T101 CHAPTER 5
REVIEW SUPPLEMENT
1. Perform the indicated operation:
a) 
b) 
c) 
d) 
e) 
f) 
g) 
h) 
i) 
j) 
k) 
l) 
2. Solve for x.
a) 
b) 
3. Arrange in increasing order:
a) 
b) 
4. Insert < or >.
a) 
b) 
c) 
d) 
5. Verify the density property of rational numbers by finding a rational number
between each pair of numbers:
a) 
b) 
c) 
6. Find the additive and the multiplicative inverse of each:
a) 
b) 
c) 
d) 5 e) -11 f) 0
7. Write the simplest form with positive exponents:
a) 45 x 4-7 b) 
c) 
d) (3-2)4 e) 
8. You recall that you divided the numerator and denominator of a fraction by 5 and
then by 3 and got 
. You have lost the
original fraction. Can you find it?
9. Find a
fraction equivalent to 
such that the product
of the numerator and the
denominator is 72.
10. Use four numbers, 2, 4, 5, and 8, two as numerators and two as denominators of
two fractions, such that each fraction is less than 1 and the difference in the two
fractions is a maximum.
11. Paul owns 
of the stock of the
company of which he is president. His
wife owns
of the
stock. What fractional part of the
stock will his daughter need to purchase
in order for the family to own 
of the stock?
12. John gave all of his apples to his two brothers. To Leo he gave half of his apples
and half of an apple. To Ned he gave half of what he had left plus half of an apple.
He then had no apples left. How many apples did John have to begin with? (It is
interesting to note that at no time were the apples cut, split, or divided.)
13. Hard College
reduced its faculty by 
one year and by 
the next year. If there
were 168 faculty members left, how many were there originally?
14. Mary brought 
yards of ribbon. How many bows can Mary make if each bow
uses 
feet of ribbon?
15. 
of the cars are red.
of the red cars are
convertibles. 
of the red
convertibles have CB sets. What part of the cars are red convertibles with CB sets?
16. Candy is on sale in a store. Five boys find that they can buy a box of Valentine's
candy holding 
pounds at half
price. How much candy will each of the
five
boys receive if they purchase one box and divide it evenly?
17. A mixture of dog food is composed of 5 parts of meat and 3 parts of cereal. How
much cereal is included in 20 kgs of dog food?
ANSWERS T101
CHAPTER 5 REVIEW SUPPLEMENT
1. a) 
b)
c) 
d) 
e) 12 f) 
g)
h) 
i) 
j) 
k) 
l) 
2. a) 
b) x < 5
3. a) 
b) 
4. a) < b) > c) > d) <
5. a) 
b) 
c) 
(other answers
possible)
6. a) 
b) 
c) 
d) 
e) 
f) 0, non
7. a) 
b) 73 c) 1 d) 
e) 
8. 
9. 
10. 
11. 
12. 3 13. 240 14. 18 bows, 
of ft.
15. 
16. 
17. 