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WorksheetsNC Math 2 Final Exam Practice
Total questions: 70
Worksheet time: 4hrs 30mins
Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
a)
a6 / b12
b)
b12/ a4
c)
a12 / b6
d)
1 / a6b10
3.
Fill in the blank.
The product or two irrational numbers is _________ an irrational number.
The product or two irrational numbers is _________ an irrational number.
a)
always
b)
sometime
c)
never
4.
Which number is irrational?
a)
9.6
b)
√45
c)
3/8
d)
3.4 x 10 ⁵
5.
When solving by completing the square
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
6.
Solve. x2 + 4x - 16 = 0
a)
b)
c)
d)
7.
What is the first step to solving THIS equation by completing the square?
a2 + 10a + 21 = 0
a2 + 10a + 21 = 0
a)
Set the equation equal to zero
b)
Divide 10 by 2 and add the result to both sides
c)
Add a2 and 10a together
d)
Subtract the 21
8.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
9.
What is the equation for the axis of symmetry of
f(x)= (x +1)2 + 5
f(x)= (x +1)2 + 5
a)
x = 1
b)
x = -1
c)
x = -5
d)
x = 5
10.
What is the vertex form of this quadratic?
a)
f(x) = -(x + 2)2 - 4
b)
f(x) = (x - 2)2 + 4
c)
f(x) = (x - 2)2 - 4
d)
f(x) = -(x - 2)2 - 4
11.
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
12.
Describe the transformation of y = 3(x - 3)2 + 3
a)
Narrow, Right, Up
b)
Narrow, Left, Down
c)
Wide, Right, Up
d)
Wide, Left, Down
13.
Find the axis of symmetry of f(x) = -(x + 2)(x - 4)
a)
y = 1
b)
x = 1
c)
y = -1
d)
x = -1
14.
Pablo throws a ball with a path of
h = -5(t - 2)2.
Maria throws a ball with a path of
h = -5(t - 2)2 + 10.
Which description is reasonable for the difference in the two equations?
h = -5(t - 2)2.
Maria throws a ball with a path of
h = -5(t - 2)2 + 10.
Which description is reasonable for the difference in the two equations?
a)
Maria throws the ball 10 times harder than Pablo does.
b)
Maria starts her ball at a height 10 feet higher than Pablo does.
c)
Pablo throws the ball 10 times harder than Maria does.
d)
Pablo starts his ball at a height 10 feet higher than Maria does.
15.
How did we transform from the parent function?
y = -1/2(x - 1)2 + 3
y = -1/2(x - 1)2 + 3
a)
reflection, vertical compression, horizontal right, vertical up
b)
vertical compression, horizontal shift left, vertical shift up
c)
reflection, horizontal shift right, vertical shift down
d)
no changes were made to y = x2
16.
Which quadratic function is represented by the graph?
a)
y = 2(x - 4)2 + 5
b)
y = 2(x + 4)2 + 5
c)
y = -2(x - 4)2 + 5
d)
y = -2(x + 4)2 + 5
17.
Convert the equation y= x2-2x-5 into vertex form.
a)
y= (x-1)2-6
b)
y= -(x-1)2-6
c)
y= (x+1)2-6
d)
y= -(x+6)2-1
18.
Find the zero(s) to the given quadratic.
a)
{±1.5}
b)
{1.5}
c)
{±1}
d)
No real solution
19.
A dolphin jumps out of the water with an initial velocity of 20 feet per second (assume its starting height is 0 ft). Use the mode, h = -16t2 + 20t + 0 to calculate the amount of time the dolphin is in the air before it hits the water again. Round your answer to the nearest tenth.
a)
1 second
b)
1.4 seconds
c)
1.3 seconds
d)
2.3 seconds
20.
Solve x2 - 5x + 10 = 0
a)
(5 - i√15)/2 , (5 + i√15)/2
b)
(5 - √15)/2 , (5 + √15)/2
c)
(5 - i√65)/2 , (5 + i√65)/2
d)
(5 - √65)/2 , (5 + √65)/2
21.
Find the solution(s):
y = x2 - 4x + 6
y = x + 2
y = x2 - 4x + 6
y = x + 2
a)
(1, 4)
b)
(-1, 1) and (4, 2)
c)
(1, 3) and (4, 6)
d)
(1, 4) and (3, 6)
22.
Question 4
a)
20
b)
11
c)
4
d)
-2
23.
Question 5
a)
10
b)
5
c)
-10
d)
-5
24.
Question 8
a)
8
b)
2
c)
9
d)
0
25.
What is the equation of the graph?
a)
y = √(x - 3)
b)
y = √(x) + 3
c)
y = √(x - 5) + 4
d)
y = √(x + 5) + 4
26.
The time to complete a project varies inversely with the number of employees.
If 3 people can complete the project in 7 days, how long will it take 5 people?
If 3 people can complete the project in 7 days, how long will it take 5 people?
a)
12 days
b)
4.2 days
c)
6.2 days
d)
10 days
27.
Is the given table a direct or inverse variation? What is the constant of variation?
a)
Direct, 12
b)
Inverse, 12
c)
Direct, 1/12
d)
Inverse, 1/12
28.
Calculate the average rate of change from 20 to 40 minutes.
a)
-2 minutes per gallon
b)
-20 minutes per gallon
c)
-2 gallons per minute
d)
-20 gallons per minute
29.
Which of the following intervals has the largest average rate of change?
a)
[13,14]
b)
[13, 17]
c)
[16, 17]
d)
[16, 19]
30.
What is the order and angle of rotation of the flag?
a)
Order 2, 180 degrees
b)
Order 4, 90 degrees
c)
Order 3, 120 degrees
d)
Order 1, 360 degrees
31.
Identify the smallest angle of rotation that maps the image to itself.
a)
60°
b)
None
c)
51.4°
d)
45°
32.
What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?
a)
a reflection followed by a rotation
b)
a reflection followed by a translation
c)
a translation followed by a rotation
d)
a translation followed by a reflection
33.
Write a rule for the translation.
a)
(x -1, y + 2)
b)
(x -2, y + 1)
c)
(x +2, y - 1)
d)
(x +1, y - 2)
34.
The rule for a rotation of 90° is ...
a)
(-y, x)
b)
(-x, -y)
c)
(y, -x)
d)
(y, x)
35.
If you are performing a reflection in the line y=x, the rule is ...
a)
(x, y)
b)
(-x, y)
c)
(x, -y)
d)
(y, x)
36.
State if the two triangles are congruent. If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
37.
What additional information is required for the 2 triangles to be congruent by ASA?
a)
A
b)
B
c)
C
d)
D
38.
What additional information is required for the 2 triangles to be congruent by SAS?
a)
A
b)
B
c)
C
d)
D
39.
Are these triangles congruent?
a)
Yes, by ASA
b)
Yes, by SAS
c)
Yes, by AAS
d)
No, this is the SSA one!!
40.
What is statement #2?
a)
∠ABC≅∠EDC
b)
∠BCA≅∠DCE
c)
BC≅CD
d)
∠E≅∠A
41.
What is reason #2?
a)
Definition of Midpoint
b)
Definition of Perpendicular
c)
Definition of Bisect
d)
Definition of Right Triangle
42.
What is statement #3?
a)
FH≅FH
b)
GF≅GF
c)
IH≅IH
d)
GF≅FI
43.
What is reason #4?
a)
Reflexive Property
b)
Definition of Midpoint
c)
Vertical angles are congruent.
d)
Given
44.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
45.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
46.
QR is a midsegment of triangle BCD. Solve for the value of x.
a)
11
b)
18
c)
9
d)
-7
47.
What is the value of "x" in the diagram below?
a)
2.5
b)
5
c)
5√3
d)
10
48.
Which inverse trig function would you use to find the measure of Angle A?
a)
inverse sine
b)
inverse cosine
c)
inverse tangent
d)
It is not possible to determine m<A
49.
Spencer is going snowboarding. He rode the ski lift to the top of the mountain, which is at an altitude of 1500 feet. The angle of elevation from the bottom to the top of the mountain is 25o. What is the length of the Spencer’s run (his trip down the hill)?
a)
3216.76 feet
b)
633.93 feet
c)
699.46 feet
d)
3549.30
50.
Determine whether the triangles are similar or not. If so, state how they are similar.
a)
Yes, by AA Similarity
b)
Yes, by SAS Similarity
c)
Yes, by SSS Similarity
d)
No, not similar
51.
Determine whether the triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
not similar
52.
What is the height of the Tree?
a)
20
b)
15
c)
30
d)
10
53.
Find the value of x.
a)
90/13
b)
56/3
c)
21/8
d)
96/7
54.
Solve for x
a)
2
b)
4
c)
8
d)
16
55.
What is the relationship between angle 7 and angle 1?
a)
Corresponding Angles
b)
Same-Side Interior Angles
c)
Alternate Interior Angles
d)
Alternate Exterior Angles
56.
Lines r and s are cut by a transversal. What value of x proves r ∥ s?
a)
43
b)
37
c)
143
d)
37
57.
Solve for the value of x.
a)
x = 10
b)
x = 20
c)
x = 3
d)
x = 45
58.
Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0)
a)
(4, 3.5)
b)
(3.5, 5)
c)
(3.5, 4.5)
d)
(5, 3.5)
59.
P(Pizza ∩ Water) =
a)
62/182
b)
120/400
c)
58/400
d)
140/400
60.
P(Pizza ∪ Water) =
a)
182/400 + 140/400 - 58/400
b)
182/400 + 140/400 - 0
c)
58/400 + 140/400 -182/400
d)
182 + 140 - 58
61.
What statement does the shaded region represent?
a)
A or B
b)
A and B
c)
A
d)
B
62.
What is
P(Foreign language ∩ Sport)?
P(Foreign language ∩ Sport)?
a)
14/50
b)
47/50
c)
24/50
d)
14/47
63.
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. You select one green marble from bag A and one black marble from bag B. Is this an independent or dependent event?
a)
Independent
b)
Dependent
64.
Suppose that A and B are events in a sample space with P(A) = 0.8 and P(B|A) = 0.5. Then P(A and B) =
a)
0.3
b)
0.4
c)
0.625
d)
0.8
65.
What is the probability that a student does play a sport given they do not play an instrument?
a)
.2
b)
.2222
c)
.10
d)
.5
66.
Given the following VENN Diagram answer the following.
P( A | B )
a)
2
b)
.4
c)
.6
d)
.8
67.
The set of all the possible outcomes is called:
a)
Result
b)
Sample Space
c)
Probability
d)
Event
68.
Which shows the sample space for flipping two coins?
H = heads, T = tails
H = heads, T = tails
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
HH, TT, TT, HH
69.
Three coins are tossed. Use the Sample Space provided. What's the probability of flipping only one tails?
a)
⅛
b)
1/4
c)
⅓
d)
⅞
70.
Bag: 20 marbles, 5 blue
We draw three marbles without replacement. What is the probability of all three being blue? (Use a calculator. Round to five decimal places as needed.)
a)
0.25
b)
0.62719
c)
0.01563
d)
0.00877
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