Test your knowledge and sharpen your problem-solving skills with this Algebra Practice Test. Designed for students and exam takers preparing for entrance or qualifying tests such as the PMAEE, PNPCAT, or college admissions exams, this reviewer covers essential algebraic concepts that form the foundation of higher mathematics.
Whether you’re reviewing for an upcoming test or simply refreshing your math skills, this free online quiz will challenge your understanding of algebraic operations, equations, and expressions.
Click the START QUIZ button below to begin. Read each question carefully and choose the best answer among the given choices. After answering, click “Continue” to proceed to the next set of questions.
Correct answers will be shown for your reference, allowing you to review and improve your understanding of each topic.
Topics Covered
This practice test includes questions from key areas of introductory and intermediate algebra, such as:
- Fundamental operations on algebraic expressions
- Simplifying and factoring polynomials
- Linear equations and inequalities
- Quadratic equations and functions
- Exponents, radicals, and rational expressions
- Word problems and problem-solving applications
- Ratio, proportion, and variation
- Basic graph interpretation and slope
Each question is presented in multiple-choice format to simulate the actual testing experience.
Tips for Solving Algebra Questions
- Understand the problem before solving. Identify what is being asked and what information is given.
- Simplify expressions step by step. Avoid skipping steps to minimize errors.
- Review your basic operations with integers, fractions, and decimals — many algebra mistakes come from simple arithmetic errors.
- Memorize key formulas, such as the quadratic formula, factoring patterns, and slope formulas.
- Check your final answer by substituting it back into the original equation whenever possible.
Final Reminder for Actual Exams
In official exams, algebra questions often appear in increasing difficulty — from basic operations to multi-step problem-solving. Focus on accuracy and logical reasoning, not just speed. Remember that even complex problems can be solved by breaking them into smaller, manageable parts.
Keep practicing to strengthen your confidence and consistency. Algebra is not just about numbers — it’s about thinking critically and applying logic to find solutions.