1. IBA Math Formulas
Algebra Formulas
Exponential 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 undefined
Other:
1. Distance = Rate*Time
2. Wage = Rate*Time
Arithmetic Formulas
Percent:
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. 10. (Positive)/(Negative) = Negative
11. (Positive)/(Positive) = Positive
12. (Negative)/(Negative) = Positive
Geometry Formulas
Angles:
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 sides
Circles:
1. Area: A = πr2 [π = pi = 3.1415]
2. Circumference: C = 2πr
3. Central Angle = 2(Inscribed Angle)
4. Area of Sector = (x/360)πr2
Perimeter:
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 = 2πr
Triangles:
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