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Worksheets

Chapter 2 Review

Total questions: 123

Worksheet time: 3hrs 45mins

Name
Class
Date
1.
Evaluate each expression.
| 9 |
a)
0.9
b)
9
c)
-9
d)
90
2.
| –3 |
a)
3
b)
-3
c)
0.30
d)
30
3.
Which is the greatest integer?
a)
-33
b)
-31
c)
-28
d)
-17
4.
Which is the least integer?
a)
1
b)
-1
c)
-2
d)
-8
5.
Which answer has the integers in order from least to greatest?
a)
− 9,   -5,  -3, 0,  4,  3
b)
− 9,   -5,  -3, 0,  3,  4
c)
− 5,   -9,  -3, 0,  4,  3
d)
 3, 4, 0, -3, -5, -9
6.
Where do you always start from on a number line?
a)
?
b)
-0
c)
0
d)
-1
7.
Express an integer: a debt of $50
a)
50
b)
-50
8.
Whole numbers and their opposites
a)
whole numbers
b)
integers
c)
fractions
d)
decimals
9.
Which is not an integer?  
a)
-5
b)
12
c)
0
d)
-1/2
10.
Express as an integer:  at sea level
a)
0
b)
-0
c)
1
d)
-10
11.
What is the opposite of 10? 
a)
10
b)
-10
c)
0
d)
20
12.

Express an integer: a withdrawal of $100

a)

100

b)

-100

13.
What is the opposite of -3?
a)
3
b)
0
c)
-1/3
d)
1/3
14.

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

15.
Which integer represents a withdrawal from your bank account of $50
a)
-$50
b)
$50
c)
+$50
16.
Which integer represents a gain of 10 yards on a football play?
a)
+10
b)
-10
17.

4+(3)-4+\left(-3\right)  

a)

77  

b)

11  

c)

1-1  

d)

7-7  

18.

5+9-5+9  

a)

4-4  

b)

44  

c)

14-14  

d)

1414  

19.

2+(8)2+\left(-8\right)  

a)

66  

b)

1010  

c)

16-16  

d)

6-6  

20.

7+(3)7+\left(-3\right)  

a)

4-4  

b)

44  

c)

1010  

d)

10-10  

21.

-3 - 11

a)

8

b)

-14

c)

14

d)

-8

22.

6 - -7

(a)  

23.

4 - 9

a)

-5

b)

13

c)

12

d)

-6

24.

12 - 16

a)

18

b)

-6

c)

-4

d)

4

25.

15 - (-8)

a)

7

b)

-7

c)

23

d)

-23

26.

Simplify

132-18

a)

150

b)

-114

c)

114

d)

-150

27.

A submarine at -32 feet dives down 18 feet. After the dive, what will be the submarine's elevation?

a)

1414  

b)

14-14  

c)

50-50  

d)

5050  

28.
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)=13-9+\left(-22\right)=-13  

b)

9+(22)=139+\left(-22\right)=13  

c)

9+(22)=139+\left(-22\right)=-13  

d)

nonenone  

29.

Rewrite the expression

7 - (-6)

a)

7 - 6

b)

7 + (-6)

c)

7 + 6

d)

-7 + (-6)

30.

Marie and Nancy are scuba diving. Marie descends to a depth of 15 feet below sea level. Nancy descends to a depth of 22 feet below sea level. What is the difference in their depths?

a)

13 ft

b)

37 ft

c)

7 ft

d)

-13 ft

e)

-7

31.

The temperature on Sunday was -15o C. The temperature on Monday was 12 degrees less than the temperature on Sunday. What was the temperature on Monday?

a)

-27

b)

-3

c)

3

d)

27

32.

The average daily temperature in Denton went from -8°F in January to 43°F in March. What was the change in the average daily temperature from January to March?

a)

35°

b)

51°

c)

-35°

d)

-51°

33.

Define "Positive Number"

a)

A number that is greater than 0

b)

A whole number

c)

When you add

d)

A positive or negative whole number

34.

Define "Negative Number"

a)

A number greater than zero

b)

A number and its opposite combine to equal 0

c)

A number less than zero

d)

Zero

35.

What does the word "sum" mean?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

36.

What does the word "difference" mean?

a)

Add

b)

Multiply

c)

Subtract

d)

Divide

37.

Compare integers using <, >, = 

-5 ___ -4

a)
<
b)
>
c)
=
38.
Order from least to greatest 3, -8, -10, 6
a)
3, -10, -8, 6
b)
6, 3, -8, -10
c)
-10, -8, 3, 6
d)
-8, -10, 3, 6
39.
Compare:  -9  ?  8
a)
>
b)
<
c)
=
40.
Compare:  -3  ?  -5
a)
>
b)
<
c)
=
41.

A positive multiplied by a negative will always create a _______.

a)

Negative

b)

Positive

42.

A negative multiplied by a negative will create a _______.

a)

Negative

b)

Positive

43.

-2(5) =

a)

10

b)

-10

44.

(-3)(7)

a)

21

b)

-21

45.

(-10)(-10)

a)

100

b)

-100

46.

(-3)(-2)(-4)

a)

6

b)

24

c)

-6

d)

-24

47.

When a number is next to another number that is in parenthesis you simply multiply.

Example: 2(-7) means 2 x 7

a)

True

b)

False

48.

Is the product of -5(-2) positive or negative?


Remember a product is the answer to a multiplication problem.

a)

positive

b)

negative

49.
Alex thinks that if you multiply a negative and a positive that you will get a negative answer ALWAYS!
His friend Tyler said he was wrong and the sign in your answer depends on how big and small the numbers are. Who is CORRECT? 
a)
Alex 
b)
Tyler
50.

What is the value of:

18÷(9)18\div\left(-9\right)  

a)

22  

b)

2-2  

c)

99  

d)

9-9  

51.

Simplify 12÷(4)-12\div\left(-4\right)  

(a)  

52.

The altitude of an airplane dropped 100 feet every minute for 5 minutes. Which of the following could represent the total change in the airplane's altitude?

a)

500 ft.500\ ft.  

b)

500 ft-500\ ft  

c)

20 ft20\ ft  

d)

20 ft-20\ ft  

53.

The temperature in Arizona was dropping at a rate of 10°10\degree  per hour. How many hours did it take for the temperature to change a total of 30°-30\degree  ?

a)

3 hours3\ hours  

b)

3 hours-3\ hours  

c)

30 hours30\ hours  

d)

300 hours300\ hours  

54.

What do you get when you divide a negative by a positive?

a)
Positive
b)
Negative 
55.

What do you get when you divide a negative by a negative?

a)
Positive
b)
Negative 
56.
When you solve one-step equations, you can do anything you want to one side of the equal sign, as long as...
a)
it is mathematical
b)
you do the SAME thing to the other side
c)
solving equations is impossible
d)

you don't forget to follow directions

57.
In an equation, you want to get the variable...
a)

with one number

b)
to disappear
c)

isolated

d)
to sing and dance
58.
To solve one-step equations, you have to use the ________________ operation.
a)
Integer
b)
Inverse
c)
Additive
d)
Subtractive
59.
The inverse operation of addition is _______________.
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
60.

The inverse operation of division is _______________.

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

61.

What is the correct step to solve for the variable?

15 = m + 5

a)

add 5 to both sides

b)

add 15 to both sides

c)

subtract 15 from both sides

d)

subtract 5 from both sides

62.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Subtract 62 from each side. 
b)
Add 62 to each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
63.

-4x = 64

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

a)

Subtract -4 from each side.

b)

Add -4 to each side.

c)

Multiply each side by -4.

d)

Divide both sides of the equation by -4.

64.
a)

-2

b)

14

c)

48

d)

2

65.

a)

5

b)

-5

c)

1

d)

-1

66.

a)

14

b)

-33

c)

-14

d)

33

67.

a)

48

b)

-42

c)

15

d)

-15

68.
A prime number...
a)
has one factor.
b)
has more than 2 factors.
c)
has 100 factors.
d)
has exactly 2 factors: 1 and the itself.
69.
A composite number ...
a)
has more than 2 factors.
b)
has one factor.
c)
has at least 10 factors.
d)
is always a really big number.
70.

What are the prime factors of 27?

a)

3x3x3

b)

3x2x3

c)

3x3x4

71.

Find the prime factors of 45.

a)

5x9

b)

3x15

c)

3x3x5

72.

Use a number tree to find the prime factorization of 32

a)

2 x 2 x 2 x 3

b)

2 x 2 x 2 x 2 x 2

73.
which number below is NOT prime?
a)
7
b)
9
c)
2
d)
3
74.
Is 12 prime or composite?
a)
prime
b)
composite
75.
is 5 prime or composite?
a)
prime
b)
composite
76.

What are the factors of 15?

a)

1, 2, 3, 5, 15

b)

1, 3, 5, 15

c)

1, 2, 3, 4, 5

d)

1, 5, 10, 15

77.

What is the GCF (Greatest Common Factor) of 12 and 6?

a)

1

b)

6

c)

2

d)

3

78.
Sara had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?
a)
4
b)
2
c)
48
d)
8
79.
GCF 24 and 36
a)
8
b)
6
c)
12
d)
4
80.
Find the LCM of 18 and 24
a)
6
b)
72
c)
24
d)
5
81.
What is the least common multiple (LCM) of 8 and 5?
a)
50
b)
40
c)
5
d)
8
82.

Which of the following is a multiple of 7?

a)

14

b)

17

c)

22

83.

A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller. Which caller will be the first to win both prizes?

a)

5

b)

2

c)

10

d)

120

84.

Fill in the missing number to form an equivalent fraction.

(a)  

85.

Fill in the missing number to form an equivalent fraction.

(a)  

86.
a)
6/9
b)
6/6
c)
9/9
d)
2/3
87.

Fill in the missing number to form an equivalent fraction.

a)

3

b)

5

c)

8

d)

10

88.

Arrange the fractions from smallest to greatest.

a)

13, 16, 14\frac{1}{3},\ \frac{1}{6},\ \frac{1}{4}  

b)

16, 13, 14\frac{1}{6},\ \frac{1}{3},\ \frac{1}{4}  

c)

16, 14, 13\frac{1}{6},\ \frac{1}{4},\ \frac{1}{3}  

d)

14, 13, 16\frac{1}{4},\ \frac{1}{3},\ \frac{1}{6}  

89.

Arrange the fractions from greatest to smallest.

a)

58,78,48\frac{5}{8},\frac{7}{8},\frac{4}{8}  

b)

78,58,48\frac{7}{8},\frac{5}{8},\frac{4}{8}  

c)

48,58,78\frac{4}{8},\frac{5}{8},\frac{7}{8}  

d)

58,48,78\frac{5}{8},\frac{4}{8},\frac{7}{8}  

90.

Equivalent Fractions can be made by:

a)

A. Adding and Subtracting

b)

B. Multiplying and Dividing

c)

Adding, Subtracting, Multiplying, and Dividing

91.

3672=4x\frac{36}{72}=\frac{4}{x}  Find the value of x.

a)

A. 4

b)

B. 8

c)

C. 9

d)

D. 18

92.
The number on the top of a fraction is called what?
a)
numerator
b)
denominator
c)
fractionator
d)
equivalent
93.

What do you call fractions that have the same value ?

a)

Equivalent fractions

b)

Mixed fractions

c)
Improper fractions
94.

Which fraction(s) are equal to 23\frac{2}{3}  ? (There may be more than one answer.)

a)

32\frac{3}{2}  

b)

46\frac{4}{6}  

c)

2030\frac{20}{30}  

d)

1015\frac{10}{15}  

95.

Convert 3123\frac{1}{2}   to an Improper Fraction

a)

312\frac{31}{2}  

b)

52\frac{5}{2}  

c)

72\frac{7}{2}  

d)

42\frac{4}{2}  

96.

Convert 1141\frac{1}{4}   to an Improper Fraction

a)

114\frac{11}{4}  

b)

54\frac{5}{4}  

c)

41\frac{4}{1}  

d)

42\frac{4}{2}  

97.

Convert 5235\frac{2}{3}   to an Improper Fraction

a)

153\frac{15}{3}  

b)

523\frac{52}{3}  

c)

173\frac{17}{3}  

d)

103\frac{10}{3}  

98.

What is the first step in changing a mixed number to an improper fraction?

a)
Add the numerator and denominator
b)
Add the whole number to the numerator
c)
Multiply the numerator and denominator
d)
Multiply the whole number and the denominator
99.

What is true about improper fractions?

a)

All improper fractions are greater than 1.

b)

All improper fractions have numerators bigger than their denominators.

c)

All improper fractions can be turned into a mixed number.

d)

All of these statements are true!

100.

245\frac{24}{5}  Convert to a mixed number

a)

3 953\ \frac{9}{5}  

b)

3 253\ \frac{2}{5}  

c)

4 454\ \frac{4}{5}  

d)

4 154\ \frac{1}{5}  

101.

Convert 224\frac{22}{4}  into a mixed number. 

a)

5 245\ \frac{2}{4}  

b)

4 5224\ \frac{5}{22}  

c)

6 126\ \frac{1}{2}  

d)

None of the above

102.

Convert 197\frac{19}{7}  into a mixed number. 

a)

3 173\ \frac{1}{7}  

b)

2 672\ \frac{6}{7}  

c)

2572\frac{5}{7}  

d)

None of the above

103.

Which of the following fractions are equivalent?

a)

12=25\frac{1}{2}=\frac{2}{5}  

b)

34=812\frac{3}{4}=\frac{8}{12}  

c)

13=312\frac{1}{3}=\frac{3}{12}  

d)

23=69\frac{2}{3}=\frac{6}{9}  

104.

What is the simplest form of this fraction? 36\frac{3}{6}  

a)

16\frac{1}{6}  

b)

34\frac{3}{4}  

c)

12\frac{1}{2}  

d)

24\frac{2}{4}  

105.
Which is NOT an equivalent fraction to one half?
a)
2/4
b)
2/3
c)
4/8
d)
3/6
106.

Reduce 10/100 in its simplest form.

a)
1/10
b)
Already in simplest form
c)
5/50
d)
2/20
107.

1/2 is equal to

a)

50/100

b)

25/100

c)

75/100

d)

20/100

108.

0.50 is equal to

a)

1/2

b)

1/4

c)

3/4

d)

1/10

109.

0.25 is equal to

a)

1/2

b)

1/4

c)

3/4

d)

1/10

110.

0.75 is equal to

a)

1/2

b)

1/4

c)

3/4

d)

1/10

111.

0.20 is equal to

a)

1/5

b)

1/4

c)

3/4

d)

1/10

112.

0.10 is equal to

a)

1/5

b)

1/4

c)

3/4

d)

1/10

113.

Which decimal is equivalent to 1/3?

a)

0.30

b)

0.33

c)

0.13

d)

0.25

114.

Which fraction is larger? 2/5 or 2/3?

a)

2/5

b)

2/3

c)

They are equal.

115.

Order these from least to greatest: 1.3, 1/3, 1.03

a)

1.3, 1/3, 1.03

b)

1/3, 1.30, 1.03

c)

1/3, 1.03, 1.30

d)

1.03, 1.3, 1/3

116.

What is the equivalent fraction of 0.60 (or 0.6)?

a)

1/5

b)

3/5

c)

5/6

d)

1/6

117.

Which fraction is greater? 4/5 or 3/4?

a)

4/5

b)

3/4

c)

They are equal.

118.

25\frac{2}{5} ______ 0.2


Remember to change fraction to decimal first!



a)

<

b)

>

c)

=

119.
Fill in the blank with the correct sign >, < , or =
-3.4  ________ -2.5
a)
>
b)
<
c)
=
120.
Put the rational numbers in order from least to greatest.
-1, -1.1, -1.5, -1.15, -0.5
a)
-1.5, -1.15, -1.1, -1, -0.5
b)
-1.1, -1, -1.5, -1.15, -0.5
c)
-0.5, -1.1, -1, -1.5, -1.15
121.

Which point on the number line best represents -1.2?

a)

A

b)

B

c)

C

d)

D

e)

E

122.

Which number is the greatest? 

54   ,  1825  ,    1.3\frac{5}{4}\ \ \ ,\ \ 1\frac{8}{25}\ \ ,\ \ \ \ 1.3  

a)

54\frac{5}{4}  

b)

18251\frac{8}{25}  

c)

1.31.3  

123.

 \  Order the following rational numbers from least to greatest.


76, 1.26, 12-\frac{7}{6},\ -1.26,\ -\frac{1}{2}  

a)

1.26, 76, 12-1.26,\ -\frac{7}{6},\ -\frac{1}{2}  

b)

76, 1.26, 12-\frac{7}{6},\ -1.26,\ -\frac{1}{2}  

c)

1.26, 12, 76-1.26,\ -\frac{1}{2},\ -\frac{7}{6}  

d)

12, 76, 1.26-\frac{1}{2},\ -\frac{7}{6},\ -1.26