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Los Angeles Southwest College
Mathematics Department
Math 110 – Common Final Exam
Practice TEST (answers)
 3
 4
1.
Perform the indicated operation: 12    
9
2.
Perform the indicated operation: 7  (11)
4
3.
Simplify:
4.
Combine like terms: 3x  3  6x  9
5.
Perform the indicated operation: 42
16
6.
Perform the indicated operation:  | 11|
11
7.
Perform the indicated operation: 2(3)(7)
42
8.
Perform the indicated operation: 2 36
12
9.
Simplify: 2(2 x  3 y  4)
10.
Divide: 0.58 0.7134
7y 7y

16 16
7
y
8
3x  6
4 x  6 y  8
1.23
3  (4) 2  5(3  7)
52
28
25
11.
Simplify:
12.
Find LCM of the set of terms: 25 x 2 y 2 , 15 x5 y, 6 x 4 y 6
13.
Combine like terms: 7 xy  14 x 2  5 xy  x 2
52  2  3 or 150
2 xy  13 x 2
11 2

12 3
1 1

6 2
14.
Simplify:
15.
Simplify:
16.
Simplify: 11 
17.
Simplify:  2
18.
Evaluate: a3  a 2 for a  2
3
8
(3  5) 2  (7  16)
(2  4)3  2  4
13
2
39
4
5 2

6 3
 2 1  1 1
 3  
 3 2  3 6
or 9
361
1
or 10
36
36
12
2
3
4
19.
Simplify: 3  2(6  3  2) 2
20.
Simplify:
21.
Combine like terms: 2 x 2 y3  5x3 y 2  7 x 2 y3  12 x3 y 2  3xy 2
9 x 2 y 3  7 x 3 y 2  3 xy 2
22.
Multiply: 4 x(2 x3  6 x 2  5 x  1)
8 x 4  24 x 3  20 x 2  4 x
23.
Simplify: (3x  3)  (5 x  3)
8x
24.
Evaluate: 9  2[7  24 (1)]
9
25.
Evaluate the expression:
285
4 xy 25

5 12 y
5
x or
3
2x  3y
zy
for
x  2, y  3 and
3
z  4

5x
3
5
7
4
2
2
3
7
26.
Perform the indicated operation: 
27.
Evaluate: 4 36  2 81
28.
Multiply: 2 y 5  (10 y 4 )  (3 y 3 )
29.
Solve the equation:
30.
Solve the equation: 9( x  4)  13  4 x  12
x
31.
Solve the equation: 6.9x  8.4  4.02
x  1.8
32.
Solve the equation: 2.9( x  8.1)  7.8 x  3.95
x  5.6
x 2

6 3

7
12
6

60 y12
x
9
x  12
4
61
5
9 x

2 10
x  45
33.
Solve the equation:
34.
What percent of 15 is 3?
20%
35.
12 is 25% of what number?
48
36.
A piece of coaxial cable
each piece?
4
m long is to be cut into 8 pieces of the same length. What is the length of
5
1
10
5
1
1
1
qt (quart) of buttermilk,
qt of skin milk, and
qt of oil. How many
16
3
2
43
quarts of liquid ingredients does the recipe call for?
48
37.
A recipe for muffins calls for
38.
A rectangular table top measures 4/5 m long and 3/5 m wide. Find the following: a) it's area and b) it's
perimeter.
39.
the area is equal to
12 2
14
m and the perimeter is equal to m
25
5
An ocean liner traveled 432 km in 12 hr. At that rate, how far would the boat travel in 42 hr?
the boat would travel 1512km
40.
water?
A lab technician has 680 ml of a solution of water and acid: 3% is acid. How many milliliters are acids?
there are 20.4 ml of acid and 659.6 ml of water
6
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