Name
Geometry Algebra I Review
Solving Quadratic Equations A
Date - - - - - - ­
Period - -
Factor out it constant.
+ 6x + 3
3x2 - 12x + 12
+8
5x2 + 30x + 45
1. 3x 2
2. 2x 2
4.
5.
+4
3. 4x 2 +8x
8x
-
6. -3x 2
-
18x - 27
Match the trinomial with a correct factorization.
+ 6x + 9
9. 2xi - 12x + 1&
10. 3x2 + 18x + 27
B.
+ 3)2
(x + 3)2
C~
(x - 3)2
11. 2x 2
7. x 2
6x + 9
-
A. 3(x
8; x 2
-12.
D. 2(x- 3)(x + 3)
-
18
E. 3(x + 3)(x - 3)
'3x 2 -
27
F. 2(x - 3)2
,:
Use factoring to solve·the equation.
'3, :3x2 16. x
~9.
2
x2
22. x
2
25. x2
48 = 0
+ 3x -'
40 ~
6x - 7
9
=0
+x =6
28. 25x 2
-;-:
4x 2
17.
x
20x + 4
-
20. x 2
20x + 25 = 0
-
+ llx = 12
26. x 2
= -7x
8
-
9~2 - 24xy
-
12 ~ 0
+ 2M "'" 0 .
21. x2 + 8x + 15 = 0
11·;
16x
x2
29.
\t.;: 3x2
+ 63 = 0
6x + 9 = 0
2 "
23.
7 = - 6x
-
\4.
x2 -
24. x 2
27.
+ 16y 2
30.
l1x
3x = 28.
-
=4
20x2 + 60x + 45
x2 -
4x - 8
.Use factoring to solve the equatio.n. Use a· graphing calCulator to
check your solution if you· wish.
.31.
2i7
34.
10x2 -
-
18 ~ 0
SOx
+ 160 = 0
32. 3x2
35.
+ 12x + 12 = 0
7x 2 -
33. x 2
28 = 0
36. 4x
9 = 0
2
-
40x
+ 100 = 0
37. W.(lShers Washers are available in various sizes. Fmd an.e~pression for
the area of one flat side o~ a washer. (The area of a circle is equal to the
square of the radius: times n.) Factor the expression. What is the area if
x = .5 centimeters and y = 2 centimeters?
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