College Algebra
Math 110
Module 8
Give yourself enough space to show all of your work.
Grading Criteria:
Your assignment will be graded according to the answer key. Show all
of your work; you may be able to earn partial credit for your thought process even if a
computational error led you to the wrong answer.
1.
Simplify the following, combining like terms:
3[4(
3
1)] {[ 4(7
)
4] [2(6
)]}
x
y
x
y
x
y
2.
Find the LCM of 120 and 572.
3.
Find the equation of the line that goes through the following two points:
2, 3 and
–4,7
4.
The cost to ship a package from Chicago to Flagstaff is $8.30 per pound for the first 3
pounds and $4.65 per pound for each additional pound. Find the cost to ship a 9-pound
package from Chicago to Flagstaff.
5.
Find a line parallel to
5
2
4
13
4
2
x
y
y
x
6.
Solve the following inequality:
6(3.1 2.8 )
9.5
4.9
x
x
7.
Simplify the following, combining like terms:
3
2
2
2
3
1
3
(5
4
)(
2
9
7
)
ab
a
b a b
a b
a
b
8.
Solve the following
precisely
for
y
:
2
10
4
7
2
y
y
9.
Simplify the following:
5
1
21 20 6
/ 4
*
/
3
3
5
7
7

10.
Find the GCF of
4
4
5
2
7
5
630
,2772
,1134
y x
x y
x y
11.
Factor:
4
3
2 2
81
54
16
t
wt
w t
12.
Solve:
2
2
2
7
2
8
5
6
5
y
y
y
y
y
13.
Multiply and simplify, if possible, the following:
2
3
2
8
16
3
*
20
4
x
x
x
x
x
x
x
14.
Simplify the following as much as possible:
2
2
2
7
4
5
.
3
2
14
24
2
8
y
y
y
y
y
y
y
y
15.
Solve the following:
2
4
6
7
2
10
2
35
x
x
x
x
x
16.
If it takes 8 people 53 hours to paint a house, how long will it take 7 people to paint
the house (assuming they all work at the same rate)?
17.
Determine if the ordered pair (–2, –6) is a solution to the following system:
2
4
20
x
y
3.5
10
1
0
y
x
18.
Solve the following system of equations:
3
4
11
t
s
8 3
3
11
s
t
t
19.
Solve the following system of equations:
1
7
5
2
4
x
y
3
29
4
2
2
x
y