Algebra 2 Multiple Choice Review
1. Solve for x:
a)
Name_____________________________
2. Solve for x:
a) x   5mb
b)
 5m 

 b 
2
b) x  
c)
d)
 b 
c) x  

 5m 
d) x  
2
5m
b
3. A researcher wants to determine if people who finish college in 4 years earn more money for their first job than
people who take more than 4 years to complete college. The researcher follows 500 students who graduated in 4
years and another 500 students who graduated in more than 4 years and records their annual salary in their first
job. The researcher finds that there is no difference in annual salary between the two groups.
This is an example of which of the following?
a) Experiment
b) Convenience Sample
c) Observational Study
d) Simple Random Sample
4. The number of points scored by a professional basketball team are normally distributed, with a mean of 54 and
a standard deviation of 6.
What percent of points scored are:



Between 42 and 66?
Less than 48?
More than 66?
5. A study is conducted to determine which of two test preparation programs is most effective in getting students
ready for the ACT exam. If the test preparation programs were given to high school juniors, which of the following
statements is true?
a)
b)
c)
d)
The results cannot be considered valid unless confirmed by a second study.
The program that is found to work the best will also be the best in preparing students for the SAT exam.
The program that is found to work the best will only help juniors prepare for the ACT exam.
The study will be able to produce results that describe the effect of the program on preparing for the ACT exam.
6)
State the domain and range of the graph of
y=
a)
b)
c)
d)
D: x < 2; R: All Real Numbers
D: x ≥ 3; R: All Real Numbers
D: All Real Numbers; R: y > -1
D: All Real Numbers; R: y < 2
8) State the domain and range of the graph
y  log( x  1)
a)
b)
c)
d)
9) Simplify. (2 – 3i) – (-4 + 6i)
a)
b)
c)
d)
11)
x > 1; R: All Real Numbers
x ≥ 1; R: All Real Numbers
All Real Numbers; R: y < 1
All Real Numbers; R: y > 1
10) Simplify. (1 – 2i)(-3 + 2i)
6 + 3i
-2 + 3i
6 – 9i
6 + 3i
Solve for x: x2 + 6x = 38
a)
b)
c)
d)
D:
D:
D:
D:
-3 ± 2
-3 ± i
-6 ± 2
-3 ±
a)
b)
c)
d)
1 + 8i
-3 + 4i
-7 + 8i
1 – 4i
12) Solve for x.
a)
b)
c) -1 and -5
d)
13) Given: f ( x)  3 x  5 and g ( x)  2 x  4 , evaluate the expression ( g o f )(x) or g ( f ( x)) .
a) 6x – 7
b) 5x + 1
c) 6x2 – 2x – 20
d) 6x + 6
14) Given: f ( x)  x 2  5 and g ( x)  x  2 , evaluate the expression f ( g ( x)).
a) x2 + 4x + 9
b) x2 + 9
c) x2 + 7
c) x2 + x + 7
15) Given: f ( x)  4 x 2 and g ( x)  6 x  5 , evaluate the expression f (5)  g (2)
a) -93
b) -10
c) 107
d) -19
16) Between which two numbers is log4 95?
a)
b)
c)
d)
1 and 2
2 and 3
3 and 4
4 and 5
17) Expand the logarithm.
a)
b)
c)
d)
18) Which expression is equal to: log5 x + 4∙log5 y – 2∙log5 z
15 log xy
3 log x + 5log y
3 log x ∙ 5 log y
log 3x + log 5y
a) log5 (-8xyz)
b) -log5
c) log5
d) log5
20) Solve for x. 106x = 42
19) Solve for t.
a)
c)
4
b)
a) 7
b) 0.1
d)
c) 0.62
d) 0.27
21) On which interval is the function decreasing?
a) (-2, 1)
b) (-1, 2)
c) (1, 3)
d) (2.5, 4)
log
22) Which translations shift y  sin x to y  sin( x   )  4
a) left π units, up 4 units
b) right 4 units, down π units
c) right π units, up 4 units
d) right π units, down 4 units
23) Which translations shift y  cos x to y  cos( x  2 )
a) left

2
b) right

2
c) up

2
d) down

2
A biology class did a survey of an open field for the number of visible insects per square foot of ground. The results
were normally distributed. The mean was 28 insects and the standard deviation was 5.
24a) What values are 1 standard deviation from the mean?
a) 33 insects
b) 23 and 33 insects
c) 23 insects
d) 18 and 38 insects.
24b) What percent of scores are less than 33?
a) 50%
b) 97.5%
c) 16%
d) 84%
25) A set of data is normally distributed with a mean of 44 and a standard deviation of 3.2. Which statements are NOT
true?
A) I and II only
I. 68% of the values are between 37.6 and 50.4
B) I and III only
II. 13.5% of the values are less than 40.8
C) II and III only
III. 5% of the values are lower than 37.6 or higher than 50.4
D) I, II and III
26) The given graph has a function of y  x 2  4 x  1 .
Find the average rate of change over the interval (-4, -2).
a) 2
b) -2
c) 1
d)
1
2
27) The given graph has a function of h  16t 2  64t .
Find the average rate of change over the interval (2, 4).
a) -64
1
b) - 32
c) -2
d) -32