College Math Placement Test College Math Placement Algebra 2

Question 1

Simplify: (3x²y)(4xy³)

Accepted Answer

12x³y⁴

Answer

Multiply coefficients (3×4=12) and add exponents for like bases: x^(2+1)=x³, y^(1+3)=y⁴.

Question 2

Solve for x: 2(x - 3) = 4x + 6

Accepted Answer

x = -6

Answer

Distribute to get 2x−6=4x+6, then −12=2x, so x=−6.

Question 3

Which of the following is a factor of x² − 9?

Accepted Answer

(x − 3)(x + 3)

Answer

x²−9 is a difference of squares: a²−b²=(a−b)(a+b), so x²−9=(x−3)(x+3).

Question 4

If f(x) = 3x² − 2x + 1, what is f(−1)?

Accepted Answer

6

Answer

f(−1)=3(1)−2(−1)+1=3+2+1=6.

Question 5

Solve: |2x − 5| = 9

Accepted Answer

x = 7 or x = −2

Answer

Set 2x−5=9 → x=7, and 2x−5=−9 → x=−2; both solutions are valid.

College Math Placement Test Practice Test