Math 201-013-50 Final Exam-December 2010 Page 1 of 3
(4) 1. Evaluate the following expressions (simplify all fractions):
a)
( )
2
9
117
13 2โ
+
+โโ b) 2
)6(3)72( โ+โ
+โ
)54(
10
11
629
c)
2
+โโ
โ
รทโ
d)
[
]
3
)54(6212 +โ+โโ
(1) 2. Convert the fraction
20
3to a percentage.
(1) 3. How many segments of ribbon
6
5m in length can we cut from a ribbon that is 30m long?
(6) 4. Solve for x in the following equations:
xx 74
2
5
a) =+ 1351111b)
+
=
โ
+
โ
xxx
(
)
[
]
xx =++โ 21532c)
(2) 5. Michelle wants to earn interest so sheโll have enough for a down payment on a house. She
decides to put some money in an account earning 2.5% interest for 4 years. How much money
must Michelle put in the account in order to earn $2000 in interest?
(2) 6. Peter wishes to purchase a new computer that is regularly sold for $1400. When he arrives at
the store, he discovers that the computer is on sale and that they have applied a discount rate of
20%.
a) What is the sale price of the computer?
b) How much money has Peter saved?
(2) 7. When we add two integers together, we obtain a total of 90. Three times the smaller integer is
ten more than the larger integer. What are these two integers?
(2) 8. A seamstress charges $10 more to tailor a jacket than she does for hemming a pair of pants.
Yesterday, she tailored six jackets and hemmed 5 pairs of pants, thus earning $181 for her work
that day. How much does she charge to hem a pair of pants? How much does she charge to tailor
a jacket?
(4) 9. Expand and simplify the following expressions.
a) )3)(255( 23 โ+โ aaa b)
(
)
2
52 yx โ
(4) 10. Perform the long division: )1()32( 3โรท+โ xxx
