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Algebra Terms
| Term | Definition |
|---|---|
| Variable | A letter that represents an unknown value |
| Constant | A term without a variable; numbers |
| Coefficient | The number part of a term with variables |
| Algebraic expressions | They have at least one variable and one operation |
| Term | A term is either a single number or 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. |
| Sum | The answer to a addition problem. |
| Difference | The answer to a subtraction problem. |
| Product | The answer to a multiplication problem. |
| Quotient | The answer to a division problem |
| Fewer than and less than | Subtract and then reverse |
| How much more/less | subtract |
| % or fraction in front of of | multiply |
| each | divide |
| than/from | reverse the order |
| associative property | The way in which numbers are grouped when added or multiplied does not change the answer. |
| communicative property | The order in which numbers are added or multiplied does not change the answer. |
| 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 1/4 = 1 |
| Additive inverse property | -5+5=0 |
| Distributive property | 4(x + 3)= 4x +12 |
| Distributive property | 16 + 40=8(2+5) |