Math 201-013-50 - Final Exam
(Marks)
Winter 2012 Page 1 of 3
1. Evaluate the following expressions.[6 pts]
(a) 3 โ |5+7ยท(โ1)3|
(b) 1
2+3
7(3
4โ1
6)
(c) 24
42+ 10 ยท13
8รท9
10
2. Solve for xin the following equations.[6 pts]
(a) 8โx
2=20
3+ 1
(b) 5(2xโ4) โ16 = โ(20 + 2x)
(c) 4(x+ 2) โ3 = 4x+ 5
3. Recall the simple interest formula:I=P rt, where I= interest, P=principal, r=simple[2 pts]
interest rate, and t=time (in years).
What would be the interest rate in order for a principal of $25,000 to earn an interest of
$5,000 in 4 years?
4. Given the mark-up formula S=C+rC:[2 pts]
(a) Solve the mark-up formula for C.
(b) A retailer sells jeans for $60 after a 200% mark-up. What is the cost of the jeans before
mark-up?
5. A rectangular field is twice as long as it is wide. Its perimeter is 120 m. What is its area?[2 pts]
6. What three consecutive odd integers have a sum of 33?[2 pts]
7. Simplify the following expressions.[4 pts]
(a) (a+ 2b)(3aโb+ 7c)
(b) (5xโ2y)2
8. Perform the long division: 6x3+x2+ 8xโ8
2xโ1
[4 pts]
9. Simplify the following expressions. Your answers should have no negative exponents.
