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Solving by Factoring

Total questions: 20

Worksheet time: 1hrs 18mins

Name
Class
Date
1.

24 and 12 can BOTH be divided by ___. Select all of the choices that make this statement true.

a)

2

b)

4

c)

6

d)

8

2.

36 and 9 can BOTH be divided by ____. Select all of the numbers that make this statement true.

a)

3

b)

6

c)

9

d)

2

3.
What are the values of x when y = 0?
a)
{ -3, 1 }
b)
{ -2 }
c)
{ -3, -1 }
d)
{ 1, 3 }
4.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
5.
Solve using 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
6.
Solve
x2 + 7x + 12 = 0
a)
x = -2, x = -10
b)
x = -3, x = -4
c)
x = -4, x = -5
d)
x = -4, x = -6
7.
Solve
x2 + 9x + 20 = 0
a)
x = -2, x = -10
b)
x = -3, x = -4
c)
x = -4, x = -5
d)
x = -4, x = -6
8.
Solve
x2 + 2x - 24 = 0
a)
x = -6, x = 4
b)
x = 6, x = -4
c)
x = 12, x = -2
d)
x = 8, x = -3
9.

Solve using the Zero-Product Property.

7x(x − 6) = 0

a)

x =7 and x = −6

b)

x = 0 and x = 6

c)

x = 0 and x = −6

d)

x = 7 and x = 6

10.

Solve using the Zero-Product Property

(x −11)(5x + 1) = 0

a)

x = 11 or x = 15-\frac{1}{5}

b)

x = −11 or x = 15-\frac{1}{5}

c)

x = 11 or x = 15\frac{1}{5}

d)

x = −11 or x = 15\frac{1}{5}

11.
Factor: 49x2 - 100
a)
(49x + 100)(x - 1)
b)
(7x - 10)(7x + 10)
c)
(49x - 10)(x + 10)
d)
(7x -10)(7x - 10)
12.

What are the solutions for this graph?

a)

0 and 8

b)

-2 and -4

c)

3 and -1

d)

2 and 4

13.

How many real solutions does the quadratic have?

a)

No real solutions

b)

One real solution

c)

Two real solutions

14.

How many real solutions does the quadratic have?

a)

No real solutions

b)

One real solution

c)

Two real solutions

15.
What is the degree of every Quadratic Equation?
a)
1
b)
2
c)
3
d)
4
16.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
17.

Solve for x:

(x+10)(x-2) = 0

a)

x= 10 and 2

b)

x= -2 and 10

c)

x= -10 and 2

d)

x= -2 and -10

18.

Solve for x:

(x - 2)(3x + 1) = 0

a)

x=2 and -1

b)

x= -2 and 1

c)

x= 2 and -3

d)

x=2 and -1/3

19.
Solve for the values of x:
(x - 3)(x + 6) = 0
a)
{ -3, -6 }
b)
{ 3, -6 }
c)
{ -3, -6 }
d)
{ 3, 6 }
20.
Solve for the values of x:
(x - 3)(x + 6) = 0
a)
{ -3, -6 }
b)
{ 3, -6 }
c)
{ -3, -6 }
d)
{ 3, 6 }