WorksheetsSolving Quadratic Equations
Total questions: 12
Worksheet time: 55mins
Name
Class
Date
1.
Solve by completing the square.
x2 + 4x= 12
x2 + 4x= 12
a)
x = 2 and -2
b)
x = -6 and 2
c)
x = 6 and -2
d)
x = 1 and -1
2.
ax2+bx+c=0 is the standard form of a quadratic equation.
a)
True
b)
False
3.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
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.
4.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
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
5.
Factor x2-11x+24
a)
(x-3)(x-8)
b)
(x-2)(x-12)
c)
(x+3)(x+8)
d)
(x+2)(x+12)
6.
Solve for the values of x:
(x + 2)(x - 3) = 0
(x + 2)(x - 3) = 0
a)
{ 2, 3 }
b)
{ -2, -3 }
c)
{ 2, 3 }
d)
{ -2, 3 }
7.
Solve by factoring
a)
-4, 2
b)
-2, 4
c)
-16
d)
-4
8.
Solve using the Quadratic Formula:
2x2 + 2x − 12 = 0
a)
x = −2, 3
b)
x = 2, 3
c)
x = 2, −3
d)
x = −2, −3
9.
Solve by factoring. (HINT: Factor GCF 1st)
a)
x = 3, x = -6
b)
x = 0, x = 2
c)
x = 2, x = 3
d)
x = -2, x = 1
10.
What number added would make a perfect square trinomial?
x2 - 8x + ______
a)
-4
b)
-64
c)
12
d)
16
11.
Factor Completely:
3x2 + 18x +15
3x2 + 18x +15
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
12.
Factor Completely:
x4-9x2
x4-9x2
a)
x2(x+3)(x-3)
b)
(x2+3x)(x2-3x)
c)
(x2+9)(x-3)(x+3)
d)
x2(x2-9)
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