Algebra 1 Revision Sheet

1. 📌 Essentials

• Variables are symbols representing unknown quantities.
• Expressions combine numbers, variables, and operations; simplified by combining like terms.
• Equations are statements of equality; solved by isolating the variable.
• Properties of equality: addition, subtraction, multiplication, division.
• Inequalities express ranges; solved similarly to equations, with sign considerations.
• Graph of $y = mx + b$: straight line with slope $m$ and y-intercept $b$.
• Functions relate inputs to outputs; notation: $f(x)$.
• Domain: all possible input values; Range: all possible output values.
• Systems of equations: multiple equations solved simultaneously, often via substitution or elimination.
• Word problems translate real scenarios into algebraic models.

2. 🧩 Key & Components