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Algebra Terms
| Term | Definition |
|---|---|
| algebraic expression term | has at least one variable and one operation either a single number or variable, or numbers and variables multiplied together. Terms are usually separated by addition and subtraction signs. |
| variable | a letter that represents an unknown value (varies); can use any letter |
| coefficient | the number part of a term with variables |
| constant | a term without a variable; numbers |
| like terms | Two or more terms with the same variable or exponent |
| sum | the answer to a addition problem |
| difference | the answer to a subtraction problems |
| product | the answer to a multiplication problem |
| quotient | the answer to a division problem |
| fewer than/less than | subtraction |
| how much more | subtraction |
| percent or fraction of | multiply |
| each | divide |
| than | reverse the expression |
| commutative property | the ORDER in which numbers are added or multiplied does not change the answer |
| associative property | the way in which numbers are GROUPED when added or multiplied does not change the answer |
| identity property of multiplication | the product of any factor & 1 is the same as the factor |
| the product of any factor & 1 is the same as the factor | adding a number and its opposite will produce a sum of zero. |
| multiplicative inverse property | multiplying any number and its inverse (reciprocal) equals one |
| Associative Property | (x + 7) + 9 = x + (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 |
| Identity Property of Addition | the sum of an addend & 0 is the same as the addend |
| identity property of multiplication | the product of any factor & 1 is the same as the factor |
| additive inverse property | adding a number and its opposite will produce a sum of zero. |
| multiplicative inverse property | multiplying any number and its inverse (reciprocal) equals one |
| Associative Property | (x + 7) + 9 = x + (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 |
| Identity Property of Addition | x + 0 = x |
| Identity Property of Multiplication | 6(1) = 6 |
| Multiplicative Inverse Property | 4 x ¼ = 1 |
| Additive Inverse Property | -5 + 5 = 0 |
| Distributive Property | 4(x + 3) = 4x + 12 |
| Distributive Property | 16 + 40 = 8(2 + 5) |
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