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Math 2 Review

Total questions: 41

Worksheet time: 3hrs 57mins

Name
Class
Date
1.
Solve    2x2 + 7x - 15 = 0
a)
-1.5 or 5
b)
No Solution
c)
-5 or 1.5
d)
0.7 or 5
2.

Solve by factoring.

a)

A

b)

B

c)

C

d)

D

3.
Solve the equation.
a)
A
b)
B
c)
C
d)
D
4.
Are the triangles congruent, if yes, why?
a)
SAS
b)
ASA
c)
SSS
d)
Not Congruent
5.
Find the measure of the indicated angle. 
a)
89
b)
211
c)
119
d)
81
6.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
right two, down five
b)
right two, down 9
c)
left two, down 9
d)
left two, down 5
7.
Identify the transformation from A to C.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
8.
A cliff diver on a Caribbean island jumps from a height of 105 feet, with an initial upward velocity of 5 feet per second.  An equation that models the height, h(t), above the water, in feet, of the diver in time elapsed, t, in seconds is h(t) = -16t2+ 5t + 105. How many seconds, to the nearest hundredth, does it take the diver to fall 45 feet below his starting point?
a)
1.45
b)
1.84
c)
2.10
d)
2.72
9.
The graph of y = (x - 3)2 is shifted left 4 units and down 2 units.  What is the axis of symmetry of the transformed graph?
a)
x = -2
b)
x = -1
c)
x = 1
d)
x = 7
10.
What is the range of f(x) = (x + 4)2 + 7?
a)
y > -4
b)
y≥ 4
c)
y = 7
d)
y≥ 7
11.
a)
{x | x > -4}; {y | y > 2}
b)
{x | x ≥ -4}; {y | y ≥ 2}
c)
{x | x > 2}; {y | y > -4}
d)
{x | x ≥ 2}; {y | y ≥ -4}  
12.
a)
6
b)
16
c)
24
d)
28
13.
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)
14.
a)
A
b)
B
c)
C
d)
D
15.
a)

5

b)

3

c)

-5

d)

7

16.
a)
x=3/17
b)
x=9
c)
x=3
d)
x= -3
17.
Which pair of angles are alternate exterior angles?
a)
Angle 7 and Angle 4
b)
Angle 2 and Angle 6
c)
Angle 8 and Angle 1
d)
Angle 2 and Angle 8
18.
What additional information is required for the 2 triangles to be congruent by ASA?
a)
A
b)
B
c)
C
d)
D
19.

Which NC city is known as the "Queen City"

a)

Hickory

b)

Charlotte

c)

Raleigh

d)

Winston

20.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
21.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
22.
What is the correct ratio?
a)
9/41
b)
40/41
c)
9/40
d)
40/9
23.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
Vertex Form
24.

What university did NC native Michael Jordan attend and play basketball for, before playing professionally for the Chicago Bulls?

a)

NC State

b)

Wake Forest

c)

Duke

d)

UNC Chapel Hill

25.
If the discriminant equals 0, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
26.
Solve      3x2 - 192 = 0
a)
-32 or 32
b)
No Solution
c)
-8 or 8
d)
-64 or 64
27.

What was the name of the site where the first airplane was flown?

a)

Kitty Hawk

b)

Courier Beach

c)

Flight Hawk

d)

Kitty Island

28.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
29.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
SSA
b)
AAS
c)
ASA
d)
Not necessarily congruent
30.

What year did UNC, the Nation's first public university, open its doors to students?

a)

1755

b)

1795

c)

1815

d)

1695

31.
Which of the following equations shows the vertex form of a quadratic?
a)
x = -b/2a
b)
x = (-b ±√b2 - 4ac)/2a
c)
y = ax2 + bx + c
d)
y = a(x - h)2 + k
32.
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
33.

What is the solution set for  3x2+9=54x3x^2+9=5-4x  ?

a)

 {2±2i2}\left\{-2\pm2i\sqrt{2}\right\}  

b)

 {2±22}\left\{-2\pm2\sqrt{2}\right\}  

c)

 {2±2i23}\left\{\frac{-2\pm2i\sqrt{2}}{3}\right\}  

d)

 {2±223}\left\{\frac{-2\pm2\sqrt{2}}{3}\right\}  

34.

If y varies inversely as x, and y = 32 when x = 3, find x when y = 15.

a)

3/5

b)

8/5

c)

16/5

d)

32/5

35.

Solve for n:  n5=226nn-5=\sqrt{22-6n}  

a)

No solution

b)

1

c)

3

d)

1 and 3

36.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
37.
Simplify:
a)
A
b)
B
c)
C
d)
D
38.

If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?

a)

18 days

b)

20 days

c)

22 days

d)

24 days

39.
Jake is 6 ft. tall. He is standing outside when the angle of elevation of the sun is 28 degrees. How long would his shadow be? 
a)
5.3 feet
b)
2.8 feet
c)
3.2 feet
d)
11.3 feet
40.
Sally is flying a kite at an angle of 41 degrees. If the kite is 10 feet up in the air, how long is the kite string? 
a)
6.6 feet
b)
10.3 feet
c)
15.2 feet
d)
20 feet
41.

The length of a violin string varies inversely with the frequency of its vibrations. A 14-inch long violin string vibrates at a frequency of 450 cycles per second.


Find the frequency of a 12-inch violin string.

a)

A) 526

b)

B) 524

c)

C) 525

d)

D) 523