Worksheets2020 Unit 11 Quadratics Review
Total questions: 38
Worksheet time: 2hrs 18mins
Name
Class
Date
1.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
2.
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
3.
What form is the equation in?
y = 2x2-8x+7
y = 2x2-8x+7
a)
Standard
b)
Vertex
c)
Factored
d)
None of These
4.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
y=4x2-8x+9
a)
x=-8
b)
x=1
c)
x=-1
d)
x=2
5.
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)
6.
What direction is the following equation opening?
y=-3x2-7x+8
y=-3x2-7x+8
a)
Up
b)
Down
c)
Left
d)
Right
7.
Find the y-intercept of
f(x) = 2x2-2x + 1
f(x) = 2x2-2x + 1
a)
2
b)
-2
c)
1
d)
-1
8.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
9.
Does
y = -4x2
have a maximum or minimum value?
y = -4x2
have a maximum or minimum value?
a)
maximum
b)
minimum
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)
Slope
c)
Maximum value
d)
A parabola
11.
What are the x-intercepts?
a)
0 and 2
b)
-4 and 0
c)
2 and 3
d)
0 and 4
12.
Which form is the equation
y = 2x2-8x+7 in?
y = 2x2-8x+7 in?
a)
Standard
b)
Vertex
c)
Factored
d)
None of These
13.
Which form is the equation
y = -3(x-5)2+7 in?
y = -3(x-5)2+7 in?
a)
Standard
b)
Vertex
c)
Factored
d)
None of These
14.
What is the vertex of the quadratic function: y=1/2(x-3)2+8?
a)
(3,8)
b)
(-3,-8)
c)
(-3,8)
d)
(3,-8)
15.
Joe Mauer hits a fly ball. You can track the height of the ball using the equation: h(t) = -16t2 + 140t + 2
What was the starting height of the ball?
a)
-16 feet
b)
140 feet
c)
2 feet
d)
0 feet
16.
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
17.
Describe the discriminant.
a)
Greater than zero
b)
Equal to zero
c)
Less than zero
d)
I don't know
18.
The following is an example of which form?
y= 1/3(x+3)2
y= 1/3(x+3)2
a)
Factored Form
b)
Standard Form
c)
Intercept Form
d)
Vertex Form
19.
Identify the x-intercepts:
y= -3(x-5)(x+5)
y= -3(x-5)(x+5)
a)
(-5,0)(5,0)
b)
(5,0)(-5,0)
c)
(5,0)(0,5)
d)
(0,5)(0,-5)
20.
A quadratic function has zeros -7 and 9.
What are the linear factors of the function?
What are the linear factors of the function?
a)
(x+7) (x-9)
b)
(x-7) (x+9)
c)
(-7,0) (9,0)
d)
(0,-7) (0,9)
21.
Solve by factoring.
x2 + 2x - 8 = 0
x2 + 2x - 8 = 0
a)
4 and 2
b)
4 and -2
c)
-4 and 2
d)
-4 and -2
22.
Solve by factoring.
12b2 + 72b + 108 = 0
12b2 + 72b + 108 = 0
a)
3
b)
-3
c)
-9/2
d)
-1
23.
Use the quadratic formula to find the solutions for
y = 2x2 - 9x + 5
y = 2x2 - 9x + 5
a)
-8.14 and 6.14
b)
-4.07 and 3.07
c)
0.65 and 3.85
d)
ZERO solutions
24.
Use the quadratic formula to find the solutions for
y = 3x3 + 8x - 1
y = 3x3 + 8x - 1
a)
0.1167 and -2.7833
b)
.7 and -16.7
c)
.35 and -8.35
d)
0.2358 and -1.236
25.
i13
a)
-1
b)
1
c)
i
d)
-i
26.
i7
a)
i
b)
-i
c)
1
d)
-1
27.
Simplify:
(-3i)(4i)(-5i)
(-3i)(4i)(-5i)
a)
-60i
b)
60
c)
-60
d)
60i
28.
a)
10
b)
-10
c)
10i
d)
-10i
29.
Multiply:
(4 – 3i)(-7 – 2i)
(4 – 3i)(-7 – 2i)
a)
A. -23 + 13i
b)
B. -23 - 29i
c)
C. -34 + 13i
d)
D. -34 - 29i
30.
Simplify:
(10+ 15i)-(48 - 30i)
(10+ 15i)-(48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
31.
Simplify:
(7 + 2i)(9 - 6i)
(7 + 2i)(9 - 6i)
a)
75-24i
b)
63 - 24i - 12i2
c)
51 - 24i
d)
58 + 60i
32.
An object flies through the air and follows a parabolic path. What does the y-axis represent?
a)
time
b)
height from the ground
c)
horizontal distance
d)
money
33.
An object flies through the air and follows a parabolic path. Which of these typically represents the x-axis?
a)
time
b)
height from the ground
34.
If path of a projectile is modeled by:
h(t) = -16t2 + 20t +6, what is the height after 1 second?
h(t) = -16t2 + 20t +6, what is the height after 1 second?
a)
6 feet
b)
20 feet
c)
10 feet
d)
4 feet
35.
To calculate the TIME that a maximum height occurs, you should use:
a)
-b/(2a)
b)
Quadratic formula
c)
the c value
d)
0
36.
Given the function below, at what TIME does the maximum height occur?
h(t) = -16t2 + 20t + 6
a)
0 seconds
b)
.625 seconds
c)
160 seconds
d)
2 seconds
37.
To calculate the maximum height, you should:
a)
Use the time you got from -b/(2a) and plug it in for each "t"
b)
-b/(2a)
c)
use the c value
d)
use the b value
38.
To find out when an object hits the ground, after we put in 0 for h, we can use this to calculate the time it hits the ground:
a)
-b/(2a)
b)
Quadratic Formula
c)
Pythagorean Theorem
d)
Just square root everything
100 %
