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Grade 9 Mathematics — Term 1 Study Notes

Algebraic Expressions

Key Points

  • ✓An algebraic expression contains variables, coefficients and constants.
  • ✓Like terms have the same variable raised to the same power and can be combined.
  • ✓The distributive law: a(b + c) = ab + ac.
  • ✓Always simplify expressions by collecting like terms first.

Definitions

Variable: A letter that represents an unknown value (e.g., x, y).

Coefficient: The number multiplying a variable (e.g., 3 in 3x).

Examples

Simplify: 3x + 5x − 2 = 8x − 2

Expand: 2(x + 4) = 2x + 8

💡 You can only add apples to apples — like terms only!

Solving Linear Equations

Key Points

  • ✓To solve, isolate the variable on one side of the equation.
  • ✓Whatever you do to one side, you must do to the other.
  • ✓Always check your answer by substituting back into the original equation.

Definitions

Linear equation: An equation where the variable is raised to the power of 1.

Examples

Solve: 3x + 7 = 22 → 3x = 15 → x = 5

💡 Keep the equation balanced — like a see-saw!

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