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Algebra 2 Practice Final

Total questions: 25

Worksheet time: 2hrs 19mins

Name
Class
Date
1.
(5x4 - 4x3 - 2x2 + x - 19) - (x4 + 5x3 + 8x2 + x + 5)
a)
4x4 - 9x3 - 10x2 - 24
b)
4x4 - 9x3 - 10x2 - 2x - 24
c)
4x4 - 9x3 - 10x2 + 2x - 24
d)
-4x4 - 9x3 - 10x2 - 24
2.
(x+5)2
a)
x2+25
b)
2x+10
c)
x2+10x+25
d)
12x
3.
Which is GREATER?
27 or 72
a)
27
b)
72
c)
Neither, they are equal
4.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
a)
.08
b)
1.08
c)
.92
d)
8
5.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
a)
Growth
b)
Decay
6.

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

a)

9766

b)

9006

c)

9765

d)

5433

7.
Factor
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
8.
Find the product:
(3x + 2)(2x + 4)
a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
9.
Solve Using the Quadratic Formula
 x2 + 4x - 40 = -8
a)
-10 & -4
b)
-4 & 10
c)
-8 & 4
d)
8 & -4
10.
If the graph of a quadratic does not intercept the x-axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
11.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
12.
The vertex of this parabola is...
a)
(-4, -12.5)
b)
(12.5, 4)
c)
(-12.5, -4)
d)
(4, 12.5)
13.
Complete the square for
x2 + 12x + ____
a)
x2 + 12x + 144
b)
x2 + 12x + 36
c)
x2 + 12x - 36
d)
x2 + +12x - 144
14.
A rectangle has an area of 4x2 +19x + 12 and a length of (x + 4). What is the width?
a)
4x - 3
b)
4x + 3
c)
2x + 6
d)
2x + 3
15.

Find the perimeter of a square with a length of 3x - 1.

a)

3x - 4

b)

12x - 4

c)

6x - 2

d)

9x - 1

16.

Find the area of a rectangle with the following dimensions.

length = 5

width = 2x + 6

a)

10x + 6

b)

2x + 30

c)

10x - 30

d)

10x + 30

17.

The length of a rectangle is 5 centimeters less than the width. The area of the rectangle is 36 square centimeters. What is the length?

a)

4 cm

b)

9 cm

c)

14 cm

d)

26 cm

18.
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
19.
-5x3(2x2-9x+2)
a)
-10x6+45x3-10x3
b)
-10x5+45x4-10x3
c)
-10x5-45x4-10x3
20.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
21.

Simplify: (ab8c)(a-17c10)

a)

a17b8c11

b)

a16b8c11

c)

(b8c11)/(a16)

d)

a-17b8c10

22.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
a)
10 seconds
b)
64 seconds
c)
960 seconds
d)
2 seconds
23.

A ball is thrown into the air with an upward velocity of 64 ft/s. Its height, h, after t seconds is given by the function

h = -16t2 + 64t + 960.

When did the ball hit the ground?

a)

10 seconds

b)

2 seconds

c)

5 seconds

d)

7 seconds

24.

Solve using the Quadratic Formula

a)

A

b)

B

c)

C

d)

D

25.

Solve using the Quadratic Formula

a)

A

b)

B

c)

C

d)

D