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Pre-Algebra

Start your algebra journey here with an introduction to variables and equations.

Use diagrams and words to explore the very start of algebra, with puzzles and intuition guiding the way.

By the end of the course, you'll be able to simplify expressions and solve equations using methods that impart deep understanding rather than just procedures. You'll sharpen your problem solving strategies and explore what's really useful about algebra in the first place.

Interactive
quizzes

21

Concepts and
exercises

165+
  1. 1

    Introduction

    Meet the visuals and concepts that will guide us through arithmetic to algebra.

    1. Number Relationships

      Start the road to algebra and solving equations by visualizing the relationships between numbers.

    2. Bar Models

      Use geometric figures to think strategically about arithmetic.

    3. Variables

      Why use letters in the place of numbers?

  2. 2

    Variables and Notation

    Master the art of math with letters.

    1. Included with
      Brilliant Premium

      Order of Operations

      What order do calculations happen — and does it matter?

    2. Included with
      Brilliant Premium

      Expressions

      Work out the value and meaning of expressions when letters take the place of numbers.

    3. Included with
      Brilliant Premium

      Creating Equations

      Before we can solve equations, we have to learn how to make them.

    4. Included with
      Brilliant Premium

      Finding Unknowns

      Turn unknown values into known values with style.

  3. 3

    Factoring

    Take numbers apart and put them back together.

    1. Included with
      Brilliant Premium

      Primes

      Use prime numbers to see how numbers are formed.

    2. Included with
      Brilliant Premium

      Factorization

      Split numbers into their component parts by factoring.

    3. Included with
      Brilliant Premium

      The Distributive Property

      Work with expressions that use both multiplication and addition.

    4. Included with
      Brilliant Premium

      Common Factors

      Extract factors to turn sums into products.

  4. 4

    Simplification

    Force the symbols to reveal their hidden meanings.

    1. Included with
      Brilliant Premium

      Evaluating Expressions

      Reduce tedious calculation by rewriting expressions.

    2. Included with
      Brilliant Premium

      Like Terms

      See when and how to make expressions shorter.

    3. Included with
      Brilliant Premium

      Comparing Expressions

      Simplify to quickly find which expression is larger.

    4. Included with
      Brilliant Premium

      Problem Solving

      Combine the powers of simplification and the distributive property.

  5. 5

    Equations

    Uncover the rules for solving equations.

    1. Included with
      Brilliant Premium

      Circle Puzzles

      Solve intuitive and fun puzzles that lead directly to solving equations.

    2. Included with
      Brilliant Premium

      Circle Puzzles and Equations

      How do circle puzzles transform into algebraic equations?

    3. Included with
      Brilliant Premium

      Solving Equations

      Undo the operations and work backward to find solutions.

    4. Included with
      Brilliant Premium

      Both Sides

      Move variables around to solve two-sided equations.