IBA math formula

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IBA math formula

  1. 1. IBA Math FormulasAlgebra FormulasExponential Equations: 1. xn * xm = x(n + m) 2. xn/ xm = x(n – m) 3. (x/y)n = (xn)/(yn) 4. xn*yn = (xy)n 5. (xy)z = xyz 6. x-n = 1/(xn) 7. 1n = 1 8. x0 = 1 9. 0n = 0, except 00 = 1 or undefinedOther: 1. Distance = Rate*Time 2. Wage = Rate*TimeArithmetic FormulasPercent: 1. Percent Change, as a decimal = (New - Old)/Old 2. N = (1 + G)O [N = New Value, 0 = Old Value, G = Growth Rate as decimal]Number Properties: 1. (Odd)(Even) = Even 2. (Odd)(Odd) = Odd 3. (Even)(Even) = Even 4. (Odd) ± (Even) = Odd 5. (Odd) ± (Odd) = Even 6. (Even) ± (Even) = Even 7. (Positive)(Positive) = Positive 8. (Positive)(Negative) = Negative 9. (Negative)(Negative) = Positive
  2. 2. 10. (Positive)/(Negative) = Negative 11. (Positive)/(Positive) = Positive 12. (Negative)/(Negative) = PositiveGeometry FormulasAngles: 1. Sum of Interior Angles of Polygon = (n-2)*180 [n = number of sides of a polygon] 2. Central Angle = 2*(Inscribed Angle)Area: 1. Square: A = a2 2. Rectangle: A = lw 3. Parallelogram: A = bh 4. Trapezoid: A = 0.5(a+b)h, where a and b are the lengths of the parallel sidesCircles: 1. Area: A = πr2 [π = pi = 3.1415] 2. Circumference: C = 2πr 3. Central Angle = 2(Inscribed Angle) 4. Area of Sector = (x/360)πr2Perimeter: 1. Square: P = 4l 2. Rectangle: P = 2(w + l) 3. Parallelogram: P = 2(a + b), where a and b are the lengths of the non-parallel sides 4. Circle: P = 2πrTriangles: 1. Area: A = 0.5bh 2. Pythagorean Theorem: A2 + B2 = C2[where A = one leg, B = the other leg, C = hypotenuse]Volume: 1. Cube: V = a3 where a is the length of a side 2. Rectangular Solid: V = hwl 3. Cylinder: V = πr2h

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