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Math 2 Review

Total questions: 42

Worksheet time: 2hrs 52mins

Name
Class
Date
1.
Use the quadratic formula to solve 2x2 + 2x - 12?
a)
-2, 3
b)
2, 3
c)
2, -3
d)
-2, -3
2.
Solve using the Quadratic Formula.
a)
A
b)
B
c)
C
d)
D
3.
Which transformation maps the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
a)
a reflection across the line x = -4
b)
a reflection across the line y = -4
c)
a translation shifting f(x) 4 units to the left
d)
a translation shifting f(x) 4 units to the right
4.

What is the significance of the ordered pair (2, -4) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

5.

Determine the domain and range of the function

a)

Domain: All real numbers, Range: All real numbers

b)

Domain: x ≥ -4, Range: All real numbers

c)

Domain: All real numbers, Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

6.
Write each expression in exponential form. 
a)
A
b)
B
c)
C
d)
D
7.
Simplify:
a)
8x9
b)
8x3
c)
8x4√x
d)
8x3√x
8.

What are the transformations of this functions compared to the parent function?

a)

Shifted right 5, shifted down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch by 2, and shifted right 5

c)

Reflected over the x-axis, vertical stretch by 2, and shifted left 5

d)

Shifted right 5, shifted down 2

9.

What is the domain of this function?

 y=x−1−3y=\sqrt{x-1}-3  

a)

{x ∣ x ≥ 1}

b)

{x ∣ x ≤ 1}

c)

{x ∣ x ≥ -3}

d)

{x ∣ x ≥ -1}

10.
Solve
a)
102
b)
12
c)
98
d)
7
11.
How is this function transformed from the parent function?
a)
Translated left and up
b)
Translated right and up
c)
Translated left and down
d)
Translated right and down
12.
Find the vertical asymptote(s).
a)
None
b)
x = 0
c)
x= 4
d)
x = -4, 4
13.
What is the constant (k) in this inverse variation?
y = 400/x
a)
x
b)
y
c)
400
d)
Not enough information given
14.
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
15.

The time it takes to drive to Dallas is inversely proportional to your driving speed. It takes 3 hours to get to Dallas if you drive 60 mph. How long will the trip take if you drive 72 mph?

a)

2.5 hours

b)

2.6 hours

c)

2.8 hours

d)

3.5 hours

e)

3.6 hours

16.
The cost per person to rent a mountain cabin is inversely proportional (varies inversely) to the number of people who share the rent. If the cost is $36 per person when 5 people share, what is the cost per person when 8 people share?
a)
$22.50
b)
$57.60
c)
$1.11
d)
$12.50
17.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
18.

Solve for x.

a)

44o

b)

-14o

c)

-7o

d)

63o

19.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
20.
QR is a midsegment of triangle FGH. Solve for the value of x?
a)
5.5
b)
11
c)
-5.5
d)
-11
21.
QR is a midsegment of triangle BCD. Solve for the value of x.
a)
11
b)
18
c)
9
d)
-7
22.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
23.
WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?
a)
X=12
b)
8X - 17 + 5X +19 = 180
c)
8X - 17 = 5X +19
d)
X= -12
24.
If angle 4 is x + 15 and angle 2 is 3x - 5, what is the value of x?
a)
5
b)
10
c)
25
d)
x + 15
25.
What is the measure of ∠8?
a)
55
b)
155
c)
135
d)
45
26.
These two triangles are congruent. If ∠C is 40o find the measure of ∠F.
a)
40o
b)
50o
c)
90o
d)
45o
27.

Given the two triangles, which statement is true by CPCTC?

a)

 ∠ACB ≅ ∠ DFE\angle ACB\ \cong\ \angle\ DFE  

b)

 ∠ BAC ≅ ∠ FDE\angle\ BAC\ \cong\ \angle\ FDE  

c)

 ∠CAB ≅∠FED\angle CAB\ \cong\angle FED  

d)

 ∠ABC ≅ ∠ DEF\angle ABC\ \cong\ \angle\ DEF  

28.
Are the triangles congruent, if yes, why?
a)
SAS
b)
ASA
c)
SSS
d)
Not Congruent
29.

Are these triangles congruent?

a)

Yes - SSS

b)

Yes - AAA

c)

No - They are different

d)

Not enough information

30.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - SSS

c)

No, they are different

d)

Not enough information

31.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - ASA

c)

Not enough information

d)

Yes - SAS

32.
What are the coordinates of A', the image of point A(-3, 4), after a 180⁰ rotation about the origin?
a)
(4, -3)
b)
(-4, -3)
c)
(3, 4)
d)
(3, -4)
33.
Identify the transformation from A to C.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
34.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
35.
What is the angle of rotational symmetry?
a)
360°
b)
180°
c)
120°
d)
90°
36.

Determine whether the figure has line symmetry, rotational symmetry, both, or neither.

a)

Rotational

b)

Reflectional

c)

Both

d)

Neither

37.
Identify the smallest angle of rotation that maps the image to itself.
a)
72°
b)
180°
c)
144°
d)
45°
38.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
39.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
40.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
41.

Solve for x.

a)

17.2

b)

27.1

c)

8.3

d)

30.9

42.
Solve for the missing angle
a)
50
b)
0.053
c)
36.9
d)
95