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Unit #5 Vocabulary

Terrell-UNIT5:SOLVING EQUATIONS: Terms re: solving equations (4/06).

TermDefinitionExample
EXPRESSION A symbol or combination of symbols that represent a mathematical quantity. NOTE: The symbols can be numbers or variables, and there are NO EQUAL SIGNS within an expression. 2x + 3
LIKE TERMS Terms that contain the same variables, with the corresponding (matching) variables having the same exponent. 7x and 5x
EQUATION A mathematical sentence in which two expressions are set equal to each other. 2x + 3 = 5
INVERSE Opposite. Addition and subtraction are inverses of each other.
IDENTITY An equation that is true for all real numbers. 3x - 3 = 2x + (x - 3) is an identity, because it will simplify to the same expression on each side of the equation and work for all real numbers.
ASSOCIATIVE PROPERTY A property of real numbers that allows the changing of the grouping of addends or factors without changing the result. For 2 + (3 + 5) = (2 + 3) + 5, both expressions have a sum of 10.
DISTRIBUTIVE PROPERTY A property of real numbers that allows each term of an expression inside a set of parentheses to be multiplied by each term of an expression outside of the parentheses without changing the result. For 2(3 + 5) = 2 * 3 + 2 * 5, both expressions would equal 16.
VARIABLE A letter that represents a quantity or quantities. x, y, t, n
COEFFICIENT The numerical factor of an algebraic term (i.e. the number multiplied by a variable). For 3x, x is the variable, and 3 is the coefficient.
ADDITIVE INVERSE PROPERTY The sum of any number and its opposite is zero. 2 + (-2) = 0; therefore, 2 and -2 are additive inverses.
MULTIPLICATIVE INVERSE PROPERTY The product of a number and its reciprocal is 1. 5/3 * 3/5 = 1; therefore, 5/3 and 3/5 are multiplicative inverses.
ADDITION PROPERTY OF EQUALITY The property of real numbers which states that adding the same term to both sides of an equation will keep the each expression equivalent and the equation balanced. For x + 2 = 3 - 4x, 4x can be added to both sides of the equation without changing the value of it.
SUBTRACTION PROPERTY OF EQUALITY The property of real numbers which states that subtracting the same term from both sides of an equation will keep the each expression equivalent and the equation balanced. For x + 2 = 3 - 4x, x can be subtracted from both sides of the equation without changing the value of it.
MULTIPLICATION PROPERTY OF EQUALITY The property of real numbers which states that multiplying the same term on both sides of an equation will keep the each expression equivalent and the equation balanced. For 3/5y = 10, 5/3 can be multiplied on each side of the equation without changing the value of it.
DIVISION PROPERTY OF EQUALITY The property of real numbers which states that dividing both sides of an equation by the same term will keep the each expression equivalent and the equation balanced. For 35f = 105, 35 can be divided into each side of the equation without changing the value of it.
INEQUALITY A mathematical sentence that expresses the relationship between two expressions using the symbols <, >, (< or equal to), or (> or equal to). 3x + 5 < -52
Created by: terrellmath