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7MA_Formulas
Math Formulas
Question | Answer |
---|---|
Perimeter of a Rectangle | P = 2l + 2w or P = 2(l + w) |
Perimeter of a Polygon | Sum of all sides |
Circumference of a Circle | C = 2πr or C = πd |
Area of a Triangle | A = 1/2bh or A = bh/2 |
Area of a Circle | A = πr to the 2nd power |
Area of a Square | A = s to the 2nd power |
Area of a Rectangle | A = lw or A = bh |
Area of Parallelogram | Base x height |
Area of a Trapezoid | A = 1/2(a+b)h |
Volume of a cylinder | V = πr to the 2nd power times h |
Surface Area of a Cylinder | S = 2πrh + 2πr to the 2nd power or S = 2πr(h + r) |
Volume of a rectangular prism | V = (L)(W)(H) |
Surface Area of a Rectangular Prism | 2(LW + LH + WH) |
Percent Change | Difference divided by Decimal (difference/original $ = percent change) |
Simple Interest | Interest = percent x rate x time I= ($) x (%) x (years) |
Ratio for probability | Desire divided by total |
Rational Numbers | numbers that can be written as a ratio or fraction ("all frats are rats") |
Irrational Numbers | Cannot be written as a ratio or a fraction (no bar, no pattern) Example: π - Pi |
Scientific Notation | a way to easily handle very large numbers or very small numbers (ex: 0.0000000056 = 5.6 x 10 to the -9 power) |
Midpoint Value | x1 + x2/2, y1 + y2/2 (subscript↓) |
Complementary Angles | either of two angles whose sum is 90 degrees |
Supplementary Angles | either of 2 angles whose sum is 180 degrees |
Translation | slide |
rotation | turn |
dilation | multiply/enlarge/shrink |
reflection | flip |
distance/rate formula | d = r x t |
distance between two points | d=√(x2-x1)2 + (y2-y1)2 (subscript↓) |
unit cost | total cost/# of items or money/number |
Slope intercept form | y=mx + b |
slope formula | rise/run or y2-y1/x2-x1 (subscript↓) |
Triangle sum theorum | a + b + c = 180 |
Exterior angle theorum | angle A = the sum of 2 remote interior angles of a triangle |
Pythagorean Theorum | a2 + b2 = c2 (superscript↑) |
Volume of a cube | v = s3 (superscript) or V = L x W x H |
Volume of a cone | v = 1/3πr2h (superscript↑) |
volume of a sphere | v = 4/3πr3 (superscript↑) |
volume of a pyramid | v = lwh/3 |
surface area of a cube | 6s squared |
surface area of a cone | a = πr squared + πrL |
surface area of a sphere | a = 4πr squared |