The Distributive Property Algebra 1-7

The Distributive Property For every real number a, b, and c a(b + c) = ab + ac (b + c)a = ba + ca a(b – c) = ab – ac (b – c)a = ba – ca ex. 5(20 + 6) = 5(20) + 5(6) (20 + 6)5 = 20(5) + 6(5) 9(30 – 2) = 9(30) – 9(2) (30 – 2)9 = 30(9) – 2(9)

Term Constant Coefficient Like Terms a number, variable or the product of a number and one or more variables Constant a number that has no variable Coefficient the numerical factor of a term Like Terms have exactly the same variable factors