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Epressions/epuations
Chapter 7, 8, and 9
Term | Definition |
---|---|
Base- | A number used as a repeated factor. |
Factor- | A number multiplied by another number to find a product |
Difference- | The answer to a subtraction problem |
Exponent- | A number that shows how many times the base is used as a factor |
Product- | The answer to a multiplication problem |
Sum- | The answer to a addition problem |
Terms- | The parts of an expression that are separated by an addition or subtraction sign |
Algebraic expression- | An expression that includes at least one variable |
Coefficient- | A number that is multiplied by a variable |
Equivalent expressions- | Expressions that are equal to each other for any values of their variables |
Evaluate- | Expressions that are equal to each other for any values of their variables |
Like terms- | Expressions that have the same variable with the same exponent |
Numerical expression- | A mathematical phrase that uses only numbers and operation signs |
Order of operations- | A set of rules which gives the order in which calculations are done in an expression |
Quotient- | The number that results from dividing |
Variable- | A letter or symbol that stands for an unknown number or numbers |
Addition Property of Equality- | If you add the same number to both sides of an equation, the two sides will remain equal. |
Division Property of Equality- | If you divide both sides of an equation by the same nonzero number, the two sides will remain equal. |
Equation- | An algebraic or numerical sentence that shows that two quantities are equal. |
Identity Property of Addition- | The property that states that when you add zero to a number, the result is that number. |
Identity Property of Multiplication- | The property that states that the product of any number and 1 is that number. |
Inequality- | A mathematical sentence that contains the symbol <,>,=/. |
Inverse operations- | Opposite operations, or operations that undo each other, such as addition and subtraction or multiplication and division. |
Multiplication Property of Equality- | If you multiply both sides of an equation by the same number, the two sides will remain equal. |
Reciprocal- | Two numbers are reciprocals of each other if their product equals 1. |
Solution of an equation- | A value that, when substituted for the variable, make an equation true. |
Solution of inequality- | A value that, when substituted for the variable, makes an inequality true. |
Subtraction Property of equality- | If you subtract the same number from both sides of an equation, the two sides will remain equal. |