High School Algebra Practice Test

Review essential Algebra 1 and Algebra 2 skills through a balanced set of equations, functions, graphs, factoring, and applications.

High School Algebra Practice Test

20 mixed high-school algebra questions with instant explanations and a final score.

About This High School Algebra Practice Test

This mixed test is designed for broad review rather than a single chapter, making it useful for diagnostics, semester preparation, and independent practice.

Questions cover simplifying and evaluating expressions, linear equations and inequalities, systems, slope, line equations, functions, factoring, quadratics, exponents, radicals, rational expressions, sequences, percentages, variation, absolute value, and vertices.

Skills Covered

You will manipulate expressions, solve linear and quadratic problems, interpret functions and lines, simplify powers and radicals, model applications, and connect equations to graphs.

How to Approach the Questions

  1. Identify the topic and choose the shortest reliable method.
  2. Keep negative substitutions in parentheses and follow order of operations.
  3. Check factorizations by multiplying and equations by substitution.
  4. For application questions, define the quantity and translate the wording before calculating.

Common Mistakes to Avoid

Common errors include combining unlike terms, losing signs during distribution, forgetting to reverse inequalities, confusing slope with intercept, omitting restrictions, and using the wrong number of sequence intervals.

Practice Format

Use this free 20-question test for classroom review, tutoring, homework support, exam preparation, or independent practice. Each response is followed by an explanation, and the test can be repeated without registration.