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Algebra I

Strengthen your algebra skills by exploring equations, exponents, and the unknown.

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
lessons

23

Concepts and
exercises

280+
  1. 1

    Equations and Unknowns

    Sometimes x is unknown, and sometimes it's unknowable.

    1. Balancing Scales

      Develop intuition for equation solving strategies by solving balance puzzles.

    2. Elimination

      Simplify systems of equations by combining them.

    3. Substitution

      First, isolate a shape on one side of a scale, then use this equivalency to make substitutions elsewhere.

  2. 2

    Rates and Ratios

    Use proportions to scale your thinking.

    1. Included with
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      Speed, Distance, and Time

      Use proportional reasoning to solve rate problems.

    2. Included with
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      Direct and Joint Variation

      Learn how multiplying variables together affects the results.

    3. Included with
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      Inverse Variation

      When one value gets bigger, the other gets smaller.

    4. Included with
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      Mixing Problems

      Not too little, not too much — use algebra to get mixtures just right.

  3. 3

    Linear Equations

    Explore the equations that make straight lines.

    1. Included with
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      Graphing Rates

      Explore lines to see how they relate to steady change.

    2. Included with
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      Equations of Lines

      Learn different ways of representing lines with equations.

    3. Included with
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      Special Lines

      Discover two special types of relationships between lines.

  4. 4

    Linear Systems

    Multiple equations, multiple lines.

    1. Included with
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      From Scales to Graphs

      Explore graphing linear systems on the coordinate plane.

    2. Included with
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      Number of Solutions

      See what determines how many solutions a linear system can have.

    3. Included with
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      Problem Solving

      Stretch your understanding of linear systems with these challenging problems.

  5. 5

    Exponents and Radicals

    Understand and apply powers and roots.

    1. Included with
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      Exponent Properties

      Build powers from multiplication, and then merge powers together.

    2. Included with
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      Powers of Products and Powers

      See how we can break apart powers of some expressions.

    3. Included with
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      Zero and Negative Exponents

      What does it mean to raise a number to a zero or negative power?

    4. Included with
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      Fractional Exponents and Radicals

      How are exponents and radicals related?

  6. 6

    Sequences

    The algebra of numerical patterns.

    1. Included with
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      Patterns

      Explore, describe, and predict the patterns.

    2. Included with
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      Describing Sequences

      Use algebra to describe numerical patterns.

    3. Included with
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      Arithmetic Sequences

      Focus on sequences built on addition.

    4. Included with
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      Geometric Sequences

      Investigate patterns with repeated multiplication.