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Worksheets

Solving Quadratics by Factoring

Total questions: 16

Worksheet time: 4hrs 0mins

Name
Class
Date
1.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
2.
What is the axis of symmetry?
a)
the slope of the graph
b)
the dividing line for a parabola
c)
a way to spin my pencil
d)
the x-axis
3.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

4.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
5.

Which of the following is an example of quadratic equations?

a)

x + 9 = 0

b)

x + y =12

c)

x3 + 5x2 - 14 =0

d)

x2 - 2x = 7

6.

Determine the values of

a, b, and c for

the quadratic equation:

4x2 – 8x = 3

a)

a = 4, b = - 8, c = 3

b)

a = 4, b = - 8, c = - 3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = - 3

7.

Solve the following quadratic equation...


x2 + 3x + 2 = 0

a)

x = -1

x = -2

b)

x = 1

x = 2

c)

x = -1

x = 2

d)

x = 1

x = -2

8.

Factor and solve:

z2 − 14z + 45 = 0

a)

z = 1, 45

b)

z = −1, 45

c)

z = −5, 9

d)

z = 5, 9

9.
x2 + 15x + 44 = 0
a)
{-8, 2}
b)
{-7, 5}
c)
{-11, -4}
d)
{-11}
10.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
11.
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
12.

Solve the equation by factoring.

a)

x = { - 5, - 3 }

b)

x = { 5, - 3 }

c)

x = { - 5, 3 }

d)

x = { 5, 3 }

13.

Solve 5x2 = 13x+6

a)

x = -3, x = 2/5

b)

x = -2, x = 15

c)

x = 3, x = -2/5

d)

x = 2, x = -15

14.
Say 'TRUE' or 'FALSE'
Every Quadratic equation has exactly one root
a)
TRUE
b)
FALSE
15.
Solve by factoring: 5x2 + 13x + 6 = 0
a)
x = -2 and x = -3/5
b)
x = 2 and x = 3/5
c)
x = -2 and x = 3/5
d)
x = 2 and x = -3/5
16.

Solve by factoring 7x2 + 6 = 13

a)
x = 1
b)

x = - 7 & 7

c)

x = - 1 & 1 

d)
x has no real solutions