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Algebra Terms
| Term | Definition |
|---|---|
| Constant | A term without a variable; numbers |
| Variable | a letter that represents an unknown value (varies); can use any letter |
| Coefficient | The number part of a term with variables |
| Term | Either a single number of variable, or numbers and variables multiplied together. Terms are usually separated by addition and subtraction signs. |
| Like Terms | Two or more terms with the same variable or exponent |
| algebraic expression | an expression which is made up of variables and constants, along with algebraic operations |
| Sum | the answer to a addition problem |
| altogether | addition |
| Difference | The answer to a subtraction problem |
| less than/fewer than | subtraction and reverse |
| Product | the answer to a multiplication problem |
| Percent or fraction of | multiply |
| Quotient | the answer to a division problem |
| per/each | division |
| than/from | reverse the order |
| Associative Property | The way in which numbers are grouped when added or multiplied does not change the answer |
| Commutative Property | The order in which numbers are added or multiplied does not change the answer |
| Identity Property of Addition | The sum of an addend and 0 is the same as the addend |
| Identity Property of Multiplication | The product of any factor and one is the same as the factor |
| Additive Inverse Property | Adding the number and its opposite will produce a sum of zero |
| Multiplicative Inverse Property | Multiplying any number and its inverse equals one |
| Associative Property | (x + 7) + 9 = x + ( 7+9) |
| Associative Property | 4(3 x 9)= (4 x 3)9 |
| Commutative | (x+7) + 9 = 9+ ( 7+ x) |
| Commutative | 5 x 6= 6 x 5 |
| Identity Property of Addition | x + 0 = x |
| Identity Property of Multiplication | 6(1)=6 |
| Additive Inverse Property | Adding a number and its opposite will produce a sum of zero |
| Multiplicative Inverse Property | Multiplying a number and its reciprocal equals one |
| Associative Property | (x+7) + 9= +(7+9) |
| Associative Property | 4(3 x 9)= (4 x 3)9 |
| Commutative Property | (x+7)+9= 9 + (7+x) |
| Commutative Property | 5 x 6= 6 x 5 |
| Multiplicative Inverse Property | 4 x 1/4 = 1 |
| Additive Inverse Property | -5+5=0 |
| Distributive Property | 4(x +3)= 4x +12 |
| Distributive Property | 16+40 = 8(2+5) |