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Solve Quadratics by Factoring

Total questions: 15

Worksheet time: 21mins

Name
Class
Date
1.
a)

A

b)

B

c)

C

d)

D

2.

Identify the zeros.

a)

x = 0 and x = -4

b)

x = 0 and x = 4

c)

y = 0 and y = 2

d)

x = 2 and x = 4

3.

Choose the correct factored form for the quadratic expression:

x2 + 5x - 6

a)

(x - 6)(x + 1)

b)

(x + 6)(x - 1)

c)

(x - 2)(x - 3)

d)

(x + 2)(x + 3)

4.

Solve using the Zero Product Property.

(x + 4)(x − 3) = 0

a)

x = 4 and x = −3

b)

x = 2 and x = 1

c)

x = −4 and x = 3

d)

x = −2 and x = 1

5.

What are the zeros of the function:

f(x) = x2 + x - 42

a)

7 and -6

b)

1 and 42

c)

-7 and 6

d)

8 and -3

6.
What are the zeros of the quadratic function?
y = x2 - 2x - 15
a)
x = -2
x = -15
b)
x = -3
x = 5
c)
x = 3
x = -5
d)
x = 1
x = -16
7.
What are the x-interepts for the graph of the function:  y = x2 - 3x - 10 
a)
-5, 2
b)
-5, -2
c)
5, -2
d)
5, 2
8.
What are the zeros?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
9.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
10.
What is the axis of symmetry in the following graph?
a)
(-1,0)
b)
X=0
c)
x=-1
d)
X=1
11.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
12.

Solve     n2+3n=0Solve\ \ \ \ \ n^2+3n=0  

a)

{3,0}\left\{-3,0\right\}  

b)

{3,0}\left\{3,0\right\}  

c)

No Real Solution

d)

{3,1}\left\{-3,-1\right\}  

13.

Solve     x2100=0Solve\ \ \ \ \ x^2-100=0  

a)

{25,4}\left\{25,4\right\}  

b)

{50,2}\left\{-50,2\right\}  

c)

{10,10}\left\{-10,10\right\}  

d)

{0,100}\left\{0,100\right\}  

14.
Solve.
n² - 2n = 0
a)
n = 2 and 0
b)
n = -2 and 0
c)
n = 2
d)
n = 0
15.
Solve
16a2 - 9 = 0
a)
a = -3/43/4 
b)
a = -4/34/3 
c)
a = -9/169/16 
d)
a = -16/916/9