Algebra II Chapter 5 Quick Review:
These are thing we need to be able to do so far in this chapter.
Section 5.1
Find a quadratic model for each set of values using the matrix method.
1. (-4, 8) , (-1, 5) , (1, 13)
2. Run a regression to find an equation for the table
a) Find the height at 10 seconds.
Time
0 1
2
3
4
b) At what time is the height 1032 ft?
Height 0 256 480 672 832
c) When does the rocket hit the ground?
Section 5.2
3. You have 750 ft of fence to protect your house from the Evil Mr. Cole. You want to make a
rectangle maximizing your area, further protecting you from this evil man. Find the length, width and
that max area.
4. A lighting fixture manufacturer has daily production costs of C = 0.25n 2 – 10n + 800, where C is
the total daily cost in dollars and n is the number of light fixtures produced. How many fixtures should
be produced to yield a minimum cost?
Section 5.3
5. A parabola has a vertex of (2, 0) and goes through the point (4,4). Write this in vertex form by
finding the a.
6. Write this parabola in expanded standard form. Find the vertex to make sure you get (2, 0)
7. Make a table of values to graph this function. y = -2(x + 1)2 – 5
Find the vertex and pick three points to the right or left of it.
8. Write y = 2x2 + 6x + 10 in vertex form.
Section 5.4
Factor the following.
9. 25x2 – 9
10. 8x2 +22x – 21
11. 12x2 +4x – 5
12. 3x2 + 21x
Section 5.5
Solve each equation by factoring, taking square roots or graphing.
13. 4x2 + 2 = 6x
14. x2 + 36 = -13x
15. 7x2 – 105
16. 4x2 + 5 + 9x = 0
18. 4x2 = 1
17. 6x2 + 18x
Section 5.6
Find the inverse of the following
19. 2 + 3i
20. -1 – i
21. 4
Find the absolute value for the following
22. |2 + 6i|
23. |2i|
24. |6 – 10i|
Simplify each
25.
 300
28. (4 – 3i)4
26.
  63
29. (4 – 3i)(2 – i)
27.
2  75
30. (6 + 2i) – (5 – 10i)