Download Unit 5A Review

CCGPS Geometry
Unit 5B – Factoring Quadratics
Review
Name: ________________________________________________ Date: _______________________
Unit #5A Almost there
Factor each of the following expressions. Remember to GCF first! And check your
factors by FOIL.
1. 3 x 3  9x 2
2. 12 x4  10 x3  6x2
3. x2  9x  20
4.
x2  7 x  30
5. x2  4 x  32
6.
x2  10 x  24
7. r 2  13 r  22
8. 2 x2  11x  5
9. 3 x 2  16 x  21
10. 5 x 2  7 x  6
11. 4 x 2  10 x  6
12. 6 x2  18 x  24
13. 12 x 2  7 x  12
14. 6 x 2  19x  15
15. The area of a rectangle is (8x2 + 8x + 2) cm2. The width is (2x + 1) cm. What is the
length of the rectangle?
16. An architect is designing square windows with an area of (x2 + 20x + 100) ft2. The
dimensions of the windows are of the form ax + b, where a and b are whole
numbers. Find an expression for the perimeter of the windows. Find the perimeter
of a window when x = 4 ft.
17.
Name 4 values of “c” which make the expression factorable. ( four different factors
of “c” that add up to the middle terms. Remember the signs)
a) x2 – 3x – c
b) x2 + 2x – c
18. Determine if the following are difference of two squares. If so, factor it. If not,
explain why.
a. 2 x 2  49
b. 81x 4  16
19. Determine if 9 x 2  12 x  12 is a perfect square trinomial. If so, factor it. If not, explain
why.
20. A fence surrounds a park in the shape of a triangle. The side lengths of the park in
feet are given by the expressions 8x, 10x, and 11x – 2, for which x is the length in feet
of one fence panel.
a. Find an expression for the perimeter of the park.
b. Identify the terms , coefficients, and constant in your expression. Is the
expression quadratic? Explain.
Cumulative review
1. Let a be a nonzero rational number and b be an irrational number. Which of these
MUST be a rational number?
A. b + 0
B. a + a
C. a + b D. b + b
2.
3.
4.
Write
as a radical.