MATH 074 REVIEW FOR CHAPTER 2 and 3 - Sections 2.1-2.4, 3.1-3.5 ( Fractions)
A.
Can you list all the factors of a given number?
1.
List all the factors of each of the following numbers.
a) 18:__________________________
c) 48:__________________________
e) 59:__________________________
b) 20:__________________________
d) 60:__________________________
B.
Can you determine whether a given number is prime or composite?
2.
Indicate whether each given number is prime or composite.
a) 10:__________
d) 39:__________
b) 17:__________
e) 51:__________
c) 27:__________
f) 41:__________
3.
Write all the prime numbers between 8 and 21:__________________________
4.
Write all the composite numbers between 17 and 31:__________________________
5.
Write all the prime numbers between 50 and 70:__________________________
C.
Can you write the prime factorization of any given composite number?
6.
Write the prime factorization of each of the following composite numbers.
a) 28:__________________________
c) 48:__________________________
e) 210:__________________________
g) 80:__________________________
b) 36:__________________________
d) 84:__________________________
f) 300:__________________________
h) 720:__________________________
D.
Can you find the Least Common Multiple (LCM) of two or more numbers?
7.
Find the LCM in each case.
a) 8 and 12:____
b) 16 and 24:____
e) 8, 10 and 20:____
c) 18 and 30:____
f) 18, 24, and 48:____
d) 5, 7, and 9:____
g) 56, 63 and 72:____
E.
Can you express each mixed number as an improper fraction and each improper fraction as a
mixed number?
8.
Write each mixed number as an improper fraction.
a)
:____
Revised Fall 2013
b)
:____
c)
:____
d)
:____
9.
Write each improper fraction as a mixed number.
a)
:____
b)
:____
c)
:____
d)
:____
e)
:____
F.
Can you write Equivalent Fractions?
10.
Write
11.
Write
as an equivalent fraction whose denominator is 84:____
12.
Write
as an equivalent fraction whose numerator is 98:____
13.
Write
as an equivalent fraction whose numerator is 40:____
G.
Can you write a fraction in simplest form?
OR Can you simplify a fraction?
OR Can you write a fraction reduced to lowest terms?
14.
Simplify each of the following fractions. That is, reduce each of the following fractions to lowest terms.
as an equivalent fraction whose denominator is 56:____
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
H.
Can you compare fractions? That is, given two or more fractions, can you arrange from smallest
to largest?
15.
Between each pair of fractions, insert the appropriate sign
<, =, or > , to get a true statement.
a)
b)
c)
d)
e)
f)
16.
Arrange each of the following from smallest to largest.
a)
Revised Fall 2013
b)
c)
Page_2
I.
Can you solve simple application problems involving fractions?
17.
In a club, there are 28 male members and 35 female members. What fraction of the total membership are
females? Write your answer in simplest form.
18.
A baseball player got 25 hits in 45 times at bat. What fraction of his times at bat did he not get a hit?
Write your answer in simplest form.
J.
Can you add and subtract proper fractions?
19.
Add or subtract as indicated. Reduce your answer to lowest terms. (Hint: First simplify each fraction)
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
n)
o)
p)
K.
Can you add and subtract mixed numbers?
20.
Add or subtract as indicated. Whenever possible, express your answer as a mixed number.
a)
Revised Fall 2013
b)
c)
Page_3
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
n)
L.
Can you solve simple application problems involving addition and subtraction of fractions?
21.
Find the perimeter of the rectangle whose length is
22.
You are driving to a town 27 miles away. If you have already driven
M.
Can you multiply and divide proper fractions?
23.
Multiply or divide as indicated. Reduce your answer to lowest terms.
feet and the width is
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
n)
o)
Revised Fall 2013
feet.
miles, how far away is the town?
Page_4
N.
Can you multiply and divide mixed numbers?
24.
Multiply or divide as indicated. Whenever possible, express your answer as a mixed number.
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
O.
Can you simplify expressions involving mixed operations of fractions?
25.
Simplify. Whenever possible, express your answer as a mixed number.
a)
b)
c)
d)
P. Can you solve simple application problems involving multiplication and division of fractions?
26.
Each dose of aspirin weighs
grain. If you have 30 grains of aspirin on hand, how many doses can you
administer?
27.
Find the cost of buying carpeting at
per square foot for the rectangular hallway whose length is 15 feet
and the width is 12 feet.
28.
A 40-acre field is to be subdivided equally into
acre lots. How many such lots can be formed from the
field?
29.
On each page of a report, there are 220 words. If the report is
pages long, how many words does it
contain?
Revised Fall 2013
Page_5
MATH 074
ANSWERS TO REVIEW PROBLEMS FROM CHAPTER 2 and 3
1.
a)
c)
e)
1, 2, 3, 6, 9, 18
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
1, 59
2.
a)
d)
composite
composite
3.
11, 13, 17, 19
4.
18, 20, 21, 22, 24, 25, 26, 27, 28, 30
5.
53, 59, 61, 67
6.
a)
d)
f)
b)
e)
prime
composite
b)
d)
1, 2, 4, 5, 10, 20
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
c)
f)
composite
prime
b)
c)
e)
g)
24
b)
7.
a)
8.
a)
b)
c)
d)
9.
a)
b)
c)
d)
10.
14.
c)
90
11.
d)
b)
c)
d)
g)
h)
i)
j)
a)
16.
a)
17.
<
b)
=
315
e)
40
f)
12.
a)
15.
19.
48
h)
c)
<
d)
144
g)
504
e)
13.
e)
=
e)
b)
>
f)
6
f)
<
c)
18.
a)
b)
Revised Fall 2013
1
c)
d)
e)
f)
Page_6
g)
h)
m)
20.
n)
a)
b)
g)
h)
m)
n)
o)
a)
b)
c)
g)
h)
m)
n)
a)
21.
feet
22.
miles
23.
45
o)
p)
l)
e)
f)
i)
j)
k)
l)
d)
i)
35
k)
d)
45
b)
c)
87
g)
h)
25.
a)
b)
26.
36 doses
27.
$1530
28.
32 lots
29.
1650 words
Revised Fall 2013
j)
c)
o)
24.
i)
1
j)
e)
f)
k)
l)
d)
e)
f)
i)
j)
k)
l)
c)
d)
21
Page_7