Placement Questions
NO CALCULATORS should be used to answer these questions.
1. Solve for x:
2. Add:
5x − 2 = 8
2 4
+
5 7
3. Expand:
(2x + 3)(x − 2)
4. Let f (x) = 2x2 − 1. Then what is the value of f (3)?
5. Find the equation of the line passing through the points (4, 3) and (6, −1).
6. Solve for x:
x2 − 4x − 5 = 0
7. Expand:
3(a + b)2
8. Simplify:
(x−4 x10 )2
9. Add and simplify:
10. Solve for x:
11. Evaluate:
2
3
+
x−1 x+5
5ex = 26
sin
π
3
√
3
12. If sin x =
, then what is a possible value of cos x?
2
13. Calculate the limit:
x2 − 9
x→−3 x + 3
lim
(2x2 + 7x)(5 cos x − 3)
14. Differentiate with respect to x:
15. Integrate:
Z ³
2
´
√ + 5x2 + 3ex dx
x
16. Each side of a square is increasing at a rate of 6 centimeters per second. At what rate is the area of the
square increasing when the area of the square is 16 cm2 ?