2.
3. (x–2y–4x3) –2
4. Write the explicit formula that represents the geometric sequence -2, 8, -32, 128
5. Evaluate the function f (x) 4 • 7x for x 1 and x = 2. Show your work.
6. Simplify the quotient . Write your answer in scientific notation. Show your work.
Simplify the expressions. Show your work.
7. 3x(4x4 – 5x)
8. (5x4 – 3x3 + 6x) – ( 3x3 + 11x2 – 8x)
9. (x – 2) (3x-4)
10. (x + 6)2
Factor each expression. Show your work.
11. r2 + 12r + 27
12. g2 – 9
13. 2p3 + 6p2 + 3p + 9
Solve each quadratic equation. Show your work.
14. (2x – 1)(x + 7) = 0
15. x2 + 3x = 10
16. 4x2 = 100
17. Find the roots of the quadratic equation x2 – 8x = 9 by completing the square. Show your work.
18. Use the discriminant to find the number of real solutions of the equation 3x2 – 5x + 4 = 0. Show your work.
A water balloon is tossed into the air with an upward velocity of 25 ft/s. Its height h(t) in ft after t seconds is given by the function h(t) = − 16t2 + 25t + 3. Show your work.
19. After how many seconds will the balloon hit the ground? (hint: Use the quadratic formula)
20. What will the height be at t = 1 second
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