Algebra course topic
Expressions & Equations
Translate algebraic structure, simplify without changing value, and solve equations with a reliable sequence of reversible moves.
Direct answers and concept explanations that make the structure visible.
01Algebra · Concept explainerOrder of operations with variables: what actually comes first?Parentheses and exponents set the structure; multiplication, division, addition, and subtraction then move left to right within their own level.03Algebra · Concept explainerThe distributive property: why the outside factor reaches every termDistribution is multiplication across a sum. It expands an expression without changing its value—and it works in reverse when factoring.
Repeatable procedures with worked examples and checks.
02Algebra · Method guideCombining like terms without combining things that only look alikeTerms combine only when their variable parts match exactly. The coefficients change; the variable structure does not.04Algebra · Method guideSolving linear equations: keep the balance, not a bag of tricksAn equation stays true when the same legal operation is applied to both sides. Simplify, isolate, and check.06Algebra · Method guideEvaluating algebraic expressions by substitutionReplace every occurrence of the variable, preserve the expression's grouping, and simplify only after the substitution is complete.
Comparisons for the moments when several methods look possible.