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.
Mathematics SAT-36: Finding Maximum and Minimum Values of a Quadratic Find the highest or lowest value of a quadratic using the vertex (h, k) and x = −b/2a.
Mathematics SAT-35: Vertex Form of a Quadratic Read the turning point of a parabola straight from vertex form y = a(x − h)² + k.
Mathematics SAT-34: Determining Number and Type of Roots using the Discriminant Use b² − 4ac to tell how many real solutions a quadratic has — without solving it.
Mathematics SAT-33: The Quadratic Formula and the Discriminant Solve any quadratic with the quadratic formula, and meet the discriminant b² − 4ac.