**TI83F* AppVariable file 03/27/09, 16:31 GLPA04nav AEC13267AEFC43F88E67E1C0E88B5B83GLPA04.7GLPA041   coefficient2coefficient:ÖIt is the numerical factor of a term. constant2constant:ÖA term that does not contain a variable. Distributive Property Distributive Property:ÖTo multiply a sum by a number, multiply each addend of the sum by the number outside the parentheses. ÖFor any numbers a, b, and c, a(b + c) = ab + ac and a(b - c) = ab - ac.ÖExample: Ö2(5 + 3)=(2 x 5) + (2 x 3)Öand Ö2(5 - 3)=(2 x 5) - (2 x 3). equationmequation:ÖIt is a mathematical sentence stating that two expressions are equal. ÖExample: 3 x (7 + 8) = 9 x 5 equivalent equation;equivalent equation:ÖEquations that have the same solution. equivalent expressions¾equivalent expressions:ÖExpressions that have the same value or that have the same mathematical meaning for all replacement values of their variables. ÖExamples: 3 + 2 = 10 - 5, 2x + 3x = 5x inverse operations ³inverse operations:ÖPairs of operations that undo each other. ÖExamples: Addition and subtraction are inverse operations. Multiplication and division are inverse operations. Ö Ö Ö  like termsslike terms:ÖTerms that contain the same variables raised to the same power. ÖExample: 5x^2 and 6x^2 are like terms.   simplest form]simplest form:ÖAn algebraic expression inÖsimplest form has no like terms and no parentheses.  simplify the expressionCsimplify the expression:ÖTo use distribution to combine like terms.  solution¥solution:ÖA replacement value for the variable in an open sentence. A value for the variable that makes an equation true. ÖExample: ÖThe solution of 12 = x + 7 is 5.  solve an equation lsolve an equation:ÖThe process of finding all values of the variable that make an equation a true statement.  termjterm:ÖWhen addition or subtraction signs separate an algebraic expression into parts, each part is a term. two-step equation Ctwo-step equation:ÖIt is an equation which contains two operations.÷