Rectangle: A = length Γ width
Do not panic about memorizing the geometry formulas. The GED Math test actually provides you with a formula sheet on screen. I had a student spend three days trying to memorize the surface area of a cone. I told her to stop. Your job isn't to memorize the formula; your job is to know how to plug numbers into it when they hand it to you.
Triangle: A = Β½ Γ base Γ height
Circle: A = Ο Γ rΒ² (Ο β 3.14)
Parallelogram: A = base Γ height
Trapezoid: A = Β½ Γ (bβ + bβ) Γ height
Rectangle: P = 2(l + w)
Triangle: P = a + b + c
Circle: C = 2 Γ Ο Γ r (or Ο Γ d)
Rectangular prism: V = l Γ w Γ h
Cylinder: V = Ο Γ rΒ² Γ h
Cone: V = β Γ Ο Γ rΒ² Γ h
Sphere: V = β΄ββ Γ Ο Γ rΒ³
Pyramid: V = β Γ base area Γ h
Mean: Sum of values Γ· Number of values
Median: Middle value (sorted)
Mode: Most frequent value
Range: Highest β Lowest
m = slope: (yβ β yβ) / (xβ β xβ)
b = y-intercept: where line crosses y-axis
Parallel lines: same slope
Perpendicular: slopes are negative reciprocals
Order of operations: PEMDAS
Absolute value: |β5| = 5
Exponents: a^m Γ a^n = a^(m+n)
Square root: β(a Γ b) = βa Γ βb
% = Part / Whole Γ 100
% change: (New β Old) / Old Γ 100
Cross multiply: a/b = c/d β ad = bc
Discount: Price Γ (1 β discount rate)
Tax: Price Γ (1 + tax rate)
Distributive: a(b + c) = ab + ac
FOIL: (a+b)(c+d) = ac + ad + bc + bd
Quadratic formula: x = (βb Β± β(bΒ²β4ac)) / 2a
Pythagorean theorem: aΒ² + bΒ² = cΒ²
| 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 |
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