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Module 3/4 Review

Total questions: 80

Worksheet time: 5hrs 57mins

Name
Class
Date
1.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
2.

Identify the 'b' value: y = 16x2 -8x -24

a)

16

b)

-8

c)

8

d)

-24

3.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
4.
Which answer choice describes  y = -3x2 +7x - 2 accurately?
a)
opens up with a maximum
b)
opens up with a minimum
c)
opens down with a maximum
d)
opens down with a minimum 
5.
y=2x2-6x+1 is in what form?
a)
Vertex Form
b)
Factored form
c)
Standard Form 
d)
Cannot be determined
6.
.How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
7.
What is the domain of f(x)=x²-4 ?
a)
−∞ ≤ x ≤ +∞
b)
 x ≥ -4
c)
−∞ ≤ y ≤ +∞
d)
 y ≥ -4
8.
Solve the equation using the quadratic formula.
a)
A
b)
B
c)
C
d)
D
9.
Solve 2(x-1)2 = 32
a)
x= -3, 5
b)
x= -4, 4
c)
x= 3, 5
d)
x= 2, 6
10.
Solve x2 = -16
a)
x = -4, 4
b)
x = -4,0, 4
c)
x = -4i, 4i
11.
Solve
 x2 - 10 = 26
a)
x = -6, 6
b)
x = -4, 4
c)
x = 4, 6
d)
No solution
12.
What is the vertex for the parabola represented by the equation
y = 2(x + 3)2 - 8?
a)
(3, 8)
b)
(3, -8)
c)
(-3, 8)
d)
(-3, -8)
13.
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
14.
Solve using square roots.
5b2 - 4 = 41
a)
b = 9, b = -9
b)
b = 3, b = -3
c)
b = 8, b = -8
d)
no solution
15.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
16.
Simplify
2i - 7i + 10
a)
-5i+10
b)
5i
c)
9i+10
d)
5i+10
17.
Simplify
3i - (4 + 7i)
a)
-4 + 10i
b)
21 - 12i
c)
4 - 10i
d)
-4 - 4i
18.
Multiply
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
19.
Simplify: 
(7 + 2i)(9 - 6i)
a)
75-24i
b)
63 - 24i  - 12i2
c)
51 - 24i
d)
58 + 60i
20.
What is the equation for the axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
21.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
22.
Find the y-intercept of f(x) = 2x2 - 2x + 1
a)
2
b)
-2
c)
1
d)
-1
23.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
a)
(3,2)
b)
(-3,-2)
c)
(-3,2)
d)
(3,-2)
24.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
25.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
none of these
26.
Identify the vertex and whether the graph opens up or down.
a)
(-1, 4); opens up
b)
(-1, 4); opens down
c)
(1, 4); opens up
d)
(1, 4); opens down
27.
a)
F
b)
G
c)
H
d)
J
28.
a)
A
b)
B
c)
C
d)
D
29.
Factor completely
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
30.
Factor completely
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
31.
Factor completely
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
32.
Identify the 'a' value: y = 16x2 -8x -24
a)
16
b)
8
c)
-8
d)
-24
33.
Solve  by factoring
x2 + 13x + 12 = 0
a)
x = -12, -1
b)
x = 12, 1
c)
x = 13, 1
d)
x = -13, -1
34.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
35.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
36.
What is the y-intercept of: y=7x2+2x -1
a)
(0, 1)
b)
(0, -1)
c)
(1, 0)
d)
(-1, 0)
37.
Find the zeros of this quadratic.
a)
b=4/5, b=3
b)
b=4, b=-3
c)
b=1/5, b=3
d)
b=4/5, b=-3
38.

A quadratic function has zeros -7 and 9.

What are the linear factors of the function?

a)

(x+7) (x-9)

b)

(x-7) (x+9)

c)

(x+7)(x+9)

d)

(x-7)(x-9)

39.

Use the graph to determine the solutions of the equation

0 = x2 - 5x + 1

a)

0 and 5

b)

0.5 and 4.5

c)

0.2 and 4.8

d)

1 and 7

40.
What is the range of this function?
a)
All real numbers.
b)
All real numbers greater than or equal to 0.
c)
All real numbers greater than or equal to -2.
d)
All real numbers greater than or equal to 2.
41.
Simplify the following radical: √275
a)
5√5
b)
5√11
c)
11√5
d)
5√55
42.
Which transformation transforms the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
a)
a vertical translation 4 units up
b)
a vertical translation 4 units down
c)
a horizontal translation 4 units to the left
d)
a horizontal translation 4 units to the right
43.

How did we transform from the parent function y = x2 to y = -1/5(x - 1)2 + 7 ?

a)

reflection, vertical shrink, horizontal shift right, vertical shift up

b)

vertical shrink, horizontal shift left, vertical shift up

c)

reflection, horizontal shift right, vertical shift down

d)

reflection, vertical stretch, horizontal shift left, vertical shift up

44.

What are the solutions to the quadratic equation:

3(x - 2)2 = 192

a)

x = -6 and x = 10

b)

x = 6 and x = -10

c)

x = ±10

d)

x = 2 ± 8√3

45.

Which function best models the data in the given table?

a)

y = -3x + 9

b)

y = 4x2 - 3x + 1

c)

y = 5.2(.75)x

d)

y = -3x2 + 4x + 1

46.
What is g(7) if:
a)
-17
b)
-13 
c)
13       
d)
17
47.

Find f(2)

a)

3

b)

-2

c)

2

d)

infinite outputs

48.
What is f(-1)?
a)
6
b)
-2
c)
sqrt(2)
d)
DNE
49.
What is f(-2)?
a)
4
b)
1
c)
1
d)
DNE
50.

What is f(4)?

a)

-5

b)

0

c)

3

d)

6

51.
Simplify -√-8
a)
-i√8
b)
-2i√2
c)
2i√2
d)
-8i
52.
Calculate:
(4 − 7i) − (-3 + 6i)
a)
7 − 13i
b)
7 − i 
c)
1 − 13i
d)
1 − i 
53.
Calculate: 
(1 − 2i) + (-4 + 2i)
a)
-3
b)
-3 − 4i
c)
5 − 4i
d)
5
54.
Calculate:
-4 (13 + 5i) 
a)
-52 − 20i
b)
9 + i
c)
17 − 20i
d)
-52 + 20i
55.
Calculate (multiply):
 (4 + 3i)(4 − 3i)
a)
16 − 9i2
b)
25
c)
7
d)
8 − 6i
56.
What do you do to the b value to correctly complete the square?
a)
square it
b)
divide it by 2 and square the result
c)
divide it by 2 and take the square root of the result
d)
divide it by 2 only
57.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
58.
What is one of the solutions to this equation?
(2x - 1)2 = 49
a)
7
b)
-7
c)
-4
d)
-3
59.
Complete the square for
x2 + 12x + ____
a)
x2 + 12x + 144
b)
x2 + 12x + 36
c)
x2 + 12x - 36
d)
x2 + +12x - 144
60.
Complete the Square
x2 - 12x
a)
(x + 6)2 + 12
b)
(x - 6)2 - 24
c)
(x - 6)2 - 12
d)
(x - 6)2 - 36
61.

Given f(x) = 2x-3, what is the value of f(3)?

a)

7

b)

4

c)

5

d)

1

62.

Given f(x) = x2 - 1, what is the value of f(10)?

a)

100

b)

101

c)

99

d)

9

63.
In the equation
y = x2 +5x +7, match each leading coefficient with its correct letter 
a)
a=0, b=5, c=7
b)
a=1, b=5, c=7
c)
a=7, b=5, c=1
64.
Use the quadratic formula to solve 2x2 + 2x - 12?
a)
-2, 3
b)
2, 3
c)
2, -3
d)
-2, -3
65.
How many solutions does the equation 4x2 + 4x + 1 = 0 have?
a)
0
b)
1
c)
2
d)
More than 2
66.
The discriminant is
a)
aX2  + bX  +  c
b)
b - 4ac
c)
b2 - 4ac
d)
b2 + 4ac
67.

For the function below, is the discriminant positive, negative, or zero?

___________

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

68.

If the discriminant is positive, then the solution will be

a)

one real solution

b)

two real solutions

c)

no real solutions

d)

one imaginary solution

69.
Determine the value of the discriminant and name the nature of the roots for the following:
x2 + 7x + 13
Remember:  b2 - 4ac
a)
400, 2 real root 
b)
0, 1 real root with a multiplicity of 2
c)
-400, 2 imaginary roots
d)
-3, 2 imaginary roots
70.
A function has a discriminant of -3.
______________
How many x-intercepts does it have?
a)
0
b)
1
c)
2
d)
3
71.
____________
For the function above, is the discriminant positive, negative, or zero?
a)
Positive
b)
Negative
c)
Zero
d)
Not Sure
72.
____________
For the function above, is the discriminant positive, negative, or zero?
a)
Positive
b)
Negative
c)
Zero
d)
Not Sure
73.
What  are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
74.
Find the zeros of the equation: 
(x+10)(x-2) = 0
a)
10 and 2
b)
-2 and 10
c)
-10 and 2
d)
-2 and -10
75.

Write this equation x2 -6 = x in standard form.

a)

x2 +6x=0

b)

x2 -6x=0

c)

x2 -x -6 =0

d)

x2 +x -6

76.

Given that the value of A=-5 , B=1 and C=-5, solve for the discriminant.

a)

-99

b)

99

c)

101

d)

-100

77.

Write the equation of the line in slope-intercept form with slope m = 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

78.

Write the equation of the line in slope-intercept form.

a)

y = (-2/3)x + 4

b)

y = (2/3)x + 4

c)

y = (3/2)x + 4

d)

y = (-3/2)x + 4

79.

Write the equation of the line in standard form through the points (-6, -19) and (2, 5).

a)

-3x - y = -1

b)

-3x + y = 1

c)

3x - y = 1

d)

y = 3x - 1

80.
Write the equation of a line with a slope of -3 and y intercept of 8
a)
x = 8
b)
y = -3
c)
y = 8x -3
d)
y = -3x + 8

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