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### 24 Cards in this Set

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 algebra consists of solving equations or manipulating expressions which contain symbols (usually letters, like x, y or z) as well as numbers Associative Property of Addition When you add any three real numbers, the grouping (or association) of the numbers does not affect the result. a + (b + c) = (a + b) + c coefficient the numeral that is multiplied by the variables. Sometimes it is referred to as the numerical coefficient Commutative Property of Addition The order in which you add two numbers does not affect the result. a + b = b + a Commutative Property of Multiplication The order in which you multiply two numbers does not affect the result. ab = ba constant If there is no variable in the term, then that terms is called the constant term. defining a variable the first step in writing an equation choosing a variable and a quantity for the variable to represent Distributive Property For any numbers a, b, and c: a(b + c) = ab + ac and (b + c)a = ba + ca equation a number sentence that says one expression is equal to another. It is formed by placing an equals sign between the two expressions. evaluate Finding the value of an expression is called evaluating the expression. identity an equation that is true for all values of the variable. If you try to solve the equation on the right, you find that 0=0. Identity Property of Addition When 0 is added to any real number, the sum is equal to the given number. a + 0 = a and 0 + a = a Identity Property of Multiplication When you multiply any given real number by 1, the product is equal to the given number. a*1 = a and 1*a = a integer a positive whole number (+1, +2, +3..), a negative whole number ( -1,-2,-3...), or zero. It is not a decimal number. like terms Two terms in an expression are called like terms (or similar terms) if they have the same variable(s) raised to the same powers. Multiplicative Property of Zero the product of a number and zero is zero a*0 = 0 and 0*a = 0 an expression is in simplest form when... it has no like terms and no grouping symbols solve Finding the number that can be substituted for the variable that makes the sentence true substitute replace a variable with a constant. term numbers or variables that are added to or subtracted from each other variable a letter that represents a number. (It can represent different numbers at different times, but it represents the same number each place it appears in an expression.) Associative Property of Multiplication When you multiply any three real numbers, the grouping (or association) of the numbers does not affect the result a(bc) = (ab)c expression a collection of numbers, operation signs, and symbols of inclusion (parentheses, brackets, radical sign, vinculums). An expression does not have an equal sign. inequality a mathematical sentence that contains greater than or less than symbols