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9 Weeks Test Review

Total questions: 45

Worksheet time: 2hrs 51mins

Name
Class
Date
1.
Standard form of a quadratic equation
a)
y=x²
b)
y=ax²+bx+c
c)
y=mx+b
d)
y=x
2.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
Vertex Form
3.
A parabola is upside-down when a is:
a)
negative
b)
positive
c)
0
d)
infinite
4.
Which best describes the vertex of a parabola?
a)
Any point on the parabola.
b)
A point on the x-axis.
c)
The highest or lowest point of a parabola
d)
A point on the y-axis.
5.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
6.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
7.

Name the Axis of Symmetry

a)

x = 1

b)

x = 0

8.

What are the x-intercept(s) of this graph?

a)

-1 and -3

b)

-1 and 3

c)

1 and 3

d)

1 and -3

9.
Say 'TRUE' or 'FALSE'
Every Quadratic equation has exactly one root
a)
TRUE
b)
FALSE
10.
The Equation (x2 + 1)2 - x2 = 0 has ___
a)
four real roots
b)
two real roots
c)
no real roots
d)
one real root
11.

Solve the equation by factoring.

a)

x = {3,8}

b)

x = {-3,8}

c)

x = {3,-8}

d)

x = {-3,-8}

12.

What is the quadratic formula?

a)
b)
c)
d)
13.

Which value is the vertex?

a)

(-4, 0)

b)

(-1, -9)

c)

(0, -8)

d)

(2, 0)

14.
The solutions of the quadratic equation
x2-5x+6=0 are
a)
x=1 or x=-6
b)
x=3 or x=2
c)
x=-3 or x= 2
d)
x=-1 or x=6
15.
In the quadratic formula, the expression
b2-4ac is called
a)
discrim
b)
determinant
c)
discriminant
d)
none of these
16.
x2 - 9
a)
(x + 3) (x - 3)
b)
(x - 3) (x - 3)
c)
(x + 3) (x - 6)
d)
Can't factor using Diff. of Squares
17.
q2 - 121
a)
(q + 11) (q - 11)
b)
(q - 11) (q - 11)
c)
(q + 11) (q + 11)
d)
Can't factor using Diff. of Squares
18.

What is the GCF?


5x2 + 20x

a)

5

b)

x

c)

5x

d)

20x

19.
Factor:
56a3-8a
a)
8a2(56a3-8a)
b)
8a(7a2-1)
c)
8a(7a3-a)
d)
8a2(35a2-a)
20.

What is the GCF?


16x5 + 12x4 - x3

a)

x5

b)

12x

c)

6x3

d)

x3

21.
Determine the values of
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
22.

Use the quadratic formula to find the solutions for

y = 2x2 - 9x + 5

a)

-8.14 and 6.14

b)

-4.07 and 3.07

c)

3.9 and 0.6

d)

ZERO solutions

23.
Identify the 'c' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
24
d)
-24
24.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
25.
Identify the 'a' value: y = 16x2 -8x -24
a)
16
b)
8
c)
-8
d)
-24
26.

What is the vertex form of a quadratic function?

a)

f(x) = 2a(x - h)2 + k

b)

f(x) = a(x - h)2 + k

c)

f(x) = (x + h)2 + k

d)

f(x) = a(x - h) - k

27.

Given f(x) = (x + 3)² , how did we transform from the parent function?

a)

Horizontal shift left 3

b)

Vertical shift up 3

c)

Horizontal shift right 3

d)

Vertical shift down 3

28.

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

a)

Horizontal shift left 6, vertical shift up 2

b)

Horizontal shift left 6, vertical shift down 2

c)

Horizontal shift right 6, vertical shift down 2

d)

Horizontal shift right 6, vertical shift up 2

29.

If the blue is f(x)=x2, then the red must be

a)

g(x)=x2 - 5

b)

g(x)=x2 + 5

c)

g(x)=(x - 5)2

d)

g(x)=(x + 5)2

30.
If the blue is f(x)=x2, the red must be
a)
g(x)=(x+3)2
b)
g(x)=(x-3)2
c)
g(x)=x2+3
d)
g(x)=x2-2
31.
Which transformation maps the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
a)

a translation shifting f(x) 4 units up

b)
a translation shifting f(x) 4 units down
c)
a translation shifting f(x) 4 units to the left
d)
a translation shifting f(x) 4 units to the right
32.

What is the vertex?

f(x)=−(x+2)2−5f\left(x\right)=-\left(x+2\right)^2-5  

a)

(-2,5)

b)

(2,5)

c)

(2,-5)

d)

(-2,-5)

33.

Describe the transformation:

f(x)=(x+3)2−2f\left(x\right)=\left(x+3\right)^2-2  

a)

right 3, down 2

b)

up 3, left 2

c)

left 3, up 2

d)

left 3, down 2

34.

3+√-4

a)

1

b)

3-2i

c)

5

d)

3+2i

35.
Find the sum.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
36.
(3+8i)(-2-i)
a)
2-19i
b)
23-i
c)
34+5i
d)
23-i
37.
3i + 2i
a)
5i
b)
5i2
c)
6i
d)
-5
38.
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
39.
Simplify: 
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
40.
√-36
a)
6
b)
-6
c)
-6i
d)
6i
41.

What does i2 equal?

a)

-1

b)

√-1

c)

1

d)

-√1

42.

What letter represents an imaginary number?

a)

a

b)

i

c)

j

d)

x

43.
Find the sum.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
44.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

45.

i=−1i=\sqrt[]{-1}  

a)

True

b)

False

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