Page 2: Vertex Formulas and Discriminants

This section covers parabola analysis through vertex formulas and discriminant calculations.

Definition: The vertex represents the maximum or minimum point of a parabola, denoted as (h,k).

Vocabulary: Discriminant $d=b²-4ac$ determines the number and nature of roots in quadratic equations.

Example: The vertex can be found using either -b/2a or the midpoint method between x-intercepts.

Highlight: Understanding discriminant results: d<0 means no roots, d=0 indicates one root, and d>0 shows two roots exist.

Page 3: Trigonometry and Circle Measurements

This page details trigonometric ratios and circular measurements essential for SAT mathematics.

Definition: SOH-CAH-TOA represents the fundamental trigonometric ratios: Sine=Opposite/Hypotenuse, Cosine=Adjacent/Hypotenuse, Tangent=Opposite/Adjacent.

Example: Arc length calculation uses the formula: 2πr × (Angle/360), representing a portion of the circle's circumference.

Highlight: The complementary angle rule states that when sine and cosine are equal, their angles sum to 90 degrees.

Page 4: Advanced Geometry and Applications

The final page covers advanced geometric concepts and practical mathematical applications.

Definition: The equation of a circle on the coordinate plane is $x-h$² + $y-k$² = r².

Example: Special right triangles $45-45-90 and 30-60-90$ have specific side length relationships.

Vocabulary: Growth and decay formula A=P$1+r$ᵗ where A is total amount, P is principal, r is rate, and t is time.

Highlight: Interior angle sum formula for polygons is 180$n-2$, where n represents the number of sides.

Page 1: Essential SAT Formulas - Part 1

This page introduces fundamental formulas for percentage calculations and quadratic equations. The content focuses on practical applications in SAT mathematics.

Definition: Percent change is calculated using (final-initial)/initial × 100, with positive results indicating increases and negative results indicating decreases.

Example: When calculating x-intercepts, two methods are available: factoring for simple equations like y=x²+6x+5, or the quadratic formula for more complex equations.

Highlight: The sum and product of roots formulas provide efficient solutions when questions specifically ask for these values without requiring full equation solving.