➗ Algebra

📚 Mathematics

Learn all about ➗ Algebra in just 15 minutes with the Octo AI app:

  • Understand variables, expressions, and linear equations
  • Apply techniques to solve one-variable equations and systems
  • Recognize linear relationships and interpret slope and intercept
  • Build foundation for advanced algebra topics like functions and inequalities
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Chapter 1: Expressions, Equations, and Like Terms

Algebra Refresher

Algebra uses letters to represent numbers.

Key ideas:

  • Variable: unknown value (like x)
  • Constant: fixed number (like 5)
  • Expression: numbers, variables, operations (3x + 2)
  • Equation: two expressions are equal (3x + 2 = 11)

You can evaluate expressions by substituting numbers and solve equations to find unknowns.

Expressions, Equations, and Like Terms

Like Terms 👯

Like terms have:

  • Same variable
  • Same exponent

Examples:

  • 3x and −5x → like
  • 2y and 7y → like
  • 4x and 4x² → not like

To simplify expressions, combine like terms by adding or subtracting their coefficients.

Example: 3x + 5x − 2x = (3 + 5 − 2)x = 6x

Simplifying Expressions

Steps:

1. Remove parentheses (if possible)

2. Combine like terms

Example:

  • 2x + 3 + 5x − 1
  • = (2x + 5x) + (3 − 1)
  • = 7x + 2

Tip: Keep variables and numbers grouped to avoid mistakes.

Expressions, Equations, and Like Terms

Equation VS Expression

  • Expression: 4x − 7

• No equal sign

• You can simplify or evaluate

  • Equation: 4x − 7 = 9

• Has equal sign

• You can solve for x

Check: If you can ask “What is x?” it’s an equation.

💡 This is just Chapter 1. The full content with all chapters, interactive quizzes, and progress tracking is available in the Octo AI app.

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