College Algebra
PRACTICE MILESTONE 2
Are you ready to take the Milestone 2?
Taking this practice test is a stress-free way to find out if you are ready for the Milestone 2 assessment. You can print it
out and test yourself to discover your strengths and weaknesses. The answer key is at the end of this Practice Milestone.
QUESTION 1
Which of the following is equivalent to 4√7 + √28 + 2√63 ?
A. 12√7
B. 24√7
C. 14√7
D. 26√7
QUESTION 2
Use the FOIL method to evaluate the expression.
(√3 − 7) (8 + √3)
A. 59 + 15√3
B. 56 + 16√3
C. − 53 + √3
D. − 56 + 4√3
QUESTION 3
Rationalize the denominator and simplify the following expression:
1+3√2
√2−1
A. 5√2 + 4
B. 4√2 + 6
C. 7√2 + 1
D. 4√2 + 7
© 2016 Sophia Learning, LLC
, College Algebra
PRACTICE MILESTONE 2
QUESTION 4
Simplify the following expression.
− 3a + 4b − 2 + 5(2 − 4b + 2a)
A. 7a − 3b − 10
B. 7a − 16b + 8
C. 8a − b − 13
D. 2a − 3b − 4
QUESTION 5
Simplify the following expression using distribution.
− 3x + 4(3 + x)
A. − 4x + 2
B. −x−1
C. x + 12
D. − 9x + 3
QUESTION 6
For the equation 8 + x = 24 , what is the value of x ?
A. 3
B. 16
C. 32
D. 8
© 2016 Sophia Learning, LLC
, College Algebra
PRACTICE MILESTONE 2
QUESTION 7
The temperature of the middle of the cake after it has been baking for 20 minutes, given by x, is related to the temperature
of the oven by the following equation:
y =− 25 + 2.3x
Estimate the temperature of the middle of the cake if the temperature of the oven is 400 degrees. Answer choices
are rounded to the nearest whole number.
A. 243 degrees
B. 163 degrees
C. 320 degrees
D. 185 degrees
QUESTION 8
The spread of a disease can be modeled as N = 250√t where N is the number of infected people, and t is time (in days).
How long will it take until the number of infected people reaches 2,500?
A. 10 days
B. 100 days
C. 16 days
D. 4 days
QUESTION 9
Suppose 4y + 9 = 25 and y =− x + 2 .
Which of the following equations is equivalent to 4y + 9 = 25 , but written in terms of x ?
A. − 4x + 8 = 16
B. − 4x + 8 = 25
C. − 4x + 8 = 34
D. 4x + 9 = 25
© 2016 Sophia Learning, LLC
PRACTICE MILESTONE 2
Are you ready to take the Milestone 2?
Taking this practice test is a stress-free way to find out if you are ready for the Milestone 2 assessment. You can print it
out and test yourself to discover your strengths and weaknesses. The answer key is at the end of this Practice Milestone.
QUESTION 1
Which of the following is equivalent to 4√7 + √28 + 2√63 ?
A. 12√7
B. 24√7
C. 14√7
D. 26√7
QUESTION 2
Use the FOIL method to evaluate the expression.
(√3 − 7) (8 + √3)
A. 59 + 15√3
B. 56 + 16√3
C. − 53 + √3
D. − 56 + 4√3
QUESTION 3
Rationalize the denominator and simplify the following expression:
1+3√2
√2−1
A. 5√2 + 4
B. 4√2 + 6
C. 7√2 + 1
D. 4√2 + 7
© 2016 Sophia Learning, LLC
, College Algebra
PRACTICE MILESTONE 2
QUESTION 4
Simplify the following expression.
− 3a + 4b − 2 + 5(2 − 4b + 2a)
A. 7a − 3b − 10
B. 7a − 16b + 8
C. 8a − b − 13
D. 2a − 3b − 4
QUESTION 5
Simplify the following expression using distribution.
− 3x + 4(3 + x)
A. − 4x + 2
B. −x−1
C. x + 12
D. − 9x + 3
QUESTION 6
For the equation 8 + x = 24 , what is the value of x ?
A. 3
B. 16
C. 32
D. 8
© 2016 Sophia Learning, LLC
, College Algebra
PRACTICE MILESTONE 2
QUESTION 7
The temperature of the middle of the cake after it has been baking for 20 minutes, given by x, is related to the temperature
of the oven by the following equation:
y =− 25 + 2.3x
Estimate the temperature of the middle of the cake if the temperature of the oven is 400 degrees. Answer choices
are rounded to the nearest whole number.
A. 243 degrees
B. 163 degrees
C. 320 degrees
D. 185 degrees
QUESTION 8
The spread of a disease can be modeled as N = 250√t where N is the number of infected people, and t is time (in days).
How long will it take until the number of infected people reaches 2,500?
A. 10 days
B. 100 days
C. 16 days
D. 4 days
QUESTION 9
Suppose 4y + 9 = 25 and y =− x + 2 .
Which of the following equations is equivalent to 4y + 9 = 25 , but written in terms of x ?
A. − 4x + 8 = 16
B. − 4x + 8 = 25
C. − 4x + 8 = 34
D. 4x + 9 = 25
© 2016 Sophia Learning, LLC
