Pre-Calc.com

Order of operationsGrouping, exponents, left-to-right rules, fractions, radicals, and signs. Equations of linesSlope-intercept form, point-slope form, finding slope, and solving for b from a point and slope. FunctionsDomain, range, notation, composition, inverses, and transformations. Function behaviorEven, odd, increasing, decreasing, positive, negative, zeros, extrema, and end behavior. InequalitiesInterval notation, compound inequalities, absolute value, and sign charts. SystemsSubstitution, elimination, matrix form, no solution, infinite solutions, and regions. Factoring polynomialsGCF, grouping, trinomials, cubes, SOAP, and completing the square. Rational functionsDomain restrictions, holes, vertical asymptotes, horizontal asymptotes, slant asymptotes, and intercepts. Quadratic graphsVertex form, standard form, factored form, axis of symmetry, transformations, and max/min values. ParabolasQuadratic forms, transformations, focus, directrix, parameter p, focal width, and latus rectum. Completing the squareVertex form, solving quadratics, and the algebra bridge into circles and conic sections. Quadratic formulaDiscriminant cases, factoring guidance, quadratic formula solutions, and extraneous solution checks. Algebraic circlesCenter-radius form, radius, graphing, and completing the square from general form. HyperbolasBranches, transverse axis, conjugate axis, vertices, foci, and asymptotes. Logarithmic functionsLog meaning, log rules, change of base, equations, and scale comparisons. Sequences and seriesArithmetic and geometric sequences, finite sums, infinite geometric series, recursion, and sigma notation. Right trianglesSOHCAHTOA, inverse trig, special right triangles, and applied triangles. Law of Sines and CosinesAAS, ASA, SAS, SSS, and ambiguous SSA triangles. Unit circleQuadrant signs, radians, reference angles, and exact sine and cosine values. Trigonometric identitiesReciprocal, quotient, Pythagorean, sum, difference, and double-angle identities. PolygonsInterior angle sums, exterior angles, regular polygons, and finding the number of sides. CirclesRadii, diameters, chords, secants, tangents, central angles, and inscribed angles. 2D area and perimeterRectangles, triangles, parallelograms, trapezoids, circles, sectors, and composite figures. Permutations and combinationsSlot method, ordered selections, groups, grid paths, stars and bars, and restrictions. 2x2 matricesMatrix operations, determinants, inverses, systems, and plane transformations.