Mathematics SAT-48: Function Transformations — Shifts and Reflections Shift and reflect a graph by changing f(x): outside moves it vertically, inside moves it horizontally (and backwards).
Mathematics SAT-47: Functions — Domain, Range, and Evaluation Understand function notation f(x), evaluate it, and find the domain (inputs) and range (outputs).
Mathematics SAT-46: Compound Interest and Percent Growth Use the compound-interest formula to grow money by a percent over many periods, including monthly/yearly.
Mathematics SAT-45: Writing Exponential Functions (y = ab^x) from Word Problems Turn a real-world growth or decay story into y = a·b^x by finding the start value a and the factor b.
Mathematics SAT-44: Exponential vs. Linear Growth Tell linear growth (add the same amount) apart from exponential growth (multiply by the same factor).
Mathematics SAT-43: Graphs of Higher-Degree Polynomials — End Behavior & Multiplicity Predict how a polynomial graph starts and ends, and how it behaves at each root using multiplicity.
Mathematics SAT-42: The Remainder Theorem and the Factor Theorem Use P(a) to find the remainder when dividing by (x − a), and to test whether (x − a) is a factor.
Mathematics SAT-41: Simplifying Rational Expressions & Polynomial Division Simplify fractions of polynomials by factoring and cancelling, and divide polynomials by long division.
Mathematics SAT-40: Rational Equations and Domain Restrictions Solve equations with variables in the denominator, and exclude values that make a denominator zero.
Mathematics SAT-39: Radical Equations and Extraneous Solutions Solve square-root equations by isolating and squaring — then check for extraneous (fake) solutions.
Mathematics SAT-38: Systems of Non-Linear Equations (Linear–Quadratic) Solve a line-and-parabola system by substitution, and use the discriminant to count intersections.
Mathematics SAT-37: Graphing Parabolas — Intercepts, Vertex, and Symmetry Graph any parabola fast by finding its intercepts, vertex, and axis of symmetry.
