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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 ?