Linear equations are equations of the form where , , and are constants. This lesson covers techniques for solving linear equations of increasing complexity, from one-step equations to equations with variables on both sides.

Rearranging equations (also called solving literal equations) involves isolating a specific variable in terms of other variables. This skill is essential for working with formulas in science, engineering, and mathematics.

A system of equations is a set of two or more equations that share the same variables. Solving a system means finding values for the variables that satisfy all equations simultaneously. This lesson covers the primary methods: graphing, substitution, and elimination.

Solve and graph linear inequalities, compound inequalities, and systems of inequalities.

Operations with polynomials, factoring, and the fundamental theorem of algebra.

Solve quadratic equations by factoring, completing the square, and the quadratic formula.

Laws of exponents, radical expressions, rational exponents, and scientific notation.

Function notation, domain and range, compositions, inverses, and transformations.

Gaussian elimination is a systematic method for solving systems of linear equations. By representing the system as an augmented matrix and applying row operations, we can reduce it to row echelon form and find the solution.