Hey, y'all! I'm working on making an SAT formulas sheet for my prep sessions. What are the must-have formulas and concepts that I should include in it to help me ace the Math section?
Hi there! Creating a formula sheet for the SAT Math section is a great idea. Here's a list of essential formulas and concepts you should include on your sheet:
1. Basic Arithmetic and Algebra
- Order of operations (PEMDAS/BODMAS)
- Exponents and radicals
- Absolute value
- Factoring and solving quadratic equations
- Distance formula: Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
- Slope-intercept form of a linear equation: y = mx + b
- Point-slope form: (y - y₁) = m(x - x₁)
- Systems of linear equations
2. Ratios, Proportions, and Percentage
- Ratios: a:b, a/b, or a to b
- Proportions: a/b = c/d
- Percentages: Percent = (Part/Whole) × 100
3. Geometry
- Perimeter and area of rectangles, triangles, circles, and trapezoids
- Circumference and area of a circle: C = 2πr and A = πr²
- Pythagorean Theorem: a² + b² = c²
- Special right triangles: 45-45-90 (1:1:√2) and 30-60-90 (1:√3:2)
- Volume and surface area of rectangular prisms, cylinders, and spheres
- Properties of parallel and perpendicular lines
- Angle relationships: complementary, supplementary, and vertical angles
4. Trigonometry (Basic)
- SOHCAHTOA (right triangles): sin(θ) = Opposite/Hypotenuse, cos(θ) = Adjacent/Hypotenuse, tan(θ) = Opposite/Adjacent
- Trigonometric ratios and inverse trigonometric functions
5. Statistics and Probability
- Mean, median, and mode
- Range and standard deviation
- Probability: P(Event) = (Number of favorable outcomes)/(Total possible outcomes)
- Independent and dependent events
6. Functions and Graphs
- Domain and range
- Evaluating and graphing functions
- Features of graphs: intercepts, symmetry, extrema, and asymptotes
- Types of functions: linear, quadratic, exponential, logarithmic
Keep in mind that the SAT is not just about formulas, but also problem-solving and critical thinking skills. Make sure you practice plenty of questions and become familiar with the way questions are framed. Good luck with your SAT prep!
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