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Math 2 Practice Exam

Total questions: 60

Worksheet time: 9hrs 58mins

Name
Class
Date
1.

7k - 14 = 42

a)

7

b)

-8

c)

0

d)

8

2.

6 + n/5 = -4

a)

-50

b)

56

c)

50

d)

56

3.
3a + 9 + 4a = 2
a)
-1
b)
1
c)
no solution
d)
-7
4.
4(a + 3) = -32
a)
-11
b)
-44
c)
-20
d)
-8
5.

What does a translation do to an image?

a)

shrinks it

b)

mirrors it

c)

slides it

d)

turns it clockwise

6.

How many degrees was the figure rotated?

a)

90 degrees clockwise

b)

90 degrees counterclockwise

c)

180 degrees

7.

This type of transformation is called a _______________.

a)

Rotation

b)

Translation

c)

Reflection

d)

Dilation

8.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

a)

translated 5 units to the right and 8 units down

b)

translated 8 units to the right and 5 units down

c)

translated 5 units to the right and 5 units down

d)

translated 1 left and 5 units down

9.

What type of rotation does this represent (from red to blue)?

a)

270 degrees clockwise

b)

180 degrees

c)

90 degrees counterclockwise

d)

360 degrees

10.

What would Point C become if you reflect it over the x-axis?

a)

(-3, 2)

b)

(-2, 3)

c)

(3, -2)

d)

(3, 2)

11.

Which image shows a reflection across the y-axis?

a)

A

b)

B

c)

C

d)

D

12.

If two figures are similar, their angles are congruent, and their sides are _______________.

a)

congruent

b)

supplementary

c)

proportional

d)

complementary

13.

Are these triangles similar?

a)

Yes

b)

No

14.

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

a)

SAS

b)

ASA

c)

Not Congruent

d)

SSS

15.

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

a)

SAS

b)

ASA

c)

SSS

d)

AAS

16.

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

a)

SAS

b)

ASA

c)

SSS

d)

AAS

17.

Find side length x.

a)

16

b)

18

c)

15

d)

2.4

18.

Find side length x.

a)

30

b)

25

c)

15

d)

40

19.

A power pole 10 meters tall casts a shadow 8 meters long. At the same time, a building nearby cast a shadow 14 meters long. How tall is the building?

a)

9 m

b)

12 m

c)

15.2 m

d)

17.5 m

20.

If you are given the hypotenuse in this 45-45-90 triangle, how do you find the length of the leg?

a)

Divide by  2\sqrt{2}  

b)

Multiply by  2\sqrt{2}  

c)

Multiply by 2

d)

Divide by 2

21.

What is the length of y in this 45-45-90 triangle?

a)

828\sqrt{2}

b)

424\sqrt{2}

c)

8

d)

4

22.

Which side is the short leg in this 30-60-90 triangle?

a)

6

b)

m

c)

n

d)

None of these

23.

You have been given the short leg in this 30-60-90 triangle. How do you find the long leg?

a)

Multiply 4 by 2

b)

Divide 4 by 2

c)

Multiply 4 by 3\sqrt{3}

d)

Divide 4 by 3\sqrt{3}

24.

Find a in this 30-60-90 triangle.

a)

24

b)

12

c)

36

d)

12312\sqrt{3}

25.

Use the 45-45-90 theorem to solve for the hypotenuse.

a)

8

b)

828\sqrt{2}

c)

16

d)

4

26.

Which one is the easy way to remember trigonometric ratios?

a)

SAH-COA-TOA

b)

SOH-CAH-TAO

c)

SOH-CAH-TOA

27.

If you are given the opposite side and the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

28.

What is tan C?

a)

A

b)

B

c)

C

d)

D

29.

What is the correct ratio?

a)

cos 40 = w / 28

b)

tan 40 = w / 28

c)

sin 40 = 28 / w

d)

sin 40 = w / 28

30.

Solve for x. Round to the nearest tenth.

a)

14.1

b)

30.1

c)

7.5

d)

34.1

31.

Solve for x. Round to the nearest tenth.

a)

4.9

b)

29.7

c)

290.4

d)

24.2

32.

Solve for x. Round to the nearest degree.

a)

32°32\degree

b)

61°61\degree

c)

50°50\degree

d)

44°44\degree

33.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
34.
Find the missing side
a)
9
b)
26.9
c)
37
d)
18.2
35.

Multiply (2x + 3)(3x + 4)

a)

6x2 +17x + 76x^2\ +17x\ +\ 7

b)

6x2+8x+126x^2+8x+12

c)

6x2+17x+126x^2+17x+12

d)

6x2+9x+126x^2+9x+12

36.
(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
37.

Use the Zero Product Property to solve the equation:

(7x + 2)(5x - 4) = 0

a)

2 and -4

b)

-2 and 4

c)

2/7 and 4/5

d)

-2/7 and 4/5

38.

Factor the following:

 x29x+20x^2-9x+20  

a)

(x - 10)(x + 2)

b)

(x - 4)(x -5)

c)

(x + 4)(x + 5)

d)

Can't factor

39.

Solve by factoring:

 4x2+ 11x3 = 04x^2+\ 11x-3\ =\ 0  

a)

x=4 and x=3

b)

x= 1/4 and x= -3

c)

x= -1/4 and x=3

d)

x= -3/4 and x= -1

40.

Factor completely using GCF:

 3x2753x^2-75  

a)

Prime

b)

(x + 5)(x - 5)

c)

3(x + 5)(x - 5)

d)

3(x - 5)(x - 5)

41.

Solve using the Quadratic Formula:

 2x29x35=02x^2-9x-35=0  

a)

x=7/2 and x= -6

b)

x= -5/2 and x=5

c)

x= -3/7 and x=6

d)

x= -5/2 and x=7

42.

What is the vertex of this graph?

a)

(2, 0)

b)

(3, -1)

c)

(4, 0)

d)

(-1, 3)

43.

How many solutions does this graph have?

a)

none

b)

one

c)

two

d)

all real solutions

44.

Does this graph have a maximum or minimum?

a)

Maximum

b)

Minimum

45.

What is the equation of the axis of symmetry?

a)

y = 0

b)

x = 3

c)

x = 0

d)

x = -3

46.

Find the vertex of:

 2x28x+92x^2-8x+9  

a)

(1, 2)

b)

(2, 1)

c)

(2, 33)

d)

(33, -2)

47.
√5 + √20
a)
5
b)
25
c)
3√5
d)
2√3
48.

(3√6)+(4√6)

a)

42

b)

7√6

c)

7√12

d)

√12

49.
√5 × √10
a)
50
b)
2√5
c)
5√2
d)
5√10
50.
Simplify:
√6 ⋅√6
a)
√36
b)
2√3
c)
12
d)
6
51.
Simplify:
6√2 ⋅5√14
a)
32√7
b)
60√7
c)
2√7
d)
30√7
52.
What is the probability of spinning an even number? 
a)
16 2/3%
b)
33 1/3%
c)
50%
d)
75%
53.
What is the probability of spinning a number less than 5? 
a)
16 2/3%
b)
33 1/3 %
c)
66 2/3%
d)
83 1/3%
54.

The letters that form the word ALGEBRA are placed in a bowl.

What is the probability of choosing a letter that is NOT “A”?

a)

27\frac{2}{7}  

b)

549\frac{5}{49}  

c)

57\frac{5}{7}  

d)

1049\frac{10}{49}  

55.

What is the probability of spinning green?

a)

0

b)

14\frac{1}{4}

c)

12\frac{1}{2}

d)

34\frac{3}{4}

56.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
57.
What is the name of the Reggae singing Caribbean crab in the Little Mermaid?
a)
Sonny
b)
Sebastian
c)
Scotty P
d)
Scooby
58.
In which Disney film will you find the villain, Cruella De Vil?
a)
The Artisocrats
b)
Lighting McQueen
c)
101 Dalmations
d)
Tarzan
59.
Which 1991 Disney film has a female lead called Belle?
a)
Beauty and the Beast
b)
Sleeping Beauty
c)
Cinderella
d)
Aladdin
60.

What is the main song from the movie Frozen?

a)

Let me go

b)

Let it go

c)

I've got to break free

d)

Frozen love