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Algebra Terms
math
| Term | Definition |
|---|---|
| Algebraic expressions | They have at least one variable and one operation |
| Variable | is a letter that represents an unknown value (varies); can use any letter |
| Constant | a term without a variable; numbers |
| Coefficient | the number part of a term with variables |
| Term | is either a single number or a variable, or numbers and variables mixed together. Terms are usually separated by addition and subtraction signs |
| Like Terms | two or more terms with the same variable or exponent. |
| Sum | answer to an addition problem |
| difference | answer to an subtraction problem |
| product | answer to an multiplication problem |
| quotient | answer to a division problem |
| less than / fewer than | subtract and reverse |
| how much more/ less | subtract |
| % or fraction of | multiply |
| each | divide |
| Associative property | added or multiplied, you can group numbers in any way and get the same answer |
| Commutative property | you can change orders of the numbers in different ways and still get the same answer. |
| Identity property of add | the sum of a addend and 0 is the same as the addend |
| identity property of multi | the product of any factor and 1 is the same as the factor |
| Add inverse | adding a number and its opposite will equal 0 |
| Multi inverse | multiplying any number and its inverse will equal one. |
| (x+7) + 9 = x + (7 + 9) | Associative property |
| 4(3 x 9) = (4 x 3)9 | Associative property |
| (x + 7) + 9 = 9 + (7+ x) | Commutative property |
| 5 x 6 = 6 x 5 | Commutative property |
| x + 0 = x | identity property of addition |
| 6(1) = 6 | Identity property of multiplication |
| 4 x 1/4 =1 | multiplicative inverse |
| -5 + 5 = 0 | additive inverse property |
| 4(x + 3) = 4x + 12 | distributive property |
| 16 + 40 = 8(2+5) | distributive property |