MATH 120 College Algebra Practice Milestone 4- Eastern Gateway Community College

College Algebra
PRACTICE MILESTONE 4




Are you ready to take the Milestone 4?

Taking this practice test is a stress-free way to find out if you are ready for the Milestone 4 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

What is the product of 7x 3 ​and​ 2x 2 y 2 + 3xy ?

A. 14x 5 y 2 + 21x 3 y
B. 14x 5 y 2 + 21x 4 y
C. 14x 6 y 2 + 21x 4 y
D. 14x 6 y 2 + 21x 3 y




QUESTION 2

Perform the multiplication and combine like terms.


(x − 3)(x + 2)(4x − 5)

A. 4x 3 − 9x 2 − 19x + 30
B. 4x 3 − 15x 2 − x + 30
C. 4x 3 − 9x 2 + x − 30
D. 4x 3 − 15x 2 + 19x − 30




QUESTION 3

Factor the following expression.

8x 3 −4x 2 +12x
4x

A. 2x 2 + 4x + 12
B. 2x 2 − 3x − 4
C. 2x 2 − x + 3
D. 2x 2 − x + 6




© 2016 Sophia Learning, LLC

, College Algebra
PRACTICE MILESTONE 4



QUESTION 4

Write the following expression in factored form.


x 2 + 3x − 18

A. (x − 3)(x − 6)
B. (x − 2)(x + 9)
C. (x − 2)(x − 9)
D. (x − 3)(x + 6)



QUESTION 5

Write the following expression in factored form.

3x 2 + 5x + 2

A. (x − 2)(3x − 1)
B. (x + 1)(3x + 2)
C. (x + 2)(3x + 1)
D. (x − 1)(3x − 2)




QUESTION 6

Consider the quadratic equation x 2 − 2x − 8 = 0 .

Find the solutions by factoring.

A. x =− 4, x=2
B. x =− 1, x=8
C. x =− 8, x=1
D. x =− 2, x=4




© 2016 Sophia Learning, LLC

, College Algebra
PRACTICE MILESTONE 4



QUESTION 7

Match each expression with its expanded form.



1. (2x − 3)2 A. 4x2 + 12x + 9

2. (2x + 3)2 B. 4x2 + 9

3. (2x − 3)(2x + 3) C. 4x2 − 12x + 9

D. 4x2 − 9




QUESTION 8

Look at the quadratic equation 3x 2 + 4x − 15 = 0 .

Find the solutions by using the quadratic formula

A. x =− 5 and x = 3
5
B. x =− 3 and x= 3
C. x =− 3 and x = 5
D. x =− 53 and x = 3




QUESTION 9

Consider the quadratic inequality x 2 + x − 12 ≤ 0 .

What is the solution set?

A. −4≤x≤3
B. x ≤− 4 or x ≥ 3
C. x ≤− 3 or x ≥ 4
D. −3≤x≤4




© 2016 Sophia Learning, LLC

, College Algebra
PRACTICE MILESTONE 4




QUESTION 10

Examine the quadratic function y =− 2x 2 − 12x + 16

What geometric information does it tell us about its graph?

A. The vertex is (3,-38), and it opens upward.
B. The vertex is (3,-38), and it opens downward.
C. The vertex is (-3,34), and it opens downward.
D. The vertex is (-3,34), and it opens upward.




QUESTION 11

Consider the quadratic function​ y = 2x 2 − 4x + 8 .

Rewrite the function in vertex format.

A. y = 2(x − 1) 2 − 6
B. y = 2(x + 1) 2 + 6
C. y = 2(x + 1) 2 − 6
D. y = 2(x − 1) 2 + 6




© 2016 Sophia Learning, LLC