January, 2015 - TheMathWorld

Equations Formulas

Equations Formulas Real numbers: a, b, c, p, q, u, v Solutions: x1, x2, y1, y2, y3 1. Linear equation in One Variable Ax + b = 0 , x…

Logarithms formulas Positive real numbers: x, y, a, c, k Natural number: n 1. Definition of logarithm y = x if and only if x = ay , a >…

Algebra Roots Formulas Bases: a, b Powers (rational numbers): n ,m a , b ≥ 0 for even roots (n =2k, k N) 1. 2. 3. 4. 5. 6. 7.…

Algebra Powers Formulas Bases (positive real numbers): a,b Powers (rational numbers): n ,m 1. am an = am+n 2. = am-n 3. (ab)m = ambm 4.…

Algebra Factoring Formulas Real numbers: a, b, c Natural number: n 1. a2 –b2 = (a+b)(a-b) 2. a3 –b3 = (a-b)( a2 +ab +b2) 3. a3 +b3 =…

Algebra Product Formulas Real numbers: a , b, c Whole numbers: n , k 1. (a-b)2 = a2 -2ab +b2 2. (a+b)2 = a2 +2ab +b2 3. (a-b)3 = a3-3a2b…

solve for the indicated latter. B = 5c, for c The solution is c = ? Solution:- b = 5c Divide both sides by 5 c=

Find the slope, if it exists, of the line containing the pair of points. (2,1) and (10,-8) The slope m = ? Solution:- When two points (x1,y1)…

5 > 2x + 4 or 6 ≤ -3x +2 Solution:- 5>-2x+4 or 6≤-3x+2 5-4 > -2x or 6-2≤ -3x 1>-2x or 4≤-3x x>-1/2 or x≤-4/3

Graph the line containing the given pair points and find the slope. (2,6), (-4,-2) Find the slope of the line. m = ? Solution:- Equation of line…