Additional Practice Problems
Set 1:
1. Evaluate the following:
a)
625  2.05
1235
49



0.810.64 
b)
0.49  3.875
c)
(16 2  2 3 )(5  4)
900


2. Simplify the following:
a)
 5 34   7 43 
 x   x 

7
  10


 
b)
 0 23 
3 (5) 


3
3. Factor the following:
a)
b)
x 2  x  56
25 x 2  64
4. Simplify the following:
3
7
9
5 8
2
3
10
a)
33
b)
An Investor bought 35 shares of stock at a price of $81
i.
What was the cost of the stock?
ii.
If this represents
5
a share.
10
2
of the total amount of investment, find the total amount of investment.
5
c)
Complete the following blanks with correct answers:
Decimal
0.2
Fraction
4
Percent
25
35%
If Microsoft’s stock price is increased from $130 to $205 per share due to a new technological
break through, find out the percent increase in share price.
d)
Set 2:
1.
a)
Evaluate the following:
72
723  0.0013



b)
0.9  2.075
c)
(25 2  
64
0.18  .020.10  .01 
144


83
)(17  2 3 )
625
2. Simplify the following:
a)
y 
2
3 3
1
(25 y 2 )
b)
3 0.2 
3
Factor the Following:
a)
b)
3
2 0
3 x 2  5 x  12
3
79 x - 36x
4.
Simplify the following:
a)
3
1
33 + 60
5
3
b)
An investor bought $9450 worth of share at a price of $ 10 each.
i.
How many shares of stock did he buy?
ii.
If his total investment is $1000,000, find out what fraction is his / her new purchase
represents of total investment?
c)
Complete the following:
Decimal
0.12
Fraction
Percent
17%
5
7
d)
Because of violation of Antitrust law Microsoft share price dropped from $203 a share to $175 a
share. Find out percent decrease in share price?
Set 3:
1.
Evaluate the following:
a)
945  0.10   0.02 81   4 3  8 2 
b)
4.5  3.5  2  
c)
2.
a)
b)
3.
a)
b)
4.

9
25 2  625
53
5
10
3
5
( (18  3 )( 2  4 )
3
2
Simplify the following:
5
3
(2 x )(
2
x0
x
3
5
3
)

 33  35
0
Factor the following:
x 3  15x 2 + 56x
x 4  81
Simplify the following:
1
1
2
3 5
3
18
7
a)
17
b)
Ford Motor manufactured 125 cars at a cost of $10,000 a car.
i.
ii.
What was the cost of producing 125 cars.
If that represents 7% of total cost, find out the total cost.
c)
Complete the following:
Decimal
0.65
Fraction
Percent
18%
7
9
d)
Because of merger with Citicorp, Travelers Groups share price increased by 20% to $250 a share.
Find out the initial (Prior to merger) Stock price of travelers group?