Rectangle: A = length ร width
Triangle: A = ยฝ ร base ร height
Circle: A = ฯ ร rยฒ (ฯ โ 3.14)
Parallelogram: A = base ร height
Trapezoid: A = ยฝ ร (bโ + bโ) ร height
Rectangle: P = 2(l + w)
Triangle: P = a + b + c
Circle: C = 2 ร ฯ ร r (or ฯ ร d)
Rectangular prism: V = l ร w ร h
Cylinder: V = ฯ ร rยฒ ร h
Cone: V = โ ร ฯ ร rยฒ ร h
Sphere: V = โดโโ ร ฯ ร rยณ
Pyramid: V = โ ร base area ร h
Mean: Sum of values รท Number of values
Median: Middle value (sorted)
Mode: Most frequent value
Range: Highest โ Lowest
m = slope: (yโ โ yโ) / (xโ โ xโ)
b = y-intercept: where line crosses y-axis
Parallel lines: same slope
Perpendicular: slopes are negative reciprocals
Order of operations: PEMDAS
Absolute value: |โ5| = 5
Exponents: a^m ร a^n = a^(m+n)
Square root: โ(a ร b) = โa ร โb
% = Part / Whole ร 100
% change: (New โ Old) / Old ร 100
Cross multiply: a/b = c/d โ ad = bc
Discount: Price ร (1 โ discount rate)
Tax: Price ร (1 + tax rate)
Distributive: a(b + c) = ab + ac
FOIL: (a+b)(c+d) = ac + ad + bc + bd
Quadratic formula: x = (โb ยฑ โ(bยฒโ4ac)) / 2a
Pythagorean theorem: aยฒ + bยฒ = cยฒ
| Measurement | Equivalence |
|---|---|
| 1 foot | 12 inches |
| 1 yard | 3 feet |
| 1 mile | 5,280 feet |
| 1 gallon | 4 quarts |
| 1 quart | 2 pints |
| 1 pint | 2 cups |
| 1 pound | 16 ounces |
| 1 ton | 2,000 pounds |