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Algebra terms
Algebra definitions
| Term | Definition |
|---|---|
| Algebraic Expressions | Algebraic expressions have at least one variable and one operation. |
| Variables | Variable is a letter that represents an unknown value (varies); can use any letter. |
| Constants | Constant is a term without a variable; numbers. |
| Coefficients | Coefficient is the number part of a term without variables. |
| Terms | 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 are called like terms. |
| Sum | answer to a addition problem |
| difference | answer to a subtraction problem |
| product | answer to a multiplication problem |
| quotient | answer to a division problem |
| fewer than/less than | Equal subtract and reverse |
| How much more or how much less | Equal subtraction |
| percent or fraction of | Equal multiply |
| each | Equal divide |
| than/from | mean to reverse the order |
| Associative Property | In 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 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 equals one. |
| Associative Property | (x+7)+9=x+(7+9) |
| Associative Property | 4(3x9)=(4x3)9 |
| Commutative Property | (x+7)+9=(+(7+x) |
| Commutative Property | 5x6=6x5 |
| Identity Property of Addition | x+0=x |
| Identity Property of Multiplication | 6(1)=6 |
| Multiplicative Inverse Property | 4x1/4=1 |
| Additive Inverse Property | -5+5=0 |
| Distributive Property | 4(x+3)=4x+12 |
| Distributive Property | 16+40=8(2+5) |