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algebra terms
| Term | Definition |
|---|---|
| varible | a letter that represents an unknown value |
| constant | a term without a variable; numbers |
| coefficient | the number part of a term with varible |
| term | is either a single number or variable, or number and variable multiplied together. usually separated by addition and subtraction signs |
| like terms | two or more terms with the same variable or exponent |
| algebraic expressions | have at least one variable and one operation |
| sum | answer to a addition problem |
| quotient | answer to a division problem |
| product | answer to a multiplication problem |
| difference | answer to a subtraction problem |
| % or fraction of | multiply |
| altogether | adding |
| how much more/less | subtraction |
| less than | subtraction |
| each | division |
| per | division |
| quantity | use parenthesis to create a group |
| than/from | reverse the order of 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 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 0 |
| multiplication inverse property | multiplying any number and its inverse (reciprocal) equals 1 |
| associative property | (x+7)+9=x+(7+9) |
| associative property | 4(3x9)=(4x3)9 |
| communicative property | (x+7)+9+9+(7+x) |
| communicative property | 5x6=6x5 |
| identity property of addition | x+0=x |
| identity property of multiplication | 6(1)=6 |
| multiplication inverse property | 4x 1\4=1 |
| additive inverse property | -5+5=0 |
| distributive property | 4(x+3)=4x+12 |
| distributive property | 16+40=8(2+5) |