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

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Term
Definition
Example
show 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  
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LIKE TERMS   show 7x and 5x  
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show A mathematical sentence in which two expressions are set equal to each other.   2x + 3 = 5  
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INVERSE   Opposite.   show
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show 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.  
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ASSOCIATIVE PROPERTY   A property of real numbers that allows the changing of the grouping of addends or factors without changing the result.   show
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show 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.  
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show A letter that represents a quantity or quantities.   x, y, t, n  
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COEFFICIENT   show For 3x, x is the variable, and 3 is the coefficient.  
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ADDITIVE INVERSE PROPERTY   The sum of any number and its opposite is zero.   show
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MULTIPLICATIVE INVERSE PROPERTY   The product of a number and its reciprocal is 1.   show
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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.   show
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SUBTRACTION PROPERTY OF EQUALITY   show For x + 2 = 3 - 4x, x can be subtracted from both sides of the equation without changing the value of it.  
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MULTIPLICATION PROPERTY OF EQUALITY   show For 3/5y = 10, 5/3 can be multiplied on each side of the equation without changing the value of it.  
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show 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.  
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INEQUALITY   show 3x + 5 < -52  
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Created by: terrellmath
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