College Math Placement Test Elementary Algebra 5

Question 1

What is the solution set of x² − 5x + 6 = 0?

Accepted Answer

{2, 3}

Answer

Factor as (x−2)(x−3) = 0, giving x = 2 or x = 3.

Question 2

Maria earns $12 per hour and $18 per hour for overtime (over 40 hours). If she worked 46 hours, what were her total earnings?

Accepted Answer

$588

Answer

Regular: 40 × $12 = $480; overtime: 6 × $18 = $108; total = $588.

Question 3

Which inequality is represented by the graph of a shaded region to the LEFT of x = −2 on a number line with an open circle at −2?

Accepted Answer

x < −2

Answer

An open circle means the endpoint is excluded, and shading to the left means values less than −2: x < −2.

Question 4

Simplify the expression: (4a²b)(−2ab³)

Accepted Answer

−8a³b⁴

Answer

Multiply coefficients: 4·(−2) = −8; add exponents: a²⁺¹ = a³, b¹⁺³ = b⁴; result is −8a³b⁴.

Question 5

If 5 less than three times a number equals 22, what is the number?

Accepted Answer

9

Answer

3n − 5 = 22; 3n = 27; n = 9.

College Math Placement Test Practice Test