SAT Math Formula Sheet: Your Ultimate Cheat Sheet

Section 1: Algebra

Linear Equations and Inequalities

• Slope-intercept form: y = mx + b
• Point-slope form: y - y1 = m(x - x1)
• Slope-intercept form: y = mx + b
• Equation of a line through two points: (y2 - y1) / (x2 - x1) = m
• Standard form of a line: Ax + By + C = 0

Quadratic Equations

• Quadratic formula: x = (-b ± √(b² - 4ac)) / 2a
• Vertex formula: (h, k) = (-b / 2a, -(Δ / 4a))
• Δ = b² - 4ac

Systems of Equations

• Substitution method
• Elimination method
• Cramer's rule

Functions

• Function notation: f(x)
• Domain and range
• Slope and rate of change
• Linear function: f(x) = mx + b
• Quadratic function: f(x) = ax² + bx + c

Section 2: Geometry

Triangles

• Triangle Sum Theorem: The sum of the interior angles of a triangle is 180°.
• Area of a triangle: A = (1/2)bh
• Pythagorean Theorem: a² + b² = c²
• Special right triangles: 45-45-90°, 30-60-90°

Quadrilaterals

• Parallelogram: Opposite sides are parallel and equal.
• Rectangle: Four right angles.
• Square: Four right angles and four equal sides.
• Trapezoid: One pair of parallel sides.
• Area of a trapezoid: A = (1/2)(a + b)h

Circles

• Circumference: C = 2πr
• Area: A = πr²

Solids

• Volume of a cube: V = s³
• Volume of a rectangular prism: V = lwh
• Volume of a cylinder: V = πr²h
• Volume of a sphere: V = (4/3)πr³

Section 3: Trigonometry

Trigonometric Ratios

• sine: sin θ = opposite / hypotenuse
• cosine: cos θ = adjacent / hypotenuse
• tangent: tan θ = opposite / adjacent

Pythagorean Identity

• sin² θ + cos² θ = 1

Trigonometric Functions

• Graph of sine function: y = sin x
• Graph of cosine function: y = cos x
• Graph of tangent function: y = tan x

Trigonometric Identities

• Double-angle formulas
• Half-angle formulas
• Sum and difference formulas

Section 4: Statistics

Descriptive Statistics

• Mean: Average of a set of data
• Median: Middle value of a set of data
• Mode: Most frequently occurring value in a set of data
• Standard deviation: Measure of how spread out data is

Probability

• Probability of an event: P(E)
• Conditional probability: P(A | B)

Hypothesis Testing

• Null hypothesis
• Alternative hypothesis
• Type I error
• Type II error

Tables:

Table 1: Summary of SAT Math Subject Topics

Table 2: Key SAT Math Concepts

Table 3: SAT Math Sample Questions

Table 4: Useful Tips for SAT Math

FAQs:

1. Why is it important to practice SAT Math?
   It helps improve problem-solving skills, develops critical thinking abilities, and prepares students for success on the SAT exam.

2. What are the most common pain points in SAT Math?
   Students often struggle with trigonometry, algebra, and geometry concepts.

3. How can I overcome these pain points?
   Regular practice, thorough concept review, and utilizing resources like a formula sheet can help overcome these challenges.

4. How does a SAT Math formula sheet benefit me?
   It provides quick access to crucial formulas, saving time during the exam and reducing the risk of errors.

   

5. How can I use a SAT Math formula sheet effectively?
   Familiarize yourself with the formulas, use it strategically during the exam, and ensure you understand the concepts behind each formula.

   

6. What is the best way to study for SAT Math?
   Combine practice problems, concept review, mock tests, and seeking guidance from teachers or tutors.

   

7. How can I stay motivated during SAT Math preparation?
   Set realistic goals, track progress, connect with supportive peers, and reward yourself for accomplishments.

8. What are the benefits of exceling in SAT Math?
   It improves college admission prospects, opens up scholarship opportunities, and boosts confidence in mathematical abilities.