WorksheetsQuadratic Equation Review
Total questions: 20
Worksheet time: 1hrs 8mins
Name
Class
Date
1.
Find the minimum point of the graph x2 + 12x + 4
a)
( -12 , -32 )
b)
( -6 , -32 )
c)
( -6 , 32 )
d)
( 12 , -14 )
2.
Complete the Square
x2 + 6x + 20
x2 + 6x + 20
a)
(x + 3x)2 + 11
b)
(x + 3)2 + 11
c)
(x + 6)2 + 11
d)
(x + 3)2 + 29
3.
Solve
16a2 - 9 = 0
16a2 - 9 = 0
a)
a = -3/4, 3/4
b)
a = -4/3, 4/3
c)
a = -9/16, 9/16
d)
a = -16/9, 16/9
4.
Solve
a2 + 2a - 24 = 0
a2 + 2a - 24 = 0
a)
a = -6, 4
b)
a = 6, -4
c)
a = 12, -2
d)
a = 8, -3
5.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
6.
Solve
8n2 + 10n - 3 = 0
8n2 + 10n - 3 = 0
a)
n = -1/8, 10/3
b)
n = 4/5, - 2
c)
n = 1/4, -3/2
d)
n = 2, -12
7.
Solve by using the quadratic formula:
15x2+22x=-8
15x2+22x=-8
a)
-2/3, 4/5
b)
2/3, -4/5
c)
2/3, 4/5
d)
-2/3, -4/5
8.
Write the equation in vertex form:
y = x2 + 10x + 20
y = x2 + 10x + 20
a)
y=(x+5)2 + 5
b)
y=(x+5)2 + 45
c)
y=(x+5)2 + 20
d)
y=(x+5)2 - 5
9.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
10.
Solve the equation by factoring:
x2-6x+8=0
x2-6x+8=0
a)
2, 4
b)
-2, -4
c)
-2, 4
d)
2, -4
11.
Rewrite this quadratic in factored form:
x2- 15 = 1
x2- 15 = 1
a)
(x - 4)(x + 4)
b)
(x - 4)(x - 4)
c)
(x + 4) (x + 4)
d)
(x - 8)(x + 2)
12.
a)
±72
b)
±12
c)
12
d)
No real solution
13.
What is the discriminant?
a)
b²-4ac
b)
b2/2a
c)
4ac
d)
b2±4ac
14.
If the discriminant equals 0, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
15.
If the discriminant is negative, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solutions
16.
If the discriminant is positive, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
17.
If the graph of a quadratic does not intercept the x axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
18.
Which method is best for solving the equation 8x2-13x+3=0?
a)
square roots
b)
factoring
c)
graphing
d)
quadratic formula
19.
The product of two consecutive integers, n and n+1, is 42. What is the positive integer that satisfies the situation?
a)
7
b)
6
c)
21
d)
2
20.
b2 - 4ac would equal: y = 2x2 -x -3
a)
25
b)
-23
c)
-25
d)
0
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