NapkinCalc

Algebra 1A — Equations & Lines

Part 1 of 2. Solving linear equations, inequalities (and the sign-flip trap), and the slope–intercept story of straight lines.

Algebra is really just one move, repeated: whatever you do to one side of an equation, do the exact same thing to the other. Keep the scale balanced and you can chase the unknown out of hiding. This is part 1 of 2 of Algebra 1, and every number below is live — change one and the whole chain recomputes.

  1. 01 The one move: solving linear equations Explain-it-like-I'm-5: an equation is a balanced see-saw. The two sides weigh the same. As long as you change both sides identically, it stays balanced —…
  2. 02 Inequalities — the one twist ELI5: inequalities (<, >, ≤, ≥) solve exactly like equations, with one rule to never forget: if you multiply or divide both sides by a negative number,…
  3. 03 Lines: slope, intercept & graphing ELI5: a straight line is a steady rate. The slope says how much y climbs for each step right in x (rise ÷ run); the intercept says where the line crosses x =…

next course: Algebra 1B — Systems, Exponents & Factoring →