WorksheetsChapter 9 Factoring Quadratics Review
Total questions: 21
Worksheet time: 2hrs 0mins
Name
Class
Date
1.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
2.
(5x4 - 4x3 - 2x2 + x - 19) - (x4 + 5x3 + 8x2 + x + 5)
a)
4x4 - 9x3 - 10x2 - 24
b)
4x4 - 9x3 - 10x2 - 2x - 24
c)
4x4 - 9x3 - 10x2 + 2x - 24
d)
-4x4 - 9x3 - 10x2 - 24
3.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
4.
(x3-x2+4) - (3x3-2x2+3)
a)
-2x3-3x2+7
b)
-2x3+x2+1
c)
2x3-3x3-1
d)
4x3-3x2+7
5.
(x − 3)(6x − 2)
a)
6x2 − 20x + 6
b)
6x2 + 20x - 6
c)
6x2 +6
d)
6x + 6
6.
(x+10)(x-10)
a)
x2 - 100
b)
x2 + 100
c)
x2 + 20x - 100
d)
x2 -20x + 100
7.
Multiply
(x+5)2
(x+5)2
a)
x2+25
b)
x2-25
c)
x2+10x+25
d)
x2-10x+25
8.
(4p − 1)(4p - 1)
a)
16p2 + 1
b)
16p2 − 1
c)
16p2 − 8p + 1
d)
16p2 + 8p + 1
9.
(x+10)(x-10)
a)
x2 - 100
b)
x2 + 100
c)
x2 + 20x - 100
d)
x2 -20x + 100
10.
Find the area of a rectangle with length (x-5) and width (3x+1).
a)
3x2+16x-5
b)
3x2-14x+5
c)
3x2-14x-5
11.
Solve: 3x2 + 19x + 20 = 0
a)
{-3/5, -4}
b)
{5/3, -4}
c)
{3/4, 5}
d)
{-4/3, -5}
12.
Factor and solve. 3x2+14x+8=0
a)
{4, 2/3}
b)
{-2/3, -4}
c)
{8, 6}
d)
{1/3, 4}
13.
Factor: 4x2 - 25
a)
(2x + 5) (2x - 5)
b)
(2x - 5)2
c)
(2x + 5)2
d)
(4x + 5)(x - 5)
14.
Solve by factoring: 2x2 - 5x - 12 = 0
a)
x = -4 and x = -6
b)
x = 4 and x = -3/2
c)
x = 4 and x = 6
d)
x = -4 and x = 3/2
15.
Solve (3x−7)(2x−8)=0 for x
a)
x=−37 or x=4
b)
x=−37 or x=−4
c)
x=37 or x=4
d)
x=37 or x=−4
16.
Solve by taking square roots:
5b2 - 4 = 41
a)
b = 9, b = -9
b)
b = 3, b = -3
c)
b = 8, b = -8
d)
no real solution
17.
6x2-x-2=0
a)
x= -2/3, 1/2
b)
x= 2/3, -1/2
c)
x= -2/3, -1/2
18.
81x2=25
a)
x= 5/9, -5/9
b)
x= -5/9, -5/9
c)
x= 5/9, 5/9
19.
The area of a playground is 336 yd2 . The width of the playground is 5 yd longer than its length. Find the length and width of the playground
a)
length = 26 yd, width = 21 yd
b)
length = 21 yd, width = 26 yd
c)
length = 21 yd, width = 16 yd
d)
length = 16 yd, width = 21 yd
20.
Factor: 49x2 - 100
a)
(49x + 100)(x - 1)
b)
(7x - 10)(7x + 10)
c)
(49x - 10)(x + 10)
d)
(7x -10)(7x - 10)
21.
7x2 - 26x - 8 = 0
a)
x = -1 and x = -7/8
b)
x = 4 and x = -2/7
c)
x = -4 and x = 2/7
d)
x = 4 and x = -7/2
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