Exam prep · intermediate
SAT Math Prep
Core algebra, functions, and geometry skills useful for SAT Math. These are deliberate reps, not timed multi-paragraph exam clones.
Skills
68 skills in 5 sections — fundamentals first, then more specific topics. Practice each until Mastery Score 100.
A.Foundations8 skills
- A.1 Number ClassesPractice →Name the most specific set for a number: natural, whole, integer, rational, irrational, or real.
- A.2 Prime FactorizationPractice →Write a positive integer as a product of primes (powers allowed).
- A.3 Greatest Common FactorPractice →Find the GCF of two positive integers.
- A.4 Least Common MultiplePractice →Find the LCM of two positive integers.
- A.5 Square Roots & IrrationalsPractice →Evaluate roots of perfect squares, or say when a square root is irrational.
- A.6 Multiplying FractionsPractice →Multiply fractions and simplify.
- A.7 Percent of a NumberPractice →Compute a percent of a whole number.
- A.8 Unit RatesPractice →Find unit rates from ratios.
B.Algebra core23 skills
- B.1 Combining Like TermsPractice →Simplify linear expressions by combining like terms.
- B.2 Distributive PropertyPractice →Expand a(b + c) expressions.
- B.3 One-Step EquationsPractice →Solve ax = b style one-step linear equations.
- B.4 Two-Step EquationsPractice →Solve two-step linear equations in one variable.
- B.5 Absolute Value EquationsPractice →Solve |x − h| = a for both roots.
- B.6 One-Step InequalitiesPractice →Solve simple linear inequalities.
- B.7 Two-Step InequalitiesPractice →Solve ax + b < c or > c and report x ? k.
- B.8 Exponent Product RulePractice →Simplify x^m · x^n by adding exponents.
- B.9 Exponent Power RulePractice →Simplify (x^m)^n by multiplying exponents.
- B.10 Systems by EliminationPractice →Solve 2×2 systems by subtracting equations.
- B.11 Systems by AdditionPractice →Solve 2×2 systems by adding to cancel a variable.
- B.12 Factor Out a GCFPractice →Factor the greatest common factor from a binomial.
- B.13 Difference of SquaresPractice →Factor x² − a² as (x−a)(x+a).
- B.14 Factoring TrinomialsPractice →Factor x² + bx + c into two binomials.
- B.15 Quadratic Roots (Factoring)Practice →Find roots of monic quadratics that factor cleanly.
- B.16 Quadratic FormulaPractice →Solve ax² + bx + c = 0 with the quadratic formula.
- B.17 Completing the SquarePractice →Rewrite x² + bx + c in vertex form (x + d)² + e.
- B.18 Add PolynomialsPractice →Combine like terms when adding linear polynomials.
- B.19 Subtracting PolynomialsPractice →Subtract one polynomial from another and collect like terms.
- B.20 Multiply BinomialsPractice →Expand (x+a)(x+b) with FOIL.
- B.21 Negative ExponentsPractice →Evaluate powers with negative exponents as fractions.
- B.22 Scientific NotationPractice →Write large and small numbers in scientific notation.
- B.23 Evaluating ExpressionsPractice →Substitute values into an algebraic expression and simplify.
C.Functions & graphs14 skills
- C.1 Slope Between PointsPractice →Find the slope through two points.
- C.2 Slope from a GraphPractice →Read rise over run from a graphed line and slope triangle.
- C.3 Slope-Intercept FormPractice →Rewrite Ax + By = C as y = mx + b.
- C.4 Slope–Intercept FeaturesPractice →Read slope m and y-intercept b from y = mx + b.
- C.5 Intercepts from a Line GraphPractice →Read x- and y-intercepts directly from a graphed line.
- C.6 Line Through Two PointsPractice →Find the slope–intercept equation (or m,b) from two graphed points.
- C.7 Which Graph Is This Line?Practice →Match y = mx + b to the correct graphed line.
- C.8 Parabola Key FeaturesPractice →Find vertex or y-intercept from vertex form.
- C.9 Zeros from a Parabola GraphPractice →Read a parabola’s positive x-intercept from its graph.
- C.10 Function EvaluationPractice →Evaluate polynomial functions at a point.
- C.11 Function CompositionPractice →Evaluate (f ∘ g)(x) at a number.
- C.12 Which Graph Is This Parabola?Practice →Match vertex-form quadratics to the correct graphed parabola.
- C.13 Reading a ParabolaPractice →Read y-intercepts and point values from a graphed quadratic.
- C.14 Domain of Rational FunctionsPractice →Find the excluded x-value of a rational function.
D.Geometry16 skills
- D.1 Triangle Angle SumPractice →Find a missing angle in a triangle.
- D.2 Triangle Angles in a DiagramPractice →Use a labeled triangle diagram to find a missing interior angle.
- D.3 Angles with Parallel LinesPractice →Use corresponding angles formed by a transversal of parallel lines.
- D.4 Complementary & Supplementary AnglesPractice →Find the missing angle in a complementary or supplementary pair.
- D.5 Pythagorean TheoremPractice →Find a missing side of a right triangle.
- D.6 Right-Triangle DiagramPractice →Find a missing side from a labeled right-triangle diagram.
- D.7 Rectangle AreaPractice →Compute area of a rectangle.
- D.8 Triangle AreaPractice →Find the area of a triangle from base and height.
- D.9 Parallelogram & Trapezoid AreaPractice →Find areas of parallelograms and trapezoids.
- D.10 Circle AreaPractice →Compute area given radius (coefficient of π).
- D.11 CircumferencePractice →Find a circle's circumference in terms of π.
- D.12 Distance Between PointsPractice →Find the distance between two points in the plane.
- D.13 MidpointPractice →Find the midpoint of a segment in the plane.
- D.14 Angles from a DiagramPractice →Read a marked angle between two rays in a figure.
- D.15 Which Circle Matches?Practice →Match (x − h)² + (y − k)² = r² to the correct graphed circle.
- D.16 Circles on the PlanePractice →Read center coordinates or radius from a graphed circle.
E.Advanced algebra7 skills
- E.1 Exponent LawsPractice →Simplify products and powers of powers.
- E.2 Log Product RulePractice →Expand log(ab) using log laws (base 10 style).
- E.3 Inverse of Linear FunctionsPractice →Find the inverse of f(x) = ax + b.
- E.4 Simplifying RadicalsPractice →Pull perfect-square factors out of a square root.
- E.5 Adding Complex NumbersPractice →Add and subtract numbers in a + bi form.
- E.6 Multiplying Complex NumbersPractice →Multiply numbers in a + bi form using i² = −1.
- E.7 Right-Triangle TrigPractice →SOH-CAH-TOA with integer sides.