Basic Algebra Practice Test

Review the essential skills needed before moving into full Algebra 1 coursework.

Basic Algebra Practice Test

20 foundational algebra questions with instant explanations.

About This Basic Algebra Practice Test

This test reviews the core skills students need for pre-algebra and early Algebra 1. It includes numerical substitution, expression simplification, one-step and multi-step equations, inequalities, coordinate relationships, exponent rules, fractions, proportions, and elementary factoring.

The difficulty is introductory but not mechanical. Several questions test whether students understand why a procedure works, such as reversing an inequality after division by a negative number or distinguishing area from perimeter.

Foundational Algebra Skills

You will evaluate expressions, combine like terms, use the distributive property, solve equations and inequalities, test ordered pairs, calculate slope, write linear equations, apply exponent laws, reduce fractions, solve proportions, factor simple quadratics, and translate short statements into equations.

How to Approach the Questions

  1. Identify the operation currently attached to the variable.
  2. Undo operations in reverse order while keeping both sides balanced.
  3. Keep variable terms separate from constants and unlike variable parts.
  4. Substitute the answer back into the original equation or rule for a quick check.

Common Mistakes to Avoid

Typical errors include dropping negative signs, combining unlike terms, failing to distribute to every term, reversing an inequality without dividing by a negative, confusing slope with rise alone, and forgetting both roots of x²=a.

Practice Format

This free test can be used for placement review, homework preparation, tutoring, classroom warm-ups, or independent study. Immediate feedback is provided after every response.