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Algebra terms, properties, combining and simplifying

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Term
Definition
Any single number, variable, or coefficint-variable team in an algebraic expressions   Term  
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The number that multiplies a variable written right next to it in an algebraic expression 2y + 5   Coefficient  
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A letter that holds the place for a number   Variable  
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A number on its own in an algebraic expression   Constant (It's "constantly lonely")  
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Rules for combining like terms   1) Same variables 2) Same powers 3) Constants combine  
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34 + 0 = 34   The Identity Property of Addition. Any number plus zero is that number. 34 + 0 = 34 (The number "keeps its identity.")  
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17 x 1 = 17   Identity Property of Multiplication. The product of any number and one is that number (The number "keeps its identity")  
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4+(8+2) = (4+8)+2   The Associative Property of Addition (a+b)+c = a+(b+c)  
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7(2y + 5) = 14y + 35   The Distributive Property a(b+c) = a(b) + a(c)  
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6 less than r   r - 6  
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Frank is 5 years older than twice Alba's age   5 + 2a or 2a + 5  
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3 times the difference of y and 10   3(y-10)  
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17 • 0 = 0   Zero Property of Multiplication. Any number times zero is zero  
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3 + 2 + 1 = 2 + 3 + 1   Commutative Property of Addition. The numbers change places but the sum stays the same.  
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a • b = b • a   Commutative Property of Multiplication. The factors change places but the product stays the same.  
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Created by: ltorff
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