Algebra 1
Solving equations, lines & slope, systems, and the exponent rules — the foundation everything else builds on.
Algebra is one move, repeated: whatever you do to one side of an equation, do to the other. Every technique below is that move in disguise. The math here is live — change any number and the whole chain recomputes.
- 01 Solving a linear equation Solve 3x + 5 = 17. Undo the equation from the outside in: Subtract 5 from both sides → 3x = 12 Divide both sides by 3 → x = 4 The cell below does both steps at…
- 02 Lines & slope A line is a rate: slope m says how much y changes per step of x, and the intercept b says where it starts. Two points pin down the whole line.
- 03 Systems of equations Two unknowns need two equations. Solve 2x + y = 8 and x − y = 1 by elimination: add the equations and y cancels — 3x = 9.
- 04 Exponent rules Three rules cover almost everything: Product: aᵐ · aⁿ = aᵐ⁺ⁿ — multiplying stacks the exponents Power: (aᵐ)ⁿ = aᵐⁿ Negative: a⁻ⁿ = 1/aⁿ — a negative exponent…
next course: Algebra 2 →