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Algebra 2 Fall Final Review

Total questions: 94

Worksheet time: 24hrs 30mins

Name
Class
Date
1.
Find the solution to the system
x − y = 3
7x − y = −3
a)
(4,1)
b)
(-1,-4)
c)
(-1,-1)
d)
vanilla
2.

Give the solution to the system
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
a hoppy hippo
3.
Calculate the slope.
a)
m= -2
b)
m=-1/2
c)
m=2
d)
m=1/2
4.
Find the slope of the line through (3,5) and (1,1).
a)
1/2
b)
-2
c)
-1/2
d)
2
5.
Read the question carefully and choose the correct answer.
a)
A
b)
B
c)
C
d)
D
6.
Does the equation open or or down? 
Y = -3x2 +7x - 2
a)
up
b)
down
7.
Identify the vertex.  y = 2(x - 1)2 + 6
a)
(-1, 6)
b)
(1, 6)
c)
(-1, -6)
d)
(2, 6)
8.
Factor: x2 – 5x – 24
a)
(x - 5)(x + 19)
b)
(x - 8)(x + 3)
c)
(x - 3)(x + 8)
d)
(x - 19)(x + 5)
9.
Solve the equation by factoring:
x2-6x+8=0
a)
2, 4
b)
-2, -4
c)
-2, 4
d)
2, -4
10.

What is the vertex of y=2(x-3)2+7

a)

(2,7)

b)

(3,7)

c)

(-3,7)

d)

(-6,7)

11.
Which of the following is a zero of (x + 2)(x - 1)?
a)
2
b)
1
c)
-1
d)
0
12.
a)
x = 49
b)
x = 53
c)
x = 45
d)
x = 18
13.
a)
x = 5
b)
x = 10
c)
x = -9
d)
x = -5
14.
Solve.
a)
no solution
b)
6
c)
3
d)
4
15.
a)

{ 1 }

b)

{ 1, 9 }

c)

{ 9 }

d)

No Solution

16.
a)
4
b)
4, -1
c)
-1
d)
-4
17.

What is the axis of symmetry in the function f(x) = (x-1)2 +2

a)

x = 1

b)

x = -1

c)

x = 2

d)

x = -2

18.

What steps transform the graph y = x2 to y = 2(x+2)2 - 5?

a)

Compress by 2, shifted 2 units left and 5 down

b)

Stretch by 5, shifted 5 units left and 2 down

c)

Stretch by 2, shifted 2 units left and 5 down

d)

Compress by 5, shifted 2 units left and 2 down

19.
Which is a zero of the graph?
a)
0
b)
-1
c)
1.5
d)
-3
20.
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
21.
Calculate the zeros of the quadratic.
a)
x = 6 and 3
b)
x = 1 and 0
c)
x = 0 and 3
d)
x = 3 and 1
22.
What are the zeros of the quadratic function?
y = x2 - 2x - 15
a)
x = -2
x = -15
b)
x = -3
x = 5
c)
x = 3
x = -5
d)
x = 1
x = -16
23.
Solve for x and y
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
24.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
25.
What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x
a)
(3,1)
b)
(1,3)
c)
(-3,1)
d)
(3,-1)
26.
(5-i)(5-i)
a)
15-8i
b)
36
c)
24+10i
d)
24-10i
27.
(7-5i)(7+5i)
a)
74
b)
75
c)
74-1
28.
Simplify.
a)
-5i
b)
5
c)
5i
d)
-5
29.
(-3-i)(6-i)
a)
-21-7i
b)
-19-3i
c)
-15-5i
d)
-17-9i
30.
Describe the transformation that is applied to the parent function. 
f(x) = IxI -5
a)
Shifts left 5
b)
Shifts right 5
c)
Shifts up 5
d)
Shifts down 5
31.
Choose the correct translated function.
a)
f(x)= |x|+2
b)
f(x)= |x|-2
c)
f(x)= -|x|
d)
f(x)= -|x|+2
32.
What is the equation of the graph below?
a)
f(x) = - I x + 2 I 
b)
f(x) = - I x - 2 I 
c)
f(x) =  I x + 2 I 
d)
f(x) =  I x - 2 I 
33.
a)
-2, 4
b)
-8
c)
±8
d)
No real solution
34.
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
35.

Solve using the quadratic formula

a)

A

b)

B

c)

C

d)

D

36.
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
37.
Solve the radical equation and check for extraneous solutions:
a)
A
b)
B
c)
C
d)
D
38.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
39.
Match the equation to the graph.
a)
y=-(x+1)(x-2)(x-4)
b)
y=(x+1)2(x-3)(x-1)3
c)
y = 3x3 – 2x + 1
d)
y=(x+1)3(x-3)(x-1)2
40.
Simplify: (2x4-4x2+5x+2) ÷ (x+2)
a)
2x3-8x2+21-40+56/(x+2)
b)
2x3-8x2+16x-27+ 52/(x+2)
c)
2x3-8x2+16x-27+56/(x+2)
d)
2x2-8x+21-40/(x+2)
41.
Write the equation in vertex form:
y = -2x2+16x+4
a)
y=-2(x-4)2+4
b)
y =-2(x+4)2+36
c)
y=-2(x+4)2+4
d)
y =-2(x-4)2+36
42.
Solve:           (x-4)2-18 = 0
a)
x = 4 + 3√2
b)
x = 8.24, -.24
c)
x = 4 ± 3√2
d)
x = 4 ± √18
43.
The quadratic whose roots are -3 and 4.
a)
x2+x-12
b)
x2-x + 12
c)
x2+x+12
d)
x2-x-12
44.
What is the value: √-9 ⋅ √-16
a)
-12
b)
12i2
c)
12i
d)
-12i
45.
What would you add to 
x2-16x+___ to complete the square?
a)
4
b)
64
c)
16
d)
8
46.
Multiply
(x2-2x+1)(x+1)
a)
x3-x2-x+1
b)
x3-2x+2
c)
x3+x2+x+1
d)
x3-3x2-3x+1
47.
Multiply (5x+1)2
a)
25x2+5x+1
b)
10x2+1
c)
25x2+1
d)
25x2+10x+1
48.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
49.
Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all.  Upon completing the job he counted out the coins and it came to $6.60.  Which system of equations could be used to find the exact number of dimes and nickels? 
a)
d + n = 6.60
.10d + .05n = 80
b)
d + n = 80
d + n = 6.60
c)
d + n = 80
.10d + .05n = 6.60
d)
d + n = 80
.05d + .10n = 6.60
50.
 2x3(x2−2x − 3)
a)
2x6- 4x3 - 6x3
b)
2x5−4x4 − 6x3
c)
-2x5−4x4 − 6x3
d)
-2x6−4x3 − 6x3
51.

Sketch the graph of each function.

a)
b)
c)
d)
52.
a)

A (-2,0) (2,0)

b)

B (-2,0) (1,-3)

c)

C (0,-2) (-3,1)

d)

D (0,-4) (0,-2)

53.
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
54.
What should the graph of an absolute value function look like? 
a)
a V shape
b)
a line
c)
a U shape
d)
a diamond
55.
Solve: (Elimination)
2x - y = 13
3x + y = 2
a)
(-19, -3)
b)
(3, -7)
c)
(5, -3)
d)
(9, 5)
56.
1)  Distribute (2x - 3)2
a)
4x2 - 9
b)
4x2 + 9
c)
4x2 - 12x + 9
d)
4x2 - 12x - 9
57.
What is the/are the y-intercepts of
 f(x)=3x2 - 8x + 2
a)
(0, 2)
b)
(0, -2)
c)
(2, 0)
d)
(-2, 0)
58.
Rewrite f(x) = x2 - 10x + 14 in graphing/vertex form by completing the square.
a)
y = (x - 5)2 + 14
b)
y = (x - 5)2 - 11
c)
y = (x + 5)2 + 14
d)
y = (x + 5)2 - 11
59.
Simplify Completey:  x5 ⋅ x-3⋅ x12
a)
x-180
b)
x14
c)
x180
d)
x-14
60.
Which parent function matches the graph?
a)
y = |x|
b)
y = x
c)
y = x2
d)
y = 2x
61.
Name the parent function.
a)
linear
b)
quadratic
c)
cube root
d)
cubic
62.
Name the parent function. 
a)
constant
b)
square root
c)
linear
d)
absolute value
63.
Which equation below is a quadratic function translated up 5 units?
a)
y = x2 + 5
b)
y = (x + 5)2
c)
y = 5x2
d)
y = -x2 - 5
64.
What type of function is shown?
a)
cube root
b)
square root
c)
logarithm
d)
exponential
65.
Which equation is a quadratic function reflected over the x-axis and shifted up 2.
a)
y = x2 + 2
b)
y = -x2 + 2
c)
y = x2 - 2
d)
y = -(x + 2)2
66.
Which equation is an absolute value graph shifted right 5 units?
a)
y = |x - 5|
b)
y = |x + 5|
c)
y = |x| + 5
d)
y = -5|x|
67.
What is the Range?
a)
y ≥ 6
b)
y ≤ 6
c)
-10 ≤ y ≤ 6
d)
-10 ≤ x ≤ 6
68.
Find the Range.
a)
All Real numbers
b)
0 < y < 11
c)
y ≥ 0
d)
y > 0
69.
What is the Domain?
a)
-3 ≤ x < 5
b)
-3 ≤ y < 5
c)
-8 ≤ x < 5
d)
-8 ≤ y < 5
70.
What is the Range?
a)
-3 ≤ y < 2
b)
-3 < y ≤ 2
c)
-7 ≤ y ≤ 2
d)
-7 ≤ y < 2
71.
Find the Domain.
a)
All real numbers
b)
x > 3
c)
x > 0
d)
x ≥ 0
72.
What is the Domain?
a)
0 < y < ∞
b)
y ≥ 0
c)
0 ≤ x
d)
0 < x < ∞
73.
What is the Domain?
a)
-10 ≤ y ≤ 6
b)
y ≤ 6
c)
-10 ≤ x ≤ 6
d)
All Real Numbers
74.
What is the Range?
a)
All real numbers
b)
y ≥ 3
c)
y > 3
d)
3 ≤ y ≤ 8
75.
What is f(-1)?
a)
6
b)
-2
c)
sqrt(2)
d)
DNE
76.
Using the pictured graph, what is f(-3)? 
a)
-3
b)
-1
c)
1
d)
3
77.
What is g(7) if:
a)
-17
b)
-13 
c)
13       
d)
17
78.
What are the domain restrictions for the green piece of this function?
a)
-2 < x ≤ 1
b)
-1 < x ≤ 0.5
c)
x > -2
d)
x ≤ 1
79.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

80.
Find f(-2)
a)
-3
b)
6
c)
8
d)
-6
81.
What is the value of f(0)?
a)
-2
b)
2
c)
4
d)
0
82.
1. What is this type of function called?
a)
Discrete Function 
b)
Segment Function
c)
Step Function
d)
Jump Function
83.

Select the graph that correctly represents the height of a rocket above the ground, y, x seconds after it has been launches.

a)
b)
c)
d)
84.

How much does it cost to have your lawn mowed for 2 hours?

a)

$19

b)

$12

c)

$18

d)

$24

85.

What type of correlation does this graph have?

a)

Negative

b)

no association

c)

positive

86.

Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 12 absences should get approximately what score on the final exam?

a)

60

b)

92

c)

70

d)

76

87.

Which sentence describes the relationship shown on this scatter plot?

a)

As the temperature decreases, the visitors increase.

b)

As the temperature increases, the number of visitors increases.

c)

As the visitors increase, the temperature decreases.

d)

No correlation

88.

Describe the correlation in the graph shown.

a)

Strong Negative

b)

Strong Positive

c)

Weak Negative

d)

Weak Positive

89.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many pages would be in a book with 19 chapters.

a)

150 pages

b)

170 pages

c)

190 pages

d)

210 pages

90.

Which scatter plot show a positive relationship?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

91.

Estimate the correlation coefficient for this scatterplot.

a)

r = 1.2

b)

r = 0.89

c)

r = 0

d)

r = -0.89

92.

Estimate the correlation coefficient for this scatterplot.

a)

r = -0.9

b)

r = 1

c)

r = 0.9

d)

r = -1

93.

r=0.3

a)

Strong positive

b)

Weak positive

c)

Strong negative

d)

Weak negative

94.

r=-0.89

a)

Strong positive

b)

Weak positive

c)

Strong negative

d)

Weak negative

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