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Brilliant

Linear Equations

via Brilliant

Overview

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Continue your algebra journey with a visual, intuitive approach to expressions and equations. Using interactive diagrams like algebra tiles and invoices, you'll represent situations with variables and equations.

This course starts with the basics: understanding what a variable represents, evaluating expressions, and combining like terms. From there, you'll learn to solve equations step by step, building from simple one-operation problems to multi-step equations. Along the way, you'll develop strategies for working with negative values in expressions and equations.

By the end of this course, you'll be able to translate real-world situations into algebraic expressions, solve linear equations confidently, and understand the reasoning behind each step—setting you up for success in more advanced algebra.

Syllabus

  • Linear Expressions
    • Solving Equations
      • Solving Inequalities
        • Combining Terms
          • Negative Values
            • Solving with Negatives
              • Solving Inequalities with Negatives
                • Distributing
                  • Factoring
                    • Equations with No or Many Solutions

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