WorksheetsAlgebra 2 Final Exam Review
Total questions: 53
Worksheet time: 4hrs 0mins
Name
Class
Date
1.
Simplify
a)
A
b)
B
c)
C
d)
D
2.
Simplify
a)
A
b)
B
c)
C
d)
D
3.
Add
a)
A
b)
B
c)
C
d)
D
4.
Subtract
a)
A
b)
B
c)
C
d)
D
5.
Solve
a)
No Solution
b)
x = 1
c)
x = −2
d)
x = 2
6.
Add
a)
A
b)
B
c)
C
d)
D
7.
what is the period of y=cos(3x-π)-5
a)
π/3
b)
π/6
c)
2π/3
d)
2π/6
8.
Which function below matches this graph?
a)
3+sin(x)
b)
3sin(x)
c)
sin3(x)
d)
sin(x-3)
9.
Which function below matches this graph?
a)
-cos3(x)
b)
-3cos(x)
c)
cos(x)-3
d)
cos(x+3)
10.
What is the period for y = 4cos(1/2x +π) - 2?
a)
π/2
b)
π
c)
3π
d)
4π
11.
What is the equation of the graph?
a)
y = -2 cos x - 3
b)
y = 3 cos x - 2
c)
y = -7 cos x - 3
d)
y = -3 cos x - 4
12.
A trig function has an amplitude of 4 and a minimum value of 5. What is its maximum value?
a)
7
b)
9
c)
11
d)
13
13.
Which of the following statements is accurate concerning the following function f(x) = 5 + 3 sin(x – π/4)?
a)
The vertical shift is 3 units.
b)
The phase shift is π/4.
c)
The amplitude is 6.
d)
The period is π.
14.
Find the vertical asymptote:
R(x)= 6x2+x+12 / 3x2-5x-2
R(x)= 6x2+x+12 / 3x2-5x-2
a)
x=2, x=-1/3
b)
x=-2, x=1/3
c)
y=2
d)
none
15.
Which of the following functions does NOT have a vertical asymptote?
a)
(x+3) ∕(x²-5)
b)
x ∕ (x-3)²
c)
(x²-4) ∕ (x+2)
d)
-2 ∕ x
16.
a)
y=3 ∕(x-2)
b)
y=3 ∕(x-2) -4
c)
y=3⁄(x+2) -4
d)
y=3⁄(x+4) -2
17.
a)
1
b)
3
c)
2
d)
4
18.
a)
1
b)
3
c)
2
d)
4
19.
a)
1
b)
3
c)
2
d)
4
20.
cos(7π/6)
a)
-√2/2
b)
1/2
c)
√3/2
d)
-√3/2
21.
cos(5π/3)
a)
-√2/2
b)
-1/2
c)
1/2
d)
√3/2
22.
Convert 200° to radians
a)
3π/4
b)
8π/45
c)
7π/8
d)
10π/9
23.
What is the degree measure of an arc whose measure is 7π/12?
a)
105°
b)
115°
c)
225°
d)
145°
24.
(2x3 + 7x2 - 6x - 8) ÷
(x + 4)
(x + 4)
a)
2x2 - x - 2
b)
2x3 - x2 - 2x
c)
2x2 + 15x + 54 + 208/x+4
d)
2x3 + 15x2 + 54x + 208
25.
(4x2 - 24x + 35) ÷ (2x - 5)
a)
2x - 7
b)
2x - 12
c)
2x + 12
d)
2x + 7
26.
The left end behavior of the graph of f(x) = - x4 + 2x + 1 approaches
a)
+∞
b)
- ∞
c)
0
d)
DNE
27.
Factor f(x)= x3 - 2x2-13x - 10 given that (x - 5) is one factor.
a)
(x- 5)(x - 1)(x - 2)
b)
(x - 5)(x + 2)(x - 2)
c)
(x - 5)(x + 2) (x + 1)
d)
(x - 5)(2x - 13)
28.
If 3 and 2 +√3 are roots of a cubic polynomial, what is the equation of this polynomial?
a)
f(x)= 2x3 - 7x2 +10x - 3
b)
f(x)= x3 - 7x2 +13x - 3
c)
f(x)= x3 +7x2 +13x + 3
d)
f(x)= 2x3 - 7x2 +13x + 3
29.
Factor: 8x3 - 1
a)
(2x - 1)(4x2 + 2x + 1)
b)
(2x + 1)(4x2 - 2x + 1)
c)
(2x - 1)(4x2 - 2x - 1)
d)
(2x + 1)(4x2 +2x + 1)
30.
What are the solutions?
a)
x = 0, 2, 4
b)
x = 0, -2, -4, 4
c)
x = 0, 2, -2, 4
d)
x = 2, -2, 4
31.
How many solutions does the polynomial have?
a)
2
b)
3
c)
4
d)
5
32.
Name the double roots.
a)
x = {-1, 0, 2}
b)
x = {1, 0, 2}
c)
x = {-1, 2}
d)
x = {0}
33.
What does a zero that has an even multiplicity mean?
a)
The graph crosses x-axis
b)
The graph is symmetric along y-axis
c)
The graph touches x-axis
d)
The graph is reflected about the origin
34.
Can a polynomial have more than one y-intercept?
a)
Yes
b)
No
c)
Only if its degree is even
d)
Only if its degree is odd
35.
Which graph?
a)
a
b)
b
c)
c
d)
d
36.
a)
A
b)
B
c)
C
d)
D
37.
Write the equation for a polynomial function that has zeroes at x=1, 2, and 3.
a)
x3 - 6x2 + 11x - 6
b)
x3 - 11x2 - 6x - 6
c)
x3 - 6x2 - 6x - 6
d)
x3 - 11x2 - 7x - 12
38.
Evaluate the arithmetic series described:
2 + (-2) + (-6) + (-10)..., S10
2 + (-2) + (-6) + (-10)..., S10
a)
-160
b)
-328
c)
-320
d)
-336
39.
Determine the sum of the series written in Sigma Notation.
a)
5400
b)
2692
c)
2700
d)
2704
40.
Determine the sum of the series written in Sigma Notation.
a)
-341
b)
-279
c)
-250
d)
-431
41.
Find S14
7, 2, -3, ...
7, 2, -3, ...
a)
-812
b)
119
c)
-945
d)
-357
42.
Find the rule for this geometric sequence:
r = 3 a3 = -12
r = 3 a3 = -12
a)
an = (-4/3) (3)n
b)
an = -4 (3)n-1
c)
an = (-3/4) (3) n-1
d)
an = (-4/9)(3)n
43.
Evaluate the series.
a)
36
b)
85
c)
35
d)
86
44.
Determine the sum of the series written in Sigma Notation.
a)
-341
b)
-279
c)
-250
d)
-431
45.
What is the conjugate of -2+5i?
a)
-5+2i
b)
-2-5i
c)
2+5i
d)
5-2i
46.
a)
A. -11 + 2i
b)
B. 13 - 10i
c)
C. 13 + 2i
d)
D. 1 + 8i
47.
a)
A. -8i
b)
B. -9i
c)
C. i + 10
d)
D. -9
48.
2x2 – 6x + 5 = 0
a)
x=3/2±i/2
b)
x=3 ± i/2
c)
x=3/2 ± i
d)
x=3±i
49.
log2(x + 5) = 3
a)
3
b)
4
c)
5
d)
6
50.
Expand
a)
6log4u - 36log4v
b)
log4u - 6log4v
c)
6log4u + 36log4v
d)
6log4u / 36log4v
51.
Condense
a)
4log3x-4log3y
b)
log3(x4/y4)
c)
log3(x4y4)
d)
log3(x4) - log3(y4)
52.
Solve the equation.
a)
A
b)
B
c)
C
d)
D
53.
log34x = 2
a)
x=4/9
x=4/9
x=4/9
b)
x=9/4
c)
x=3/2
d)
x=2/3
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