Free online coursePrealgebra

Course Description

Strengthen your math foundation and step into algebra with confidence. This free online prealgebra course is designed to help you move from memorizing rules to truly understanding how numbers work, so everyday calculations and future math classes feel manageable instead of overwhelming. Whether you are catching up, returning to school, or preparing for more advanced algebra, you will develop clear, repeatable problem-solving habits that transfer to homework, tests, and real-life decisions.

You will start by building number sense with place value, expanded form, rounding, and estimating—skills that make mental math quicker and errors easier to spot. From there, you will sharpen the essential operations with whole numbers and learn when to apply perimeter and area to practical situations. As you progress, you will work with division vocabulary and strategies, then use exponents and the order of operations to keep multi-step problems organized and accurate.

A major turning point in prealgebra is learning to think with symbols. You will get comfortable with variables, algebraic expressions, and the difference between an expression and an equation. You will practice simplifying and solving, including cases where variables appear on both sides, and you will learn to translate written statements into equations—an important bridge to word problems and real applications.

Because prealgebra is also about flexible number systems, the course guides you through integers and their rules, then builds fluency with fractions and mixed numbers, including simplification, prime factorization, least common denominators, and operations that often confuse learners. You will extend that fluency to decimals by mastering place value, aligning decimals correctly, and solving equations that involve decimal multiplication and division. Along the way, you will connect topics through order of operations so your work stays consistent across different types of numbers.

The later sections bring math into everyday contexts: averages and basic statistics, ratios and rates, proportions, square roots and introductory geometry with the Pythagorean theorem, and practical percent problems such as discounts, tax, commission, and interest. You will also begin working with polynomials and exponent properties to prepare for the next stage of algebra. With guided practice throughout, you will build accuracy, speed, and the confidence to tackle unfamiliar problems step by step.