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Learn Pre-Algebra

Build the number skills that make algebra feel easy.

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Pre-algebra is the set of skills that sits between arithmetic and algebra. It covers integers and negative numbers, order of operations, factors and multiples, fractions, decimals and percentages, ratios and proportions, exponents and square roots, and the first steps with variables: writing expressions, using the distributive property and solving one and two-step equations. It also introduces the coordinate plane. Most trouble in algebra traces back to a gap here, so it is worth doing well. Learnr builds a personalized pre-algebra course and teaches it in short interactive lessons that check your understanding before moving on.

How to learn Pre-Algebra, step by step

Master negative numbers on a number line. Picture adding and subtracting integers as moving along a number line, and learn why subtracting a negative means adding. Then practice the sign rules for multiplying and dividing until they are automatic.
Apply order of operations precisely. Work parentheses, exponents, then multiplication and division from left to right, then addition and subtraction from left to right. PEMDAS can mislead if you think multiplication always comes before division.
Get solid with factors and fractions. Find prime factorizations, greatest common factors and least common multiples, then use them to simplify fractions and find common denominators. Fractions are where many algebra struggles begin.
Connect ratios, rates and percentages. Solve proportion problems like recipes and maps by setting up equal ratios, compute unit rates, and convert freely among fractions, decimals and percents. Real-life problems such as discounts make good practice.
Start using variables. Translate phrases like "five less than twice a number" into 2n - 5, combine like terms and use the distributive property. Then solve equations like 3x + 4 = 19 by undoing operations.
Practice a little every day. Short mixed sets that revisit earlier topics are what make these skills durable. Learnr lessons and streaks support exactly that habit, so negatives and fractions stay sharp when algebra arrives.

What you'll learn

Calculate confidently with negative numbers and order of operations
Work with fractions, decimals, percentages, ratios and proportions
Use exponents, square roots and prime factorization
Write and simplify expressions with variables
Solve one and two-step equations and plot points on a coordinate plane

What's inside your Pre-Algebra course

A sample path Learnr builds for Pre-Algebra. Your real course adapts to your goal and level.

1. Integers and the number line
2. Order of operations, factors and multiples
3. Fractions, decimals and percentages
4. Ratios, rates and proportions
5. Exponents, roots and expressions
6. Equations, inequalities and the coordinate plane

How long does it take to learn Pre-Algebra?

Most learners complete pre-algebra in about 2 to 4 months at 3 to 4 hours a week. Adults reviewing before an algebra class or exam can often move faster, in 4 to 8 weeks, by focusing on the topics that feel shaky.

What you need before you start

Whole-number arithmetic: addition, subtraction, multiplication tables and long division. Basic familiarity with simple fractions helps but is taught in the course.

Common mistakes to avoid

Doing all multiplication before any division, or all addition before subtraction, instead of working left to right within each pair.
Treating -3² as 9. Without parentheses, the exponent applies first, so -3² equals -9, while (-3)² equals 9.
Changing only one side of an equation, which breaks the balance. Whatever you do to one side, do to the other.

How Learnr builds your course

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Pre-Algebra questions, answered

What is the difference between pre-algebra and algebra?

Pre-algebra builds number skills like negatives, fractions, ratios and exponents and introduces simple equations. Algebra uses those skills to solve multi-step equations, work with functions and graphs, and handle systems and quadratics.

Can adults learn pre-algebra from scratch?

Yes. Many adults return to it before a college class, a job test or to help their kids. Starting from a diagnostic and filling specific gaps is usually faster than repeating everything.