Advanced Math Everything nonlinear, and the same share of the test as Algebra. Rewriting expressions into equivalent forms, solving nonlinear equations, systems where a line meets a curve, and the quadratic, exponential, polynomial and rational functions behind them.
The course — 4 units, in order
01 Equivalent Expressions Exponent and radical rules, expanding and factoring polynomials, and rewriting rational expressions — the machinery behind 'which of the following is equivalent to', this domain's commonest question. Start 02 Nonlinear Equations in One Variable Quadratics by factoring, by square roots and by the formula; radical and rational equations and the extraneous solutions they invent; exponential equations solved by matching bases; and absolute-value equations with their two branches. Start 03 Systems of Equations in Two Variables A line meeting a parabola or a circle: substituting into the curve, solving the quadratic that results, and using the discriminant to count the intersections — or to find the constant that makes the line tangent. Start 04 Nonlinear Functions Quadratic functions in all three forms and which one answers which question; exponential growth and decay and what the base really means; and polynomial and rational graphs, plus the transformations that move any graph on the test. Start