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WorksheetsQuadratic Function Factored
Total questions: 25
Worksheet time: 48mins
Name
Class
Date
1.
Standard form of a quadratic function is...
a)
y=ax2+bx+c
b)
y=ax+bx+c
c)
y=ax3+bx+c
d)
y=ax2+bx+cx
2.
In factored form you can see the ______ of the graph easily.
a)
y-intercept
b)
vertex
c)
x-intercepts
3.
What is the equation for this parabola in factored form?
a)
y=(x+2)(x-1)
b)
y=(x-2)(x+1)
c)
y=(x-2)(x-1)
d)
y=(x+2)(x+1)
4.
Factor:
x2 + 10x + 24
x2 + 10x + 24
a)
(x + 8)(x + 3)
b)
(x + 6)(x + 4)
c)
(x + 12)(x - 2)
d)
(x + 12)(x + 2)
5.
If your solution is x = 5, then your factor is
a)
(x + 5)
b)
5x
c)
(x - 5)
d)
-5x
6.
Solve for b
a)
b=4/5, b=3
b)
b=4, b=-3
c)
b=1/5, b=3
d)
b=4/5, b=-3
7.
Factor: x2 + 11x + 24
a)
(x + 6)(x + 4)
b)
(x + 12)(x + 2)
c)
(x - 8)(x - 3)
d)
(x + 8)(x + 3)
8.
Factor: x2 - 6x - 27
a)
(x+3)(x+9)
b)
(x+3)(x-9)
c)
(x-3)(x+9)
d)
(x-3)(x-9)
9.
Factor and solve: x2+9x+14=0
a)
x = 7, -2
b)
x = -7, - 2
c)
x = 14, 1
d)
x = 3, 3
10.
What are the green dots called? Select all that apply.
a)
zeros
b)
vertex
c)
roots
d)
x-intercepts
11.
Find the zeros of the equation:
(x+10)(x-2) = 0
(x+10)(x-2) = 0
a)
10 and 2
b)
-2 and 10
c)
-10 and 2
d)
-2 and -10
12.
What are the x-intercepts of the parabola?
y = -3(x + 5)(x - 9)
y = -3(x + 5)(x - 9)
a)
-5 and 9
b)
5 and -9
c)
5 and 9
d)
-3 and 5 and -9
13.
What are the x-intercepts of the parabola?
y = ¼(x + 2)(x - 6)
y = ¼(x + 2)(x - 6)
a)
-2 and 6
b)
2 and -6
c)
-2
d)
¼ and -2 and 6
14.
What are the x-intercepts of the parabola?
y = ⅔(x + 1)(x - 3)
y = ⅔(x + 1)(x - 3)
a)
-1 and 3
b)
1 and -3
c)
-1
d)
⅔ and -1 and 3
15.
What are the x-intercepts of the parabola?
y = x(x - 4)
y = x(x - 4)
a)
0 and 4
b)
1 and 4
c)
2
d)
1 and -4
16.
What piece of information does c identify in the following equation?
y=ax2+bx+c
y=ax2+bx+c
a)
Zeroes
b)
Axis of Symmetry
c)
Direction
d)
y-intercept
17.
What are the x-intercepts?
a)
0 and 2
b)
-4 and 0
c)
2 and 3
d)
0 and 4
18.
Identify the x-intercepts:
y= -3(x-5)(x+5)
a)
(-3,0) and (5,0)
b)
(5,0) and (-5,0)
c)
(5,0) and (0,5)
d)
(0,5) and (0,-5)
19.
Identify a root
a)
(-1,9)
b)
(0,-8)
c)
(-4,0)
d)
(0,0)
20.
What is the equation for this parabola in factored form?
a)
y=(x+2)(x-1)
b)
y=(x-2)(x+1)
c)
y=(x-2)(x-1)
d)
y=(x+2)(x+1)
21.
What is the y-intercept of
f(x)=2x2 + 4x + 6
f(x)=2x2 + 4x + 6
a)
(6 , 0)
b)
(-6 , 0)
c)
(0, -6)
d)
(0 , 6)
22.
What is the name of this property?
a)
Zero Exponent Property
b)
Zero Product Property
c)
Commutative Property
d)
Zero Sum Property
23.
What are the zeros of the equation y = x(x + 5)?
a)
0, –5
b)
–5
c)
0, 5
d)
1, –5
24.
Factor the greatest monomial 6x2-27x
a)
(6x+1)(x+3)
b)
3x(2x-9)
c)
6x(x-9)
d)
(3x-9)(2x+3)
25.
Which equation matches these solutions? x=5,-7
a)
(x+5)(x-7)=0
b)
(x-5)(x+7)=0
c)
(x+5)(x+7)=0
d)
(x-5)(x-7)=0
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