OMPT Practice Questions: Sample Problems and Solutions

Seeing a few worked examples is often more useful than reading another list of topics. Below are three sample problems in the style of an OMPT-style exam, each with a full step-by-step solution — the same format Exam.ify uses across its own practice tests.

Example 1 — Algebra Solve for x: 2(x − 3) + 4 = 3x − 5. *Solution:* Expand the left side: 2x − 6 + 4 = 3x − 5, which simplifies to 2x − 2 = 3x − 5. Rearranging gives 3 = x, so x = 3.

Example 2 — Exponents Simplify: (2^3 · 2^-1) / 2^2. *Solution:* Combine the exponents in the numerator: 2^(3−1) = 2^2. Dividing by 2^2 gives 2^(2−2) = 2^0 = 1.

Example 3 — Differentiation Find the derivative of f(x) = 3x² − 4x + 7. *Solution:* Apply the power rule term by term: f'(x) = 6x − 4.

Why worked solutions matter more than answer keys

A bare answer key tells you whether you got a question right — it doesn't tell you where your method went wrong if you didn't. Every Exam.ify practice test includes full worked solution steps, not just final answers, specifically so you can diagnose your own mistakes rather than just seeing that you missed a point. Our full-length practice tests contain dozens of questions built in this same style, covering the complete OMPT-style topic range. Exam.ify is an independent exam-prep provider and is not affiliated with the official OMPT test.