ALGEBRA II CC
FALL SEMESTER MIDTERM REVIEW
NAME:
DATE:
1. Find the mean, median, and mode of the data set: {3, 3, 3, 11, 12}
PERIOD:
1. Mean:
________
Median: ________
Mode:
________
2. The probability distribution of the number of puppies per litter at
2. __________________
the pound. What is the expected number of piglets per litter on this farm?
Puppy Births per Litter
n puppies
Probability
of n puppies
6
7
8
0.45
0.3
0.15
3. Find the interquartile range (IQR) for the following data set:
3. __________________
{1, 3, 2, 8, 2, 3, 9, 3, 8, 39}
4. A fisherman wants to perform a check of the mercury levels of the
fish she caught this week; 492 fish were caught this week.
She randomly chose 51 fish to check for their mercury levels.
State the sample and the population.
4. Sample:
________
5. In a survey of 35 teachers, 9 said that they planned on taking on a
different job in the next 5 years. The school has 190 teachers.
Predict the number of teachers who plan on taking a different job
in the next five years. Round to the nearest teacher.
5. __________________
Population: ________
Find the z-score and explain whether or not there is enough evidence to disprove
the null hypothesis.
6.   100, x  110,   15, and n  49.
7.   10, x  12,   5, and n  16.
z-test = _________
z-test = _________
Can the null hypothesis be rejected?
Can the null hypothesis be rejected?
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
Select the best answer.
8. ________
8. If   50, x  60,   1, and n  25, what is z?
A. 1
B. 25
C. 50
D. 60
9. ________
9. If   120, z  4,   12, and n  9, what is x ?
A. 136
B. 104
C. 81
D. 3
10. ________
10. If z  1, x  19,   15, and n  25, what is µ?
A. 16
B. 22
C. 25
D. 40
11. A company claims that each of his representatives makes 50 calls
a week. A random sample of 150 reps revealed that the 70% of the
calls were answered in a week. Find the margin of error and the
interval of the mean phone calls made by the representatives.
11. ME:
12. A study was conducted to estimate the mean amount spent on
birthday gifts for a typical family having two children. A sample of
120 was taken, and 52% of families spend more than $30 on a birthday
gift. Find the margin of error and the interval of the mean of the
amount of money spent on a birthday gift.
12. ME:
Interval:
Interval:
________
________
________
________
13. Match the following Definitions
_____Simple Random Sample
_____Systematic Sample
_____Stratified Sample
_____Cluster Sample
_____Convenience sample
_____Self – Selected Sample
A. Members volunteer to participate
B. Members are chosen using a pattern, such as selecting every other person
C. The population is first divided into groups. A sample of the group is randomly chosen.
All members of the chosen groups are surveyed.
D. Members are chosen using a method that give everyone and equally likely chance of being selected
E. The population is first divided into groups. Then members are randomly chosen from each group
F. Members are chosen because they are easily accessible
14. A normal distribution has a mean of 96 and a standard deviation of 7.2. 14. __________________
What value can be found one standard deviation below the mean?
15. What area is between 1 standard deviation above and 3 standard
deviations below the mean?
15. __________________
For questions 16-18, a normal distribution has a mean of 15 and a standard deviation of 3.5. Find each
indicated probability.


16. __________________


17. __________________
16. P x  22
17. P x  10

18. P 7  x  20

18. __________________
Find the product:
_____ 19.
 5 x  5  7 x 2  6 x  7 
A) 28 x3  13x 2  20 x  4
C) 30 x 3  68 x 2  10 x  28
_____ 20.
8v  8  6v 2  8v  2 
A) 48v 3  112v 2  48v  16
C) v3  5v 2  11v  15
Simplify:
_____ 21.
B) 35 x 3  5 x 2  65 x  35
D) 49 x 3  32  92 x
3  b
2
A) 2b3  2b 2  7
C) 6b3  5b 2  5
Expand completely:
B) 16v 3  2v 2  37v  15
D) 3v 3  12v 2  4v  16
 3b3    4b 2  3b3  8 
B) 2b3  5b 2  5
D) 2b3  2b 2  5
_____ 22.
 u  4v 
4
A) u 4  16u 3v  96u 2 v 2  256uv3  256v 4
C) 5u 4  40u 3v  160u 2v 2  320uv3  256v 4
B) u 4  4u 3v  16u 2 v 2  64uv 3  256v 4
D) 6u 4  60u 3v  320u 2 v 2  960uv3  1536v 4
Name each polynomial by degree and number of terms:
_____ 23. 9  3p3  p5
A) constant binomial
C) cubic trinomial
B) quantic trinomial
D) quantic monomial
For questions 24-25: the spinner shown is spun 10 times.
24. What is the probability that the spinner will land on 1(one)
exactly 5 times?
24. __________________
25. What is the probability that the spinner will land on 2(two)
25. __________________
at least 3 times?
26. Use the Binomial Theorem to expand (m-2n)3.
27. Is the following a binomial experiment? Why or Why not?
Asking the age of 150 people ______________________________________________
Divide using long division.
28.
y
29.
2b
4
 
 9y 2  20  y 2  4
3


 24b 2  78b  66  2b  8
28. __________________
29. __________________
Divide using synthetic division.
30.
3p
3
 22p 2  44 p  21   p  4 

30. __________________
31.
8x
3
 23x 2  18x  13   x  2

31. __________________
State if the given binomial is a factor of the given polynomial and why.
32.
n
3

 14n 2  56n  70  n  8