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Expressions-Equation
chapter 7-8-9
| Term | Definition |
|---|---|
| algebraic expression | An expression that includes at least one variable |
| base (arithmetic) | A number used as a repeated factor |
| coefficient | A number that is multiplied by a variable |
| difference | The answer to a subtraction problem |
| equivalent expressions | Expressions that are equal to each other for any values of their variables |
| evaluate | To find the value of a numerical or algebraic expression |
| exponent | A number that shows how many times the base is used as a factor |
| factor | A number multiplied by another number to find a product |
| like terms | Expressions that have the same variable with the same exponent |
| numerical expressions | 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 |
| product | The answer to a multiplication problem |
| quotient | The number that results from dividing |
| sum | The answer to an addition problem |
| terms | The parts of an expression that are separated by an addition or subtraction sign |
| 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 <, >, ≤, ≥, or ≠ |
| 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, makes an equation true. |
| solution of an 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. |
| variable | A letter or symbol that stands for an unknown number or numbers |