

56

b)

232

c)

88

d)

76

194.
a)

67

b)

33

c)

34

d)

53

195.
a)

156

b)

67

c)

78

d)

128

196.

42÷(1523)42\div\left(15-2^3\right)  

a)

6

b)

4

c)

12

d)

14

197.

Solve: 52(235)5-2\left(2^3-5\right)  

a)

-1

b)

3

c)

-9

d)

9

198.

Angie had a bag that contained 14 oranges. She put 3 of the oranges in her brother’s lunch box. She put 2 times as many oranges in the refrigerator as she put in her brother’s lunch box. She used the rest of the oranges to make orange juice. Based on the expression below, how many oranges did Angie use to make orange juice?

14 − (3 + 2 ⋅ 3)

a)

8

b)

5

c)

1

d)

9