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Math 101 Practice Exam 3B 1. Write the following in the form a + bi: a) (5 + 2i) 2 + (3 − 4i) 2 b) 3i 2 − 3i 2. Solve the inequalities for x, expressing the solution in interval notation: a) b) 2x 3 > 5x 12 − 1 − 2x ≤ 7 3 2 3. A stone is thrown upward from a height of 10 feet with an initial velocity of 80 ft./sec. The height of the stone t seconds after it has been thrown is given by the function s(t) = −16t 2 + 80t + 10. Find the height of the stone after 10 seconds and the maximum height the stone will reach. 4. Use algebra to solve for x: a) x (x + 4) = 12 b) 3x 3 + x 2 – 3x = 0 c) x 2 + 12 = 0 5. Solve for x: a) 5 1 + =0 2x + 3 x − 6 b) 7x + 4 = x + 2 c) 2x − 3 + 4 = 8 d) x 3 + 5x 2 − 4x – 20 = 0 6. Lucy can be paid in one of two ways for refinishing a hardwood floor: with Plan A, she receives $30 an hour; with Plan B, she receives $200 plus $15 an hour. If the job takes n hours to complete, what values of n will make Plan B better than Plan A? 7. Let f(x) = (x 2 + 4) (6x – 3) 3 8x 2 . Find the zeros of f(x), the multiplicity of each zero of f(x), and the degree of f(x). 8. Solve for B: A = (1 + 2B) 2 9. Provide the equation of a parabola which opens down and has vertex (−7, 18).