My SAT is coming up and I want to make sure I know all the important math formulas for the test. Can someone share a list of the most crucial formulas that I should have memorized? Any help is appreciated!
Sure, here's a list of some key math formulas and concepts you should be familiar with for the SAT:
1. Pythagorean theorem: a² + b² = c² (for right-angled triangles)
2. Quadratic formula: x = (-b ± √(b²-4ac)) / 2a (for solving quadratic equations)
3. Slope-intercept form: y = mx + b (for linear equations)
4. Point-slope form: y - y₁ = m(x - x₁) (for lines with a known point and slope)
5. Distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²) (for distance between two points)
6. Midpoint formula: M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2) (for the midpoint of a line)
7. Standard circle equation: (x - h)² + (y - k)² = r² (for circles with center (h, k) and radius r)
8. System of linear equations: Solve simultaneous equations using substitution, elimination, or matrices
9. Properties of exponents: including product of powers, quotient of powers, power of a power, and negative exponents
10. Distance, rate, and time problems: distance = rate × time
11. Area formulas for different geometric shapes: rectangle, triangle, parallelogram, trapezoid, and circle
12. Circumference of a circle: C = 2πr
13. Volume formulas for different 3D shapes: cube, rectangular prism, cylinder, cone, and sphere
14. Mean, median, and mode: central tendency measures for data sets
15. Probability: P(event) = (number of successful outcomes) / (total number of possible outcomes)
16. Special triangles: 30-60-90 and 45-45-90 triangles
It's important to not only memorize these formulas but also practice applying them to different types of problems. Good luck on your SAT!
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