Hey everyone! I'm currently preparing for the SAT, and I'm wondering if any of you know which math formulas I should definitely have memorized for the test. I feel pretty good about the content, but I don't want to risk forgetting any helpful formulas during the test. Any advice would be greatly appreciated!
Hi! It's awesome to see that you're preparing for the SAT math section. To help you out, here's a list of important formulas and concepts you should definitely be familiar with:
1. Linear equations: y = mx + b, where m is the slope and b is the y-intercept.
2. Slope: m = (y2 - y1) / (x2 - x1)
3. Midpoint: midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
4. Distance between points: d = √[(x2 - x1)^2 + (y2 - y1)^2]
5. Quadratic equation or parabola: y = ax^2 + bx + c
6. Vertex of a parabola (when in the form y = ax^2 + bx + c): vertex = (-b / 2a, f(-b / 2a))
7. Quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a)
8. Exponential growth formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the initial amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the time in years.
9. Surface area of a rectangular prism: SA = 2lw + 2lh + 2wh (where l, w, and h are the dimensions)
10. Volume of a rectangular prism: V = lwh
11. Surface area and volume of a cylinder: SA = 2πr^2 + 2πrh, V = πr^2h
12. Surface area and volume of a sphere: SA = 4πr^2, V = (4/3)πr^3
13. Pythagorean theorem: a^2 + b^2 = c^2 (for right triangles)
14. Trigonometric ratios (for right triangles):
- sine (sin) = opposite/hypotenuse
- cosine (cos) = adjacent/hypotenuse
- tangent (tan) = opposite/adjacent
15. Special triangles:
- 45-45-90: side ratios are x, x, x√2 (legs and hypotenuse)
- 30-60-90: side ratios are x, x√3, 2x (short leg, long leg, hypotenuse)
16. Sum of the angles of an n-sided polygon: (n - 2) 180°
17. Circle related formulas (C = circumference, A = area):
- C = 2πr or C = πd (where r = radius, and d = diameter)
- A = πr^2
These are some key formulas to know for the SAT math section. Be sure to practice using them and understanding the concepts behind them to succeed on the test. Good luck!
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