WorksheetsQuadratic Equation Test
Total questions: 47
Worksheet time: 2hrs 43mins
Name
Class
Date
1.
What piece of information does c identify in the following equation?
y=ax2+bx+c
y=ax2+bx+c
a)
Zeroes
b)
Axis of Symmetry
c)
Direction
d)
y-intercept
2.
a)
√3
b)
±√3
c)
-3
d)
No real solution
3.
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
4.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
5.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
f(x) = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
6.
Find the vertex of
f(x) = -x2 - 4x + 12.
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
7.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
8.
Does y = -4x2 have a maximum or minimum value?
a)
maximum
b)
minimum
9.
What is another word for zeros?
a)
y-intercepts
b)
roots and solutions
c)
vertex
d)
axis of symmetry
10.
When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?
a)
Minimum value
b)
Basketball
c)
Maximum Value
d)
A parabola
11.
Quadratic equations take the shape of a _______ when graphed.
a)
u- shaped line
b)
straight line
c)
wavey line/snaked
d)
circle/elliptical
12.
Name the x-intercept(s)?
a)
0
b)
4
c)
2
d)
0 and 4
13.
The lowest point one hits when using a swing would represent what?
a)
Maximum value
b)
Minimum value
c)
A root
d)
An x-intercept
14.
A line about which a figure is symmetric is the ____ __ ________
a)
Solution Set
b)
Intercept Formula
c)
Quadratic Function
d)
Axis of Symmetry
15.
The standard form of a quadratic equation is ax2 +bx + c = 0. If the value of 'a' is negative, what is the shape of the graph of the equation?
a)
Upward U-shape
b)
Downward U-shape
c)
Sideways U-shape
d)
It depends on the value of b
16.
To complete the square below, what needs to go in both blanks?
x2- 16x _____ = 3 + _______
x2- 16x _____ = 3 + _______
a)
+(-8)2
b)
+(8)2
c)
+(-4)2
d)
+(4)2
17.
Why do we have the method of "Complete the Square" (CS) to solve quadratic equations?
a)
CS is an alternative to solving by factoring, but not a required method.
b)
If the answers to the equation are going to involve non-integers (aka decimals), then we can use the CS method.
c)
I am really not sure.
d)
If an equation is un-factorable, the CS method allows us to create a factorable equation.
18.
What is the range of the function?
a)
R:{y is less than or equal to 3}
b)
R:{y is greater than or equal to 3}
c)
R:{all real numbers}
d)
R:{y is between and including -6 and 3}
19.
Match the description to its equation.
Vertical stretch by a factor of 3
Vertical stretch by a factor of 3
a)
y = 3(x)2
b)
y = (3x)2
c)
y = (1/3x)2
d)
y = 1/3(x)2
20.
How did the equation shift from the parent function? y=3x2-2
a)
vertical shrink and down 2
b)
up 2
c)
down 2
d)
vertical stretch and down 2
21.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
22.
Convert to standard form
y = 2(x - 7)2 - 3
y = 2(x - 7)2 - 3
a)
y = 2x2 - 14x + 46
b)
y = 2x2 - 28x + 95
c)
y = 2x2 - 14x + 95
d)
y = 2x2 - 28x + 92
23.
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
24.
Identify the 'a' value: y = 16x2 -8x -24
a)
16
b)
8
c)
-8
d)
-24
25.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
26.
Identify the 'c' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
24
d)
-24
27.
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
28.
What form is this equation in?
2x2+4x-3=0
2x2+4x-3=0
a)
standard form
b)
vertex form
c)
factored form
d)
none of these
29.
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.
30.
Describe the domain.
a)
All Reals
b)
{0, 4}
c)
[0, 4]
d)
(0, 4)
31.
Describe the range.
a)
All Reals
b)
y >= -2
c)
x > 2
d)
y < -2
32.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
33.
Find the zeros.
a)
0 and 4
b)
0 and -4
c)
0
d)
-4
34.
Select the graph.
a)
A
b)
B
c)
C
d)
D
35.
select the graph
a)
A
b)
B
c)
C
d)
D
36.
Select the graph
a)
A
b)
B
c)
C
d)
D
37.
Select the graph
a)
A
b)
B
c)
C
d)
D
38.
Select the graph.
a)
A
b)
B
c)
C
d)
D
39.
Select the graph.
a)
A
b)
B
c)
C
d)
D
40.
Solve be completing the square.
a)
A
b)
B
c)
C
d)
D
41.
Solve by completing the square.
a)
A
b)
B
c)
C
d)
D
42.
Solve by factoring.
a)
A
b)
B
c)
C
d)
D
43.
Solve by factoring.
a)
A
b)
B
c)
C
d)
D
44.
Solve using the quadratic formula.
a)
A
b)
B
c)
C
d)
D
45.
Solve using the quadratic formula.
a)
A
b)
B
c)
C
d)
D
46.
Solve using the quadratic formula.
a)
A
b)
B
c)
C
d)
D
47.
x= -b/2a
What is this equation used for?
What is this equation used for?
a)
To find the slope of a line.
b)
To find the axis of symmetry in a quadratic.
c)
To find the y-intercept.
d)
To solve an equation.
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