WorksheetsChapter 9 Review - Quadratics
Total questions: 23
Worksheet time: 2hrs 51mins
Name
Class
Date
1.
Solve
x2 + 13x + 12 = 0
x2 + 13x + 12 = 0
a)
x = -12, -1
b)
x = 12, 1
c)
x = 13, 1
d)
x = -13, -1
2.
Solve b2 - 2b - 8 = 0
a)
-2, 4
b)
-8
c)
±8
d)
No real solution
3.
Solve 7x2 - 28x = 0
a)
x = 4, x = 7
b)
x = 0, x = 4
c)
x = 0, x = -4
d)
x = -4, x = -7
4.
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
5.
Solve using the quadratic formula:
6h2 + 17h + 10 = 0
a)
h= -5, -12
b)
h= 5, 12
c)
h = -2, -5/6
d)
h = -2/5, -6
6.
Use the quadratic formula to find the solutions for
y = -x2 - 5x + 12
a)
-4.9 and -0.1
b)
-8.54 and 8.54
c)
-0.45 and 3.55
d)
-6.77 and 1.77
7.
Convert x2 - 9x + 20 = 0 to factored form and solve.
a)
(x-10)(x+2); x=-2, 10
b)
(x+4)(x+5); x=-5, -4
c)
(x-4)(x-5); x=4, 5
d)
Not factorable
8.
Solve using your preferred method.
a)
A
b)
B
c)
C
d)
D
9.
Solve.
a)
A
b)
B
c)
C
d)
D
10.
Solve 8x2 - 6x + 1 = 0
a)
No Solution
b)
0 or 1
c)
-0.5 or -0.25
d)
0.25 or 0.5
11.
Find the y-intercept of y = 2x2-2x + 1
a)
(0, 2)
b)
(0, -2)
c)
(0, 1)
d)
(0, -1)
12.
Find the vertex (maximum or minimum) of
y = -x2 - 4x + 12.
y = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
13.
Find the x-intercepts:
y=5x2-16x+3
y=5x2-16x+3
a)
x= -0.2 and x= -3
b)
x= 0.2 and x= 3
c)
x= -0.2 and x=3
d)
x= 0.2 and x= -3
14.
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
15.
Find the axis of symmetry for
y = x2- 8x + 15.
y = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
16.
What is the vertex?
a)
(-1,6)
b)
(0,4)
c)
(-2,12)
d)
(-1,12)
17.
For the function y = -x2 - 6x - 7, find the vertex and the axis of symmetry.
a)
Vertex (3, -2); axis of symmetry x = 3
b)
vertex (-3, 2); axis of symmetry x = 4
c)
vertex (-3, 2); axis of symmetry x = -3
d)
vertex (3, -2); axis of symmetry x = -4
18.
What is the domain of the function?
a)
All Real Numbers
b)
-3 ≤ x ≤ 1
c)
y ≥ 4
d)
y ≤ 4
19.
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
20.
What is the y intercept for the graph
a)
(2, 1)
b)
(1, 2)
c)
(3, 0)
d)
(0, 3)
21.
Which graph is shown?
a)
y≥x2-6x+12
b)
y>x2-6x+12
c)
y≤x2-6x+12
d)
y<x2-6x+12
22.
Is the graph of this quadratic solid or dotted? Open up or down?
y < 3x2 + 5x - 2
y < 3x2 + 5x - 2
a)
dotted, opens up
b)
solid, opens up
c)
dotted, opens down
d)
solid, opens down
23.
State the axis of symmetry and the vertex. y = 2x2 + 8x -3
a)
AOS x = -2; V (-2, -27)
b)
AOS x = 2; V (2, -11)
c)
AOS x = -2; V (-2, -11)
d)
AOS x = 2; V (2, 21)
100 %
