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Introduction to Algebra Vocabulary

AB
Sumanswer to addition problem
Differenceanswer to subtraction problem
Productanswer to multiplication problem
Quotientanswer to division problem
Standard Formthe normal way to write a number
Expanded FormNumber written out as a sum
Commutative Property of Additiona + b= b + a
Commutative Property of Multiplicationab = ba
Associative Property of Addition(3+4)+7 = 3 +(4+7)
Associative Property of Multiplication(a*b)*c = a*(b*c)
Distributive Property3(4 + 9) = (3*4)+(3*9)
Identity Property of Additiona + 0 = a
Identity Property of Multiplicationa * 1 = a
Inverse Property of AdditionWhen a number is added to its opposite, the sum is 0
Dividendthe number that is divided
Divisorthe "divided by" number
multiplea number that can be evenly divided by a number, n
factora number that is multiplied (or can evenly divide a given number)
addenda number that is added
Inverse Property of MultiplicationWhen a number is multiplied by its reciprocal, the product is 1
variablea letter that stands for an unknown number
constanta value that does not change
Expressiona combination of variable(s) and constant(s) that represents a value
Evaluatesubstitute a given value for a variable, then simplify
Addition Property of Equalityif a = b, then a + c = b + c
Multiplication Property of Equalityif a = b, then ac = bc
OperationsAdd, subtract, multiply or divide
SubtractionOpposite of addition
DivisionOpposite of multiplication
AdditionOpposite of subtraction
MultiplicationOpposite of division
Inverse OperationArithmetic operation that we use to "undo" another operation
Greatest Common Divisor (GCD)The largest number that will evenly divide two (or more) given numbers
Least Common Multiple 9LCM)the smallest number that appears on the "times table" of two (or more) given numbers
PrimeA natural (counting) number that has exactly two factors, itself and and 1
CompositeA natural (counting) number that has more than two factors
Simplest formA fraction in which the numerator and denominator have no common factor, other than 1
Improper fractionA fraction in which the absolute value of the numerator is greater than that of the denominator
Repeating decimalA decimal with a fixed block of digits that repeats forever
Terminating decimalA decimal that ends in zero after a certain place
Proper fractionA fraction in which the absolute value of the numerator is less than that of the denominator


Algebra 1
Sam H. Lawson Middle School

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