Using divisibility rules , state whether each number is divisible by 2, 3, 4, 5,
6, 9, or 10.
1. 315
2. 136
3. 96
4. 90
5. 78
6. 3762
Give the prime factorization of each number. Write each in expanded and
exp onential form .

Expanded 
Exponential 
7. 125 


8. 144 


9. 198 


10. 297 


Using Venn diagrams, find the GCF and LCM of the given
numbers.
11. 40, 60 
GCF = 
LCM = 
12. 48, 64 
GCF = 
LCM = 
13. 72, 84 
GCF = 
LCM = 
14. 36, 45 
GCF = 
LCM = 
Simplify the following.
Write each percent as a decimal and a fraction .

Decimal 
Fraction 
24. 38% 


25. 20% 


26. 62.5% 


27. 84% 


Write each fraction as a decimal and a percent.

Decimal 
Percent 
28.
4 ½ 


29.
2/3 


30.
9/20 


31.
1/8 


32.
3/10 


33.
3/5 


Write each decimal as a fraction in lowest terms and a
percent.

Fraction 
Percent 
34.
0.006 


35.
0.4 


36.
0.825 


37.
0.47 


Simplify the following.
Put in order from least to greatest.
53. {–1/2, –2/3, 1/4, 0, –1, 5, 7}
54. {14, 0, –14, 12, –2}
55. {–13, 20, –57, 82, –32}
56. {0.5, –0.55, –0.05, 0.505, 0.575}
57. {1/2, 0.6, 1/8, 1.7, –3, –1.8}
Compare using <, >, or =.
Simplify the following.
Write each as a mixed number.
Write as an improper fraction.
Evaluate each ex pression if x = 3, y = 4, and z = 5.
Find the missing value .
100. What % of 150 is 75?
101. 40% of 18 is what #?
102. 36 is 30% of what #?
103. 28.8 is what % of 120?
104. 65% of 26 is what #?
105. 90 is what % of 60?
Find the percent of change . Tell whether it is a percent of increase or
decrease. Round to the nearest whole percent.
106. old: $48.50 new: $38.80
107. old: $350 new: $311
108. old: $84 new: $205.80
109. old: $0.36 new: $0.60
Find the total cost.
110. Price: $59.99
Tax: 7%
111. Price: $29.95
Discount: 20%
112. Price: $325
Tax: 7.5%
113. Price: $325
Discount: 15%
114. Price: $300
Discount: 15%
Tax: 7.25%
115. Price: $99.99
Discount: 6%
Tax: 6%
Find the missing value.
116.
Principal: $345
Rate: 4%
Time: 3 years
Interest: ?
117.
Principal: $970
Rate: 3.25%
Time: 2 years
Interest: ?
Interest: ?
118.
Principal: $550
Rate: 3.5 %
Time: 3 years
Interest: ?
119.
Principal: $150
Rate: 6%
Time: 6 years
Interest: ?
Match each of the following with the best property. Each choice will be used
only once.
120. ax = xa 
A. distributive property 
121. 0 + 8 = 8

B. multiplicative inverse property 
122. 4 + x = x
+ 4 
C. substitution 
123. 
D. multiplication property of zero 
124. (5 + 7)m
= 12m 
E. additive identity property 
125. 7(ab) =
(7a)b 
F. multiplicative identity property 
126.

G. reflexive property 
127. 34 + (16
+ 9) = (34 + 16) + 9 
H. symmetric property 
128. –5(0) = 0 
I. transitive property 
129. (r)(1) =
r 
J. commutative property of addition 
130. 7a = 7a 
K. commutative property of multiplication 
131. 9(a + b)
= 9a + 9b 
L. associative property of addition 
132. If 4(–8)
= –32, then –32 = 4(–8). 
M. associative property of multiplication 
Classify each number. Write all names that apply.
Word Bank
rational number
real number
integer
whole number
natural/counting number
irrational number
State if the number is rational, irrational, or not a real number.
142. Give an example of a rational number between 1/2 and 1.
Write each number in standard form.
Write each number in scientific notation.
147. 175
150. 0.00001
151. 5.001
152. 0.3054
Find each product or quotient . Express your answer in exponential form .
Find each product or quotient. Express your answer in scientific notation.
Find 2 ratios equivalent to each given ratio.
Tell
whether the ratios form a proportion .
Solve each
problem.
174. If 1 subscription costs $21, then how much would you have to pay
for 28 subscriptions?
175. Mrs. Jones wanted one iris plant for every 2 lily
plants in her garden. If she planted 20 iris bulbs, how many lily bulbs did she
plant?
Find each unit rate.
181. $525 for 20
hours of work
182. 96 chairs in 8 rows
183. 64 beats in 8 measures
184. 12
slices of pizza for $10.20
Determine the better buy using unit rates.
181. 10
gallons of gaso line for $13.70 or 12.5 gallons of gasoline for $17.75
182. $1.65
for 5 pound of bananas or $3.15 for 10 pounds of bananas