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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
lessons

28

Concepts and
exercises

185+
  1. 1

    Variables

    1. Understanding Variables

      Why use letters in the place of numbers?

    2. Extra Practice

      Solve five problems to strengthen your skills.

  2. 2

    Expressions

    1. Understanding Expressions

      Evaluate expressions where letters take the place of numbers.

    2. Extra Practice

      Solve five problems to strengthen your skills.

  3. 3

    Equations

    1. Understanding Equations

      Make equations and turn unknown values into known values with style.

    2. Extra Practice

      Solve five problems to strengthen your skills.

  4. 4

    Review

    1. Concept Check

      Warm up for problem solving with a quick check of key concepts and ideas.

    2. Problem Solving

      Reinforce key concepts and skills through problem solving.

  5. 5

    Challenges

    1. Circle Puzzles

      Reason about unknown quantities to conquer this five level puzzle.

    2. Circle Puzzles with Variables

      Conquer this five level puzzle with algebra.

    3. Catch the Thief

      Who stole the candy? Use algebra to solve the mystery in this five level challenge.

  6. 6

    Revisiting Equations

    Master the art of math with letters.

    1. Included with
      Brilliant Premium

      Creating Equations

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

    2. Included with
      Brilliant Premium

      Finding Unknowns

      Turn unknown values into known values with style.

    3. Included with
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      Order of Operations

      What order do calculations happen — and does it matter?

  7. 7

    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
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      Common Factors

      Extract factors to turn sums into products.

  8. 8

    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
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      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.

  9. 9

    Problem Solving

    Uncover the rules for solving equations.

    1. Included with
      Brilliant Premium

      Revisiting 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
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      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.