Hey everyone, I've started studying for the SAT and I want to know which math formulas I absolutely need to have memorized. Could you guys share the most important ones, or point me to a resource that has them listed? Thanks!
Hey there! Memorizing essential math formulas is a great way to prepare for the SAT. Here's a list of the most important formulas you should know:
1. Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
2. Point-slope form: y - y1 = m(x - x1), where m is the slope, and (x1, y1) is a known point on the line.
3. Quadratic formula: x = [-b ± sqrt(b² - 4ac)] / 2a for the equation ax² + bx + c = 0.
4. Distance formula: d = sqrt[(x2 - x1)² + (y2 - y1)²], where (x1, y1) and (x2, y2) are coordinates of two points.
5. Midpoint formula: M = [(x1 + x2)/2, (y1 + y2)/2], where (x1, y1) and (x2, y2) are coordinates of two points.
6. Pythagorean theorem: a² + b² = c² for right-angled triangles, where a and b are the lengths of the legs and c is the length of the hypotenuse.
7. Area of a triangle: A = (1/2)bh, where b is the base length and h is the height.
8. Area of a rectangle: A = lw, where l is the length and w is the width.
9. Area of a circle: A = πr², where r is the radius.
10. Circumference of a circle: C = 2πr or C = πd, where r is the radius and d is the diameter.
11. Volume of a rectangular prism: V = lwh, where l is the length, w is the width, and h is the height.
12. Volume of a cylinder: V = πr²h, where r is the radius and h is the height.
13. Volume of a sphere: V = (4/3)πr³, where r is the radius.
14. Volume of a cone: V = (1/3)πr²h, where r is the radius and h is the height.
Additionally, don't forget to familiarize yourself with basic geometric and algebraic rules, such as angle relationships in parallel lines, properties of special triangles (e.g., isosceles and equilateral triangles), and exponent rules. Knowing these key formulas, along with practicing a variety of problems, will help you excel in the math section of the SAT. Good luck with your studies!
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