Algebra 2 Exam Review questions
with complete solutions
A student is given that point P(a, b) lies on the terminal ray of angle , which is between radians
and 2 radians. The student uses the steps below to find cos theta.
Which of the following explains whether the student is correct?
The student made an error in step 3 because a is positive in Quadrant IV; therefore, .
The student made an error in step 3 because .
The student made an error in step 2 because r is negative in Quadrant IV; therefore, .
The student made an error in step 2 because using the Pythagorean theorem gives - correct
answer ✔✔A
A savings account pays 2% interest compounded annually. If $1,200 is deposited initially and
again at the first of each year, how much money will be in the account three years after the
initial deposit?
$1,248.48
$2,472.48
$3,672.48
$3,745.93 - correct answer ✔✔D
What are the domain and range of ?
domain: x > 1; range: y > 2
domain: x > 1; range: all real numbers
domain: all real numbers; range: y > 1
domain: all real numbers; range: all real numbers - correct answer ✔✔B
, Ashley is a member of the Movie-a-Month Club, where she rents movies each month. She uses
the table below to keep track of the number of movies she rents each month and the total cost,
which includes her monthly membership fee.
Ashley graphed the relationship in the table. What is the slope of the graph, and what does it
represent?
The slope of the graph is 2.50, and it represents the cost of each movie.
The slope of the graph is 2.50, and it represents the amount of the membership fee.
The slope of the graph is 5, and it represents the cost of each movie.
The slope of the graph is 5, and it represents the cost of the membership fee. - correct answer
✔✔A
Opal is collecting data on water levels in different parts of town. She notices that her sample
data has a low-value outlier. Which statement must be true?
Removing the outlier will not change the spread of the graph of the data set.
Removing the outlier will not change the variance of the data set.
Removing the outlier will increase the variance of the data set.
Removing the outlier will decrease the spread of the graph of the data set. - correct answer
✔✔D
Miguel Cabrera has had 369 at bats, and he has 127 hits and 21 home runs. (Note: The home
runs are included in the hits data.) If he is challenged to a batting battle, what is the expected
score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each
home run?
0.36
0.43
0.57
0.63 - correct answer ✔✔C
with complete solutions
A student is given that point P(a, b) lies on the terminal ray of angle , which is between radians
and 2 radians. The student uses the steps below to find cos theta.
Which of the following explains whether the student is correct?
The student made an error in step 3 because a is positive in Quadrant IV; therefore, .
The student made an error in step 3 because .
The student made an error in step 2 because r is negative in Quadrant IV; therefore, .
The student made an error in step 2 because using the Pythagorean theorem gives - correct
answer ✔✔A
A savings account pays 2% interest compounded annually. If $1,200 is deposited initially and
again at the first of each year, how much money will be in the account three years after the
initial deposit?
$1,248.48
$2,472.48
$3,672.48
$3,745.93 - correct answer ✔✔D
What are the domain and range of ?
domain: x > 1; range: y > 2
domain: x > 1; range: all real numbers
domain: all real numbers; range: y > 1
domain: all real numbers; range: all real numbers - correct answer ✔✔B
, Ashley is a member of the Movie-a-Month Club, where she rents movies each month. She uses
the table below to keep track of the number of movies she rents each month and the total cost,
which includes her monthly membership fee.
Ashley graphed the relationship in the table. What is the slope of the graph, and what does it
represent?
The slope of the graph is 2.50, and it represents the cost of each movie.
The slope of the graph is 2.50, and it represents the amount of the membership fee.
The slope of the graph is 5, and it represents the cost of each movie.
The slope of the graph is 5, and it represents the cost of the membership fee. - correct answer
✔✔A
Opal is collecting data on water levels in different parts of town. She notices that her sample
data has a low-value outlier. Which statement must be true?
Removing the outlier will not change the spread of the graph of the data set.
Removing the outlier will not change the variance of the data set.
Removing the outlier will increase the variance of the data set.
Removing the outlier will decrease the spread of the graph of the data set. - correct answer
✔✔D
Miguel Cabrera has had 369 at bats, and he has 127 hits and 21 home runs. (Note: The home
runs are included in the hits data.) If he is challenged to a batting battle, what is the expected
score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each
home run?
0.36
0.43
0.57
0.63 - correct answer ✔✔C
