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7th Math C5 Savvas

Pruit 7th Math C5 Savvas

TermDefinition
isolate the variable when solving equations, means to get a variable with a coefficient of 1 alone on one side of an equation by using the properties of equality and inverse operations
addition property of equality the same number can be added to both sides of an equation and the sides remain equal
addition property of inequality the same number can be added to both sides of an inequality and the sides remain equal
algebraic equation a mathematical sentence that consists of variables, numbers, operation symbols, and an equal sign
algebraic expression a mathematical phrase that consists of variables, numbers, and operation symbols.
area model a visual, rectangular diagram used to solve math problems by breaking numbers down into smaller, more manageable parts.
associative property of addition (a + b) + c = a + (b + c)
bar diagram a way to represent part to whole relationships
coefficient the number part of a term that contains a variable
constant a term that only contains a number
commutative property of addition a + b = b + a
common factors a number which is a factor of two or more given numbers
distributive property a(b + c) = ab + ac
division property of equality both sides of an equation can be divided by the same nonzero number and the sides remain equal
division property of inequality both sides of an inequality can be divided by the same nonzero number and the sides remain equal
equation a mathematical sentence that includes an equal sign to compare two expressions
equivalent expression expressions that always have the same value
expression a mathematical phrase that can involve variables, numbers, and operations
inequality a mathematical sentence that uses less than, less than/equal to, greater than, greater than/equal to, or not equal symbols to compare two quantities
integer the set of positive whole numbers, their opposites, and zero
inverse relationships between operations that "undo" each other, such as addition and subtraction, or multiplication and division (except multiplication or division by zero)
like terms terms that have identical variable parts
multiplication property of equality both sides of an equation can be multiplied by the same nonzero number and the sides remain equal
multiplication property of inequality both sides of an inequality can be multiplied by the same nonzero number and the sides remain equal
rational a number that can be written as a fraction where the numerator is a whole number and the denominator is a positive nonzero number
reciprocals two numbers are called this when their product is 1
simplify to rewrite an expression, equation, or fraction into a shorter, less complicated form without changing its overall value
subtraction property of equality the same number can be subtracted from both sides of an equation and the sides remain equal
subtraction property of inequality the same number can be subtracted29 from both sides of an inequality and the sides remain equal
variable a letter that represents an unknown value
 



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