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Math 2 Semester 1 Final Review

Total questions: 66

Worksheet time: 3hrs 47mins

Name
Class
Date
1.
√24
a)
4√6
b)
2√6
c)
6√2
d)
2√12
2.
√45
a)
3√5
b)
5√3
c)
9√5
d)
5√9
3.

Simplify the radical...

√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

4.
a)
y2z10√xy
b)
20yz√xy
c)
xy2z10√y
d)
yz6√xy2z2
5.
Simplify.
50
a)
5
b)
1
c)
0
d)
50
6.
Completely simplify.  Turn into a positive exponent.
1/n-5
a)
1/n5
b)
n5/1
c)
n5
d)
n/5
7.
a)
k7
b)
k3
c)
1/k10
d)
k10
8.
a)
b6
b)
b7
c)
b1
d)
b-6
9.
a)
a2
b)
a-2
c)
1/a2
d)
a6
10.
1.)  Simplify
 (2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
11.
Evaluate the expression using the Same Base, Division rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
12.
What is the value of 27⅓?
a)
27
b)
9
c)
3
d)
1/3
13.
The number under the radical sign or square root sign  is called the ______.
a)
radical sign
b)
radicand
c)
factor
d)
exponent
14.
(3x)1/2
a)
√3x
b)
3√x
c)
3x
d)
√3
15.
Solve
a)
2
b)
-27/7
c)
-32/7
d)
27/7
16.
Solve
a)
8
b)
38
c)
34
d)
14
17.
Solve.
a)
no solution
b)
6
c)
3
d)
4
18.
Find the product:
(5n-8)(5n+8)
a)
25n2-64
b)
10n2
c)
5n2+16
d)
16
19.
Find the product:
(2x+3)2
a)
2x+3+2x+3
b)
4x2+12x+9
c)
4x2+9
d)
16x2+9
20.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
21.
Find the difference. 
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
22.
Simplify the expression.
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
23.
Find the Difference.
(4x3 -3x2 + 6x - 4) - (-2x3 + x2 -20)
a)
4x2 - 6x3 - 2x + 6
b)
3x + 5x2 + 1
c)
6X3 -4X2 + 6X -2
d)
3x + 2
24.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
25.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
26.
Does this parabola have a maximum or minimum?
a)
Maximum
b)
Minimum
27.
Find the y-intercept of f(x) = 2x2 - 2x + 1
a)
2
b)
-2
c)
1
d)
-1
28.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
a)
(3,2)
b)
(-3,-2)
c)
(-3,2)
d)
(3,-2)
29.
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation 
s(t) = –16t2 + 64t + 80.
What will be the object's maximum height? 
a)
2 ft
b)
80 ft
c)
144 ft
d)
64 ft
30.
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation 
s(t) = –16t2 + 64t + 80.
What will be the object's maximum height? 
a)
2 ft
b)
80 ft
c)
144 ft
d)
64 ft
31.
Given the equation for this parabola:
 y=-(x-4)2-3,
does this parabola have a maximum or minimum value?
a)
Maximum
b)
Minimum
32.
How would you change the graph of f(x) = x2 to produce the graph of g(x) = x2 - 4?
a)
shifts the graph f(x) down 4 units
b)
shifts the graph f(x) up 4 units
c)
shifts the graph f(x) left 4 units
d)
reflects the graph of f(x)
33.
What is the equation for this parabola in factored form?
a)
y=(x+2)(x-1)
b)
y=(x-2)(x+1)
c)
y=(x-2)(x-1)
d)
y=(x+2)(x+1)
34.

A quadratic equation has a vertex form of y = -2(x - 1)2 - 2. Which of the following is equivalent to this form?

a)

y = 2x2 - 4x + 4

b)

y = -2x2 + 4x - 4

c)

y = -2x2 - 4x + 4

d)

y = 2x2 + 4x - 4

35.
Given the zeros below, what is the quadratic equation?
a)
y=x2 +9x -8
b)
y=x2 +9x +8
c)
y=x2 -9x -8
d)
y=x2 -9x-8
36.
What is the equation in vertex form?
a)
y = -4(x + 3)2 - 4
b)
y = -4(x - 3) - 4
c)
y = -4(x + 3)2 + 4
d)
y = -4(x - 3)2 + 4
37.
Factor:
x2 + 5x - 24
a)
(x - 8)(x + 3)
b)
(x + 8)(x - 3)
c)
(x + 6)(x - 4)
d)
(x + 12)(x - 2)
38.

Factor:

x2 + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

39.
Factor:
x2 - 23x - 24
a)
(x + 24)(x - 1)
b)
(x - 12)(x + 2)
c)
(x - 24)(x + 1)
d)
(x + 12)(x - 2)
40.

What are the factors AND solutions of x2 + 2x – 3 = 0

a)

(x - 2)(x + 1); x=2, x=-1

b)

(x + 1)(x - 3); x=-1, x=3

c)

(x + 2)(x - 1); x=-2, x=1

d)

(x - 1)(x + 3); x=1, x=-3

41.
Find the zeros of the equation: 
(x+10)(x-2) = 0
a)
10 and 2
b)
-2 and 10
c)
-10 and 2
d)
-2 and -10
42.
Determine the values of
a, b, and c for
the quadratic equation: 
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
43.

What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

44.
Complete the square.
x2 + 6x + ____
a)
x2 + 6x + 9
b)
x2 + 6x - 36
c)
x2 + 6x + 36
d)
x2 + 6x - 9
45.
Complete the Square
x2 + 6x = 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
46.

Simplify (2-i)(4+3i)

a)

2i+11

b)

2i2+5

c)

10i+11

d)

10i+5

47.
√-36
a)
6
b)
-6
c)
-6i
d)
6i
48.
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
49.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
50.
(3+8i)(-2-i)
a)
2-19i
b)
23-i
c)
34+5i
d)
23-i
51.
Is the Equation Linear or Exponential?
a)
Linear
b)
Exponential
52.
Is the Equation Linear or Exponential?
a)
Linear
b)
Exponential
53.
Is the Equation Linear or Exponential?
a)
Linear
b)
Exponential
54.
What type of function is f(x) = 3(¼)x?
a)
exponential decay
b)
linear
c)
exponential growth
d)
quadratic
55.
What type of function is f(x) = 2(x+4)2-7?
a)
exponential decay
b)
linear
c)
exponential growth
d)
quadratic
56.
What type of function best models the situation: A zombie virus has infected the population and the number of infected people triples every day.
a)
linear
b)
quadratic
c)
exponential growth
d)
exponential decay
57.
Write the exponential regression equation for this data.
a)
Y = 8.16(2.7)X
b)
Y = 81.6(2.7)X
c)
Y = 8.16(.27)X
d)
Y = 8.16(27)X
58.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
59.

You get to pick one DeVries. Sean, Dave or Eric?

a)

Sean

b)

Dave

c)

Eric

d)

All of them

60.

What did my true love get for me on the 8th day of Christmas?

a)

8 maids a milking.

b)

8 ladies a dancing

c)

8 lords a leaping

d)

8 swans a swimming

e)

8 geese a laying

61.

Where is Crammin' With Cocoa?

a)

The ILC

b)

The Commons

c)

Wherever the party is!

d)

The Cafeteria

62.

What percent of your overall grade is the final?

a)

10%

b)

15%

c)

20%

d)

25%

e)

30%

63.
Which Math Department Member was a State Qualifying Wrestler in High School?
a)
Mr. House
b)
Mr. Benton
c)
Mr. Stanich
d)
Mr. Hlinak
64.

What really grinds Mr. House's Gears?

a)

Tuna Salad that looks like Chicken Salad

b)

When Students Line Up At The Door

c)

When people have "Unappreciated Swag"

d)

Paul

65.
Who's the good dog?
a)
Charlie
b)
Remi
c)
Jasper
d)
Roscoe
66.

What day is the final for this class?

a)

Wednesday

b)

Thursday

c)

Friday

d)

Saturday

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