Algebra Review Test

Review essential Algebra 1 and Algebra 2 skills in one balanced 20-question test.

Algebra Review Test

20 mixed algebra questions with instant feedback and worked explanations.

About This Algebra Review Test

This free 20-question Algebra Review Test is designed as a compact diagnostic rather than a single-topic drill. It moves across the major skills students use in Algebra 1 and early Algebra 2, including symbolic manipulation, solving, factoring, functions, and short applications.

The questions are deliberately varied. A student may simplify an expression, solve an inequality, factor a polynomial, interpret a function, and build a model within the same attempt. This makes the final score more useful for identifying which areas deserve additional practice.

Skills Included in the Review

The test covers combining like terms, distribution, linear equations and inequalities, absolute value, polynomial factorization, quadratic roots and discriminants, systems of equations, exponent laws, rational expressions, radicals, functions, arithmetic sequences, lines, and area models.

How to Approach the Questions

  1. Classify the problem before selecting a procedure.
  2. Keep equivalent operations balanced on both sides of an equation or inequality.
  3. Check signs, restrictions, and exponent rules before comparing answer choices.
  4. Substitute a result back into the original problem whenever a quick check is possible.

Common Mistakes to Avoid

Common errors include mixing unlike terms, forgetting to reverse an inequality after division by a negative number, losing a solution branch in an absolute value equation, canceling terms instead of factors, and applying a familiar rule to the wrong expression type.

Practice Format

Use the test for cumulative review, placement preparation, classroom assessment, or independent study. Every question gives immediate feedback, and the test can be repeated without registration.