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WorksheetsQuadratic Review
Total questions: 36
Worksheet time: 2hrs 54mins
Name
Class
Date
1.
y=2x2-6x+1 is in what form?
a)
Vertex Form
b)
Factored form
c)
Standard Form
d)
Cannot be determined
2.
(1-2i)(2+3i)
a)
3+i
b)
8-i
c)
2-6i
d)
2+6i
3.
a)
A
b)
B
c)
C
d)
D
4.
If the discriminant is negative, how many solutions and of what type?
a)
1 real solution
b)
2 irrational solutions
c)
2 complex solutions
5.
What does the discriminant tell us?
a)
The maximum or minimum
b)
The y-intercept
c)
The number and type of solutions
d)
The axis of symmetry
6.
Which system of inequalities is shown?
a)
y< -2(x+4)2+2
y>½(x+2)2-2
y>½(x+2)2-2
b)
y< -2(x+4)2+2
y≥½(x+2)2-2
y≥½(x+2)2-2
c)
y> -2(x+4)2+2
y<½(x+2)2-2
y<½(x+2)2-2
d)
y> -2(x+4)2+2
y≤½(x+2)2-2
y≤½(x+2)2-2
7.
What is the solution set to the inequality 0<x2-4x-5
a)
x<-1 or x>5
b)
x<-5 or x>1
c)
-1<x<5
d)
-5<x<1
8.
What is the vertex of
f(x) = 2(x - 5)2 + 12
f(x) = 2(x - 5)2 + 12
a)
(-5, -12)
b)
(5,-12)
c)
(5, 12)
d)
(-5, 12)
9.
How many zeros does this parabola have?
a)
3
b)
2
c)
0
d)
1
10.
Does the quadratic y = - x2 - 2x + 3 have a max/min vertex, and does the parabola open up/down?
a)
max/ opens down
b)
min/ opens up
c)
max/ opens up
d)
min/ opens down
11.
Identify the 'b' value:
y = 16x2 -8x -24
y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
12.
What is the axis of symmetry?
a)
x = - 4
b)
x = - 2
c)
x = 0
d)
x = 4
13.
What is the axis of symmetry for y = x2 + 4x + 5
a)
x = 4
b)
x = - 4
c)
x = - 2
d)
x = 2
14.
What is the y intercept for the graph
a)
(2, 1)
b)
(1, 2)
c)
(3, 0)
d)
(0, 3)
15.
What is the y intercept for the graph
a)
(2, 1)
b)
(1, 2)
c)
(3, 0)
d)
(0, 3)
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)
All Real Numbers
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)
All Real Numbers
d)
No Real Solution
18.
What is another name for the x-intercepts of a quadratic?
a)
y-intercept
b)
Zeros
c)
x-axis
d)
They don't have another name
19.
Find the vertex of
f(x) = 2x2-2x + 1
f(x) = 2x2-2x + 1
a)
(-1/2, 1)
b)
(-2, 2)
c)
(1/2, 1/2)
d)
(2, -2)
20.
What is the vertex of the parabola:
y = -12x + 22 + 2x2
y = -12x + 22 + 2x2
a)
(3,4)
b)
(-3,4)
c)
(3, -4)
d)
(-3,-4)
21.
What is the factored form of the quadratic graphed?
a)
y = (x + 2)(x + 4)
b)
y = (x - 2)(x - 4)
c)
y = (x - 3)(x - 1)
d)
y = (x + 3)(x - 1)
22.
Which graphs shows the equation y = -(x + 3)2?
a)
orange
b)
red
c)
blue
d)
green
23.
Which equation when graphed would have no real solution?
a)
y = x2 - 6x + 9
b)
y = x2 - 1
c)
y = -x2 + 4
d)
y = x2 - 6x + 11
24.
Is this factorable? 4x2-9
a)
Yes
b)
No
25.
Factor this: 6x2-15x+24
a)
(3x+8)(2x+3)
b)
(2x-6)(3x+4)
c)
6(x2-2x+4)
d)
3(2x2-5x+8)
26.
Which of the following is a factor of: 6x2-5x-4
a)
(3x-4)
b)
(2x-1)
c)
(3x+4)
d)
(2x-3)
27.
Give the quadratic equation for the table.
a)
y=-3.7Ex2+.02X-.52
b)
y=-3.742E-x2+.05X-.52
c)
y=3.78E-x2+.025X-.5272
d)
y=-3.7E-5x2+.025X-.52
28.
In millions, what is the estimated profit when the Ticket Price is 225?
a)
3.22
b)
3.43
c)
3.77
d)
3.76
29.
Which ticket price would most likely maximize profit?
a)
f(332)
b)
f(336)
c)
f(341)
d)
f(345)
30.
The area of a floor is represented by the expression x2 + x – 12. If the length of the floor is (x – 3), what is the width?
Hint: Factor
Hint: Factor
a)
(x + 4)
b)
(x - 4)
c)
(2x + 4)
d)
(2x - 4)
31.
The area of a playground is 504 square yards. The length of the playground is
(x +8) and the width is (x – 2). Find the length and width.
(x +8) and the width is (x – 2). Find the length and width.
a)
20
b)
-26 and 20
c)
18 and 28
d)
14 and 36
32.
A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula
h(t) = −16t2 + 8t + 24,
where h is his height above the water and t is the time. How high is the platform?
h(t) = −16t2 + 8t + 24,
where h is his height above the water and t is the time. How high is the platform?
a)
25 ft
b)
24 ft
c)
25 ft
d)
8 ft
33.
Suppose you have 54 feet of fencing to enclose a rectangular dog pen. The function A = 27x − x 2 , where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the nearest tenth as necessary.
a)
width = 27 ft; area = 182.3 ft2
b)
width = 27 ft; area = 391.5 ft2
c)
width = 13.5 ft; area = 546.8 ft2
d)
width = 13.5 ft; area = 182.3 ft2
34.
Find the range of the function
f(x) = x2 + 12.
f(x) = x2 + 12.
a)
y ≤ 12
b)
y ≥ 12
c)
x ≥ 0
d)
y > 0
35.
What is the domain of the function?
a)
All Real Numbers
b)
-3 ≤ x ≤ 1
c)
y ≥ 4
d)
y ≤ 4
36.
Square root of 16 is..
a)
4 or -4
b)
32
c)
8
d)
4
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