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WorksheetsFinal Exam Review: Second Semester
Total questions: 67
Worksheet time: 4hrs 22mins
Name
Class
Date
1.
Find a simplified expression for the area of the shaded region.
a)
2x2 + 2x + 13
b)
10x + 5
c)
10x + 13
d)
2x2 + 13
2.
Find the area of the shaded region:
a)
66x3 + 12x2
b)
80x2 - 24x
c)
66x3 + 40x2 + 24x
d)
66x3 + 92x2 -24x
3.
The perimeter of the
triangle is 10x+20. Find the length of the missing side
triangle is 10x+20. Find the length of the missing side
a)
6x+10
b)
15x+30
c)
5x+10
d)
5x-10
4.
What is the width of this rectangle?
a)
5x4 + 10x3
b)
x + 15x3
c)
x + 3
d)
x4 + 3x3
5.
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
6.
Write a polynomial expression for the area of the triangle:
a)
18x2 - 54x
b)
9x2 + 9
c)
36x2 + 108x
d)
9x2 + 27x
7.
What is the perimeter of the triangle shown?
a)
9r2 + r - 5
b)
9r4 + r2 - 4
c)
9r2 - r + 4
d)
9r2 + r - 4
8.
A rectangle has an area of 2x2 – 19x +45 ft2. What are the dimensions of the rectangle?
a)
(2x - 9)(x - 5)
b)
(2x + 9)(x + 5)
c)
(2x - 5)(x - 9)
d)
(2x - 5)(x + 9)
9.
The area of a rectangular pool table is: x2 + 14x +40.
What are the dimensions of the table?
a)
(x + 8)(x + 5)
b)
(x + 20)(x - 2)
c)
(x + 4)(x + 10)
d)
(x +14)(x + 40)
10.
Find the perimeter of a rectangle with length (x-5) and width (3x+1).
a)
8x-8
b)
4x-4
c)
8x+8
d)
4x+12
11.
Multiply
x2(2x+3)
x2(2x+3)
a)
x2+2x+3
b)
2x+3
c)
2x2+3x
d)
2x3+3x2
12.
Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)
(3x²-3x+2)-(x²-2x+1)
a)
2x²+x+1
b)
2x²-5x+3
c)
2x²-x+1
d)
4x²-5x+3
13.
Simplify the expression.
x3(2x2+3x)
x3(2x2+3x)
a)
2x5+3x4
b)
2x6+3x3
c)
5x9
d)
5x
14.
Find the product:
(x + 12)(x - 12)
(x + 12)(x - 12)
a)
x2 - 144
b)
x2 + 144
c)
x2 + 12x - 144
d)
x2 - 12x + 144
15.
(3x − 6)(7x + 7)
a)
21x2 − 63x + 42
b)
21x2 − 21x − 42
c)
21x2 − 42
d)
21x2 + 63x + 42
16.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
17.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
18.
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
19.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
20.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
21.
Identify the y-intercept (initial value) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
22.
Identify the common ratio (multiplier) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
23.
Which of the equations below represent this table?
a)
y=3⋅(36)x
b)
y=36⋅(3)x
c)
y=3⋅(⅓)x
d)
y=36⋅(⅓)x
24.
You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?
a)
$344,022
b)
$31,500
c)
$15,000
d)
$28,500
25.
Which variable represents time passed in the function y=abx?
a)
y
b)
a
c)
b
d)
x
26.
Which variable represents time passed in the function y=abx?
a)
y
b)
a
c)
b
d)
x
27.
What is the definition of an ASYMPTOTE?
a)
A curved line.
b)
A line that only touches the origin.
c)
A line that only lives on the first quadrant.
d)
A line that a curve approaches, as it heads towards infinity.
28.
How many vertical asymptotes does the function y = (x+3)(x+2) / (x-2)(x+1) have?
a)
None
b)
1
c)
2
d)
cien
29.
Find the vertical asymptote(s) for y = (3) / (x+2).
a)
x = 2
b)
x = 3
c)
x = -2
d)
There are none
30.
Find the vertical asymptote(s).
a)
None
b)
x = 0
c)
x= 4
d)
x = -4, 4
31.
Where is the vertical asymptote?
a)
x=3
b)
DNE
c)
x=8
d)
y=3
32.
Determine whether the sequence is arithmetic, geometric, or neither.
a)
arithmetic
b)
geometric
c)
neither
33.
Determine whether the sequence is arithmetic, geometric, or neither.
a)
arithmetic
b)
geometric
c)
neither
34.
Determine whether the sequence is arithmetic, geometric, or neither.
a)
arithmetic
b)
geometric
c)
neither
35.
Find the common ratio for the geometric sequence.
a)
10
b)
1/2
c)
2
d)
4
36.
Write the explicit formula for the geometric sequence.
a)
an = 10(2)n-1
b)
an = 2(10)n-1
c)
an = 10(2)n
d)
an = 2(10)n
37.
Write the explicit formula for the geometric sequence.
a)
an = 4(3)n-1
b)
an = 3(4)n-1
c)
an = -4(3)n-1
d)
an = 3(-4)n-1
38.
Given the recursive formula, find the first four terms:
an = an-1⋅-3
a1 = 45
a)
45, -135, 405, -1215
b)
-45, -135, -405, -1215
c)
45, 135, 405, 1215
d)
45, 42, 39, 36
39.
Find the first four terms of the sequence given the rule:
a1 = 10: an = an-1(3)
a1 = 10: an = an-1(3)
a)
3, 9, 27, 81
b)
10, 30, 90, 270
c)
10, 13, 16, 19
d)
30, 90, 270, 810
40.
Find the domain.
a)
all values less than 1
b)
all real numbers
c)
all positive numbers
d)
all values less than 0
41.
What is the y-intercept?
a)
(0,0)
b)
(0,1)
c)
(-3,0)
d)
(0,-3)
42.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
43.
What is the range of this graph?
a)
y = 6
b)
(0, -4)
c)
y > -6
d)
y < -6
44.
The point (1,0) is:
a)
a zero
b)
the y-intercept
c)
the domain
d)
the range
45.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
46.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
A=10(1.01)3
a)
Growth
b)
Decay
47.
In the equation y=2(5)x , the a value (y-intercept) is...
a)
356
b)
5
c)
10
d)
2
48.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
49.
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
50.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
51.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
52.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
53.
2√5 + 4√5 =
a)
6√10
b)
8√10
c)
8√5
d)
6√5
54.
Simplify
2√27+3√3
2√27+3√3
a)
15√30
b)
5√3
c)
9√3
d)
9√8
55.
Simplify
3√2 - 3√18
3√2 - 3√18
a)
-4√8
b)
4√9-6√3
c)
5√12
d)
-6√2
56.
√18 - √12
a)
√6
b)
2√3
c)
√2
d)
√5
57.
Simplify:
a)
2√12
b)
4√12
c)
4√3
d)
16√3
58.
Simplify:
a)
A
b)
B
c)
C
d)
D
59.
Simplify: √(28xy²)
a)
2y√(7x)
b)
√(28xy²)
c)
y√(28x)
d)
7x√(2y)
60.
Simplify: √(90x7)
a)
9x3√10x
b)
9x3√10
c)
3x3√10
d)
3x3√10x
61.
Simplify: √121p5r7s4?
a)
11prs √pr
b)
11p4r6s2 √pr
c)
11p2r3s2 √pr
d)
s11p2r3s2
62.
(2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
63.
Simplify (-3x4y5)2
a)
9x8y10
b)
6x8y10
c)
-3x8y10
d)
-9x8y10
64.
1.) Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
65.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
66.
Simplify.
a)
A
b)
B
c)
C
d)
D
67.
Simplify.
a)
A
b)
B
c)
C
d)
D
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