WorksheetsAlgebra 2 Exam B Review
Total questions: 43
Worksheet time: 3hrs 54mins
Name
Class
Date
1.
Given
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f + g)(x).
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f + g)(x).
a)
11x2 - 1
b)
5x4 + 6x2 - 1
c)
5x2 + 6x - 1
d)
5x2 + 8x - 1
2.
If g(x) = 6x + 4 and
f(x) = 2x - 7
Find f(x) * g(x)
f(x) = 2x - 7
Find f(x) * g(x)
a)
8x - 3
b)
4x + 11
c)
12x2 - 28
d)
12x2 - 34x - 28
3.
f(x) = 3x + 10
g(x) = x - 2
Find (g o f)(x)
a)
3x + 8
b)
3x - 2
c)
3x + 4
d)
None of these.
4.
p(x) = 3x + 4
q(x) = 2x2
Find (q o p)(x)
a)
6x2 + 4
b)
18x2 + 48x + 32
c)
18x2 + 32
d)
None of these.
5.
What is the inverse of this function?
a)
A
b)
B
c)
C
d)
D
6.
What is the inverse of the points
(1,3)(2,4)(6,8)
(1,3)(2,4)(6,8)
a)
(3,1)(4,2)(8,6)
b)
(-3,-1)(-4,-2)(-8,-6)
c)
(1,3)(2,4)(6,8)
d)
(-1,-3)(-2,-4)(-6,-8)
7.
Write in exponential form
∛x⁷
∛x⁷
a)
x⁷∕ ³
b)
x3⁄7
c)
3x⁷
d)
7x³
8.
Which of the following is the graph of
a)
b)
c)
d)
9.
Simplify:
∜x5y24
a)
xy∛x
b)
xy6∜x
c)
xy6
10.
Solve
a)
8
b)
38
c)
34
d)
14
11.
Solve for x
a)
11
b)
5
c)
8
d)
7
12.
Multiply and Simplify
a)
4(x+3)/(x+2),
b)
(x+2)/4(x+1)
c)
(x+2)/4(x+3),
d)
4(x+1)/(x+2),
13.
Multiply and Simplify
a)
(n-10)/8n+56
b)
(n-10)(n+7)/8n+56
c)
(n-10)/8
d)
(n+10)/8
14.
Simplify.
a)
A
b)
B
c)
C
d)
D
15.
a)
A.
b)
B.
c)
C.
d)
D.
16.
Write in logarithmic form.
52 = 25
52 = 25
a)
log52 = 25
b)
log225 = 5
c)
log255 = 2
d)
log525 = 2
17.
Write in exponential form.
log232 = 5
log232 = 5
a)
2-5 = 32
b)
232 = 5
c)
25 = 32
d)
325 = 2
18.
a)
1.82
b)
3.17
c)
3.05
d)
1.63
19.
Solve for x.
log770=log7(10x-30)
log770=log7(10x-30)
a)
x=1
b)
x=2
c)
x=10
d)
x=-2
20.
a)
x=2
b)
x=29
c)
x=7
d)
x=32
21.
Solve for x:
5 e6x+3 = 0.1
5 e6x+3 = 0.1
a)
-1.152
b)
0.232
c)
-3.077
d)
-0.854
22.
Write the expression as a single logarithm. Then simplify if possible.
log53 + log56 + log59
log53 + log56 + log59
a)
log569
b)
log556
c)
log5162
d)
log598
23.
What type of function is this?
a)
Linear
b)
Quadratic
c)
Absolute Value
d)
Exponential
24.
What type of function is this?
a)
Linear
b)
Quadratic
c)
Absolute Value
d)
Exponential
25.
What is the name of the parent function and equation for the graph?
a)
Quadratic - y = x2
b)
Absolute Value - y = |x|
c)
Square Root - y = √x
d)
Cube Root - y = ∛x
26.
What is the name of the parent function and equation for the graph?
a)
Cube Root - y = ∛x
b)
Cubic - y = x3
c)
Exponential - y = 2x
d)
Rational/Inverse - y = 1/x
27.
Evaluate the arithmetic series described:
a1 = 12, an = 64, Find S14
a1 = 12, an = 64, Find S14
a)
1082
b)
532
c)
541
d)
1064
28.
Find Sn for the given series:
a1=22
d=-8
n=21
a1=22
d=-8
n=21
a)
1911
b)
-1449
c)
-2436
d)
-1218
29.
Find the sum for the following series.
a)
1.49
b)
3.14
c)
1.33
d)
1.66
30.
Evaluate the infinite series described:
a)
-16
b)
-18
c)
3
d)
-15
31.
Expand (x + 2)3
a)
x3 + 6x2 - 12x + 8
b)
x3 + 6x2 + 12x + 8
c)
x3 - 6x2 + 12x - 8
d)
x3 + 4x2 + 12x + 6
32.
a)
27.1
b)
74.8
c)
35.9
d)
56.3
33.
a)
12
b)
0.036
c)
8
d)
10
34.
What is 5π/6 radians in degrees?
a)
180
b)
150
c)
360
d)
120
35.
What is 150 degrees in radians?
a)
5π/6
b)
7π/6
c)
5π/4
d)
π/6
36.
Which equation?
a)
y= cos2x
b)
y= (1/2)cosx
c)
y= cos(1/2)x
d)
y= 2cosx
37.
Write the equation for a sine function with an amplitude of 6 and a period of π/4.
a)
y=6sin(8x)
b)
y=6sin8(x-1)
c)
y=6sin1/4x
d)
y=6sinx
38.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
39.
Find the probability of drawing a 10 from a standard deck of 52 cards.
a)
1 out of 52
b)
13 out of 52
c)
26 out of 52
d)
4 out of 52
40.
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)
P(white, then purple, then black)
a)
1/36
b)
2/39
c)
5/41
d)
6/43
41.
What data value is the upper quartile (Q3)?
a)
64
b)
62
c)
66
d)
58
42.
Which box and whisker plot has the highest median?
a)
Top plot
b)
Bottom plot
43.
33, 25, 42, 25, 31, 37, 46, 29, 38
What is the third quartile (UQ) of the data?
What is the third quartile (UQ) of the data?
a)
37
b)
38
c)
40
d)
46
100 %
