College Math Placement Test College Math Placement Algebra 3

Question 1

Solve the system: x + y = 7 and x − y = 3

Accepted Answer

x=5, y=2

Answer

Adding the equations: 2x=10 → x=5; substituting back: y=7−5=2.

Question 2

Which equation represents a line parallel to y = 3x − 4?

Accepted Answer

y = 3x + 7

Answer

Parallel lines have the same slope; only y=3x+7 has slope 3.

Question 3

Simplify: (x² − 4)/(x − 2)

Accepted Answer

x + 2

Answer

x²−4=(x−2)(x+2); dividing by (x−2) cancels to give x+2, for x≠2.

Question 4

If 3^(2x) = 81, what is x?

Accepted Answer

2

Answer

81=3⁴, so 3^(2x)=3⁴ means 2x=4, giving x=2.

Question 5

A store sells pencils for $0.25 each. If you spend $3.75, how many pencils did you buy?

Accepted Answer

15

Answer

3.75 ÷ 0.25 = 15 pencils.

College Math Placement Test Practice Test