Math 201-013-50 - Final Exam
(Marks)
Winter 2011 Page 1 of 4
1. Evaluate the following expressions.[4 pts]
(a) (−3 + 1)2+2
2+4·3
(b) −(3 −5) ·2−32
(c) −45 + 18
22−1÷µ1
3¶2
(d) 3 ·|−2−3| − [23−(1 + 3)]
2. Out of 5000 votes, 3500 votes were case in favor of building a new library. What percentage[1 pts]
of the votes was cast in favor of the new library?
3. Find a rational number that is one-half the difference between 11 and 8.[1 pts]
4. Solve for xin the following equations. (a) 4
3x+ 2 = 5x[6 pts]
(b) 2 −4 (3a+ 1) = 5 −2a
(c) 5x−3 = 7 + 4x−8
5. Recall the simple interest formula:I=P rt, where I= interest, P=prinipal, r=simple[2 pts]
interest rate, and t=time.
Emma decided to divide a gift of $5000 into two different accounts. She placed $2000 in one
account that earns an annual simple interest rate of 8.25%. The remaining money was placed
in an account that earns an annual simple rate of 7.5%. How much interest will Emma earn
after 1 year?
6. Recall the mark-up equation:S=C+rC where S=selling price, C=original cost, and[2 pts]
r=mark-up rate.
A digitally recorded compact disc has a selling price of $11.90. The markup rate is 40%. Find
the cost of the CD.
7. The sum of two numbers is 21. Three times the smaller number is two less than twice the[2 pts]
larger number. Find the two numbers.
8. The total cost to paint the inside of a house was $1346. This cost included $125 for materials[2 pts]
and $33 per hour for labor. How many hours of labor were required to paint the inside of the
house?
9. Simplify the following expressions.[4 pts]
(a) (5x4+x−4)(3x3−2)
(b) (3b−7a)2
10. Perform the long division: (x3−3x2+ 6) ÷(x−2)[4 pts]
11. Simplify the following expressions. Your answers should have no negative exponents.
(a) 12s5t3−16s2t2−8s3t
4s2t2
[2 pts]
(b) (27xy−2)−1·(3x−3y)2
[2 pts]
(c) µ9a b2c−1
6a−2b3c−4¶−2
[2 pts]
