Quiz about NC Math 2 Final Exam Practice

Question 1

Question 1.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 2

Question 2.

Accepted Answer

a⁶/ b¹²

Answer

b¹²/ a⁴

Answer

a¹²/ b⁶

Answer

1 / a⁶b¹⁰

Question 3

Fill in the blank.
The product or two irrational numbers is _________ an irrational number.

Accepted Answer

sometime

Answer

always

Answer

never

Question 4

When solving by completing the square

x² - 4x + 4 = 20,

what goes in the blank?

(x - __ )² = 20

Accepted Answer

2

Answer

4

Answer

8

Answer

20

Question 5

Solve. x² + 4x - 16 = 0

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 6

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

Accepted Answer

Subtract the 21

Answer

Set the equation equal to zero

Answer

Divide 10 by 2 and add the result to both sides

Answer

Add a² and 10a together

Question 7

Use the graph to determine the solutions.

Accepted Answer

1 and 3

Answer

-1 and -3

Answer

1 and -3

Answer

-1 and 3

Question 8

What is the equation for the axis of symmetry of
f(x)= (x +1)² + 5

Accepted Answer

x = -1

Answer

x = 1

Answer

x = -5

Answer

x = 5

Question 9

What is the vertex form of this quadratic?

Accepted Answer

f(x) = (x - 2)²- 4

Answer

f(x) = -(x + 2)²- 4

Answer

f(x) = (x - 2)²+ 4

Answer

f(x) = -(x - 2)² - 4

Question 10

If the blue is f(x)=x^2,then the red must be

Accepted Answer

g(x)=x2-5

Answer

g(x)=x2+5

Answer

g(x)=(x-5)²

Answer

g(x)=(x+5)²

Question 11

Describe the transformation of y = 3(x - 3)² + 3

Accepted Answer

Narrow, Right, Up

Answer

Narrow, Left, Down

Answer

Wide, Right, Up

Answer

Wide, Left, Down

Question 12

Find the axis of symmetry of f(x) = -(x + 2)(x - 4)

Accepted Answer

x = 1

Answer

y = 1

Answer

y = -1

Answer

x = -1

Question 13

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?

Accepted Answer

Maria starts her ball at a height 10 feet higher than Pablo does.

Answer

Maria throws the ball 10 times harder than Pablo does.

Answer

Pablo throws the ball 10 times harder than Maria does.

Answer

Pablo starts his ball at a height 10 feet higher than Maria does.

Question 14

How did we transform from the parent function?
y = -1/2(x - 1)² + 3

Accepted Answer

reflection, vertical compression, horizontal right, vertical up

Answer

vertical compression, horizontal shift left, vertical shift up

Answer

reflection, horizontal shift right, vertical shift down

Answer

no changes were made to y = x²

Question 15

Which quadratic function is represented by the graph?

Accepted Answer

y = -2(x + 4)² + 5

Answer

y = 2(x - 4)² + 5

Answer

y = 2(x + 4)² + 5

Answer

y = -2(x - 4)² + 5

Question 16

Convert the equation y= x²-2x-5 into vertex form.

Accepted Answer

y= (x-1)²-6

Answer

y= -(x-1)²-6

Answer

y= (x+1)²-6

Answer

y= -(x+6)²-1

Question 17

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.

Accepted Answer

1.3 seconds

Answer

1 second

Answer

1.4 seconds

Answer

2.3 seconds

Question 18

Find the solution(s):
y = x² - 4x + 6
y = x + 2

Accepted Answer

(1, 3) and (4, 6)

Answer

(1, 4)

Answer

(-1, 1) and (4, 2)

Answer

(1, 4) and (3, 6)

Question 19

Question 4

Accepted Answer

20

Answer

11

Answer

4

Answer

-2

Question 20

Question 5

Accepted Answer

10

Answer

5

Answer

-10

Answer

-5

Question 21

Question 8

Accepted Answer

2

Answer

8

Answer

9

Answer

0

Question 22

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?

Accepted Answer

4.2 days

Answer

12 days

Answer

6.2 days

Answer

10 days

Question 23

Is the given table a direct or inverse variation? What is the constant of variation?

Accepted Answer

Inverse, 12

Answer

Direct, 12

Answer

Direct, 1/12

Answer

Inverse, 1/12

Question 24

Calculate the average rate of change from 20 to 40 minutes.

Accepted Answer

-2 gallons per minute

Answer

-2 minutes per gallon

Answer

-20 minutes per gallon

Answer

-20 gallons per minute

Question 25

Which of the following intervals has the largest average rate of change?

Accepted Answer

[16, 19]

Answer

[13,14]

Answer

[13, 17]

Answer

[16, 17]

Question 26

What is the order and angle of rotation of the flag?

Accepted Answer

Order 4, 90 degrees

Answer

Order 2, 180 degrees

Answer

Order 3, 120 degrees

Answer

Order 1, 360 degrees

Question 27

Write a rule for the translation.

Accepted Answer

(x +2, y  - 1)

Answer

(x -1, y  + 2)

Answer

(x -2, y  + 1)

Answer

(x +1, y  -  2)

Question 28

If you are performing a reflection in the line y=x, the rule is ...

Accepted Answer

(y, x)

Answer

(x, y)

Answer

(-x, y)

Answer

(x, -y)

Question 29

State if the two triangles are congruent.  If they are, state how you know.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 30

What additional information is required for the 2 triangles to be congruent by ASA?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 31

What additional information is required for the 2 triangles to be congruent by SAS?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 32

Are these triangles congruent?

Accepted Answer

Yes, by SAS

Answer

Yes, by ASA

Answer

Yes, by AAS

Answer

No, this is the SSA one!!

Question 33

What is reason #2?

Accepted Answer

Definition of Bisect

Answer

Definition of Midpoint

Answer

Definition of Perpendicular

Answer

Definition of Right Triangle

Question 34

What is reason #4?

Accepted Answer

Reflexive Property

Answer

Definition of Midpoint

Answer

Vertical angles are congruent.

Answer

Given

Question 35

Which is a correct congruence statement.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 36

Find the value of x.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 37

QR is a midsegment of triangle BCD. Solve for the value of x.

Accepted Answer

11

Answer

18

Answer

9

Answer

-7

Question 38

Which inverse trig function would you use to find the measure of Angle A?

Accepted Answer

inverse sine

Answer

inverse cosine

Answer

inverse tangent

Answer

It is not possible to determine m

Question 39

Determine whether the triangles are similar or not. If so, state how they are similar.

Accepted Answer

Yes, by SAS Similarity

Answer

Yes, by AA Similarity

Answer

Yes, by SSS Similarity

Answer

No, not similar

Question 40

Determine whether the triangles are similar.

Accepted Answer

AA

Answer

SSS

Answer

SAS

Answer

not similar

Question 41

What is the height of the Tree?

Accepted Answer

20

Answer

15

Answer

30

Answer

10

Question 42

Find the value of x.

Accepted Answer

56/3

Answer

90/13

Answer

21/8

Answer

96/7

Question 43

Solve for x

Accepted Answer

2

Answer

4

Answer

8

Answer

16

Question 44

What is the relationship between angle 7 and angle 1?

Accepted Answer

Alternate Exterior Angles

Answer

Corresponding Angles

Answer

Same-Side Interior Angles

Answer

Alternate Interior Angles

Question 45

Solve for the value of x.

Accepted Answer

x = 10

Answer

x = 20

Answer

x = 3

Answer

x = 45

Question 46

Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0)

Accepted Answer

(5, 3.5)

Answer

(4, 3.5)

Answer

(3.5, 5)

Answer

(3.5, 4.5)

Question 47

What statement does the shaded region represent?

Accepted Answer

A or B

Answer

A and B

Answer

A

Answer

B

Question 48

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?

Accepted Answer

Independent

Answer

Dependent

Question 49

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) =

Accepted Answer

0.4

Answer

0.3

Answer

0.625

Answer

0.8

Question 50

What is the probability that a student does play a sport given they do not play an instrument?

Accepted Answer

.2222

Answer

.2

Answer

.10

Answer

.5

Question 51

Given the following VENN Diagram answer the following.

P( A | B )

Accepted Answer

.4

Answer

2

Answer

.6

Answer

.8

Question 52

The set of all the possible outcomes is called:

Accepted Answer

Sample Space

Answer

Result

Answer

Probability

Answer

Event

Question 53

Which shows the sample space for flipping two coins?
H = heads, T = tails

Accepted Answer

HH, HT, TH, TT

Answer

H, T

Answer

HH, TT

Answer

HH, TT, TT, HH

Question 54

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.)

Accepted Answer

0.00877

Answer

0.25

Answer

0.62719

Answer

0.01563

NC Math 2 Final Exam Practice

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