Algebra 1
Every lesson explains the concept, works through examples, and gives you practice problems with full solutions. Work through them in order, or jump to the topic you need.
12 lessons
- How to Solve One-Step EquationsSolve one-step equations by doing the same inverse operation to both sides, with worked examples, common mistakes, and practice problems with full solutions.
- How to Solve One-Step InequalitiesSolve one-step inequalities the same way as equations, plus the one rule that changes: why the sign flips when you multiply or divide by a negative.
- How to Solve Two-Step EquationsSolve two-step equations by undoing addition first and multiplication second, with worked examples, common mistakes, and practice problems with full solutions.
- How to Solve Multi-Step EquationsSolve multi-step equations by distributing, combining like terms, then undoing operations in reverse order, with worked examples and practice problems.
- How to Solve Multi-Step InequalitiesSolve multi-step inequalities by distributing, combining like terms, and undoing operations in reverse order, including when to flip the inequality sign.
- Solving Equations with Variables on Both SidesSolve equations with variables on both sides by collecting variable terms on one side, plus how to recognise no solution and infinitely many solutions.
- How to Solve Compound Inequalities (AND and OR)Solve compound inequalities joined by AND or OR, graph the solution on a number line, and tell which combinations give no solution or every number.
- How to Solve Literal Equations and Rearrange FormulasRearrange a formula to solve for any variable using the same inverse operations you use on numbers, with worked examples from geometry, physics, and finance.
- Solving Quadratic Equations by FactoringSolve quadratics by factoring using the zero product property, why the equation must equal zero first, and how to factor the common trinomial patterns.
- How to Solve Absolute Value EquationsSolve absolute value equations by splitting into two cases, why two answers appear, when there is no solution, and how absolute value inequalities differ.
- Completing the Square, Step by StepLearn completing the square: why the method works geometrically, how to handle a leading coefficient, and how it produces vertex form and the quadratic formula.
- The Quadratic Formula: How and Why It WorksLearn the quadratic formula, where it comes from, and how to use it to solve any quadratic equation, with worked examples and practice problems.