Back to Courses

Introduction to Algebra

Supercharge your thinking with the language of algebra.

Explore graphs of equations, exponents, counting problems, and more, emphasizing intuition and understanding over just finding an answer.

This course will deepen your knowledge of basic algebra and introduce you to some surprisingly useful applications of this powerful mathematical tool.

Interactive
quizzes

15

Concepts and
exercises

280+
  1. 1

    Introduction

    Describe the world with the language of algebra.

    1. Writing Algebra

      Use algebra to trace the relationships between multiple unknown quantities.

    2. Calculation Shortcuts

      Sometimes asking a simpler question can produce the same answer for less.

    3. Graphical Reasoning

      Graphs can reveal surprising relationships and bypass calculation.

  2. 2

    Creating Points

    Coordinates give us the tools to describe locations with precision.

    1. Included with
      Brilliant Premium

      Spotting Spiders

      Use coordinates to describe the location of insidious invaders.

    2. Included with
      Brilliant Premium

      Follow the Equation

      Investigate the relationship between points and the solutions of equations.

    3. Included with
      Brilliant Premium

      A Spider Rendezvous

      Unravel a mystery with visual thinking.

  3. 3

    Connect the Dots

    Reason about equations to uncover their properties and patterns.

    1. Included with
      Brilliant Premium

      Fill it Up

      Explore the connection between graphs and equations.

    2. Included with
      Brilliant Premium

      Concentrate on the Drink

      Deploy algebraic reasoning to explain graph relationships.

    3. Included with
      Brilliant Premium

      Make the Mixture

      Use graphs to find optimal solutions.

  4. 4

    Graph Menagerie

    Take a tour of the variety of shapes that equations can form.

    1. Included with
      Brilliant Premium

      Point by Point

      Build graphs by plotting individual points.

    2. Included with
      Brilliant Premium

      See the Pattern

      Use symmetry to simplify graphing.

    3. Included with
      Brilliant Premium

      Square them Both

      Algebraic simplification helps with graphing.

  5. 5

    Interpreting Graphs

    Use graphs to solve problems that resist algebraic unpacking.

    1. Included with
      Brilliant Premium

      Relating Dimensions

      Use algebra to optimize.

    2. Included with
      Brilliant Premium

      One Face at a Time

      Unlock the information we need by writing expressions.

    3. Included with
      Brilliant Premium

      Put it All Together

      Graphing helps solve an otherwise impossible problem.