Pre-Calculus: Algebra I & Algebra II Review (WS #2)
(Don’t forget to show work where necessary)
Answers without work = no credit
Name:
Factor the expression. If the expression cannot be factored, say so.
1. x2 + 6x + 8
3. x2 + 3x – 18
2. x2 – x – 12
4. x2 – 9
Factor and solve the equation.
5. x2 – 5x + 6 = 0
6. x2 + 7x + 12 = 0
Find the value of x.
7. Area of the triangle = 27
3x
4x + 1
Factor the expression. If the expression cannot be factored, say so.
8. 3x2 + 10x – 8
9. 2x2 + 5x – 3
10. 4x2 + 5x – 6
12. 9x2 – 4 = 0
13. 18x2 + 48x = -32
Factor and solve the equation.
11. 2x2 – 3x – 9 = 0
Write the expression as a complex number in standard form
14. (1 + i) + (3 + i)
16. 3i(4 + 2i)
15. (-4 – i) – (4 + 5i)
17. (2 + i)(4 + 2i)
Solve the equation. (Hint: answers will be imaginary)
18. x2 = -36
19. x2 = 2x2 + 4
20. 3x2 + 40 = -x2 – 56
Use the quadratic formula to solve the equation.
21. x2 + 4x + 3 = 0
22. 2x2 – 5x – 2 = 0
23. -6x2 + 3x + 2 = 3
Launched Object An object is launched upward with an initial velocity of 64 feet per second from a platform 80 feet
high. h(t) = -16t2 + V0t + h0
V0 = initial velocity
h0 = initial height
24. Write a height model for this object
25. How many seconds until the maximum height is reached?
26. What will be the maximum height?
27. How many seconds until the object hits the ground?