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Intro to algebra
| Question | Answer |
|---|---|
| Algebraic expressions | Have at least one variable and one operation |
| Variable | A letter that represents an unknown value |
| Constant | A term without a variable |
| coefficient | the number part of a term with variables |
| Term | Either a single number or variable, or numbers and variables multiplied together. They are usually separated by addition and subtraction signs. |
| Like term | two or more terms with the same variable or exponent |
| sum | answer to an addition problem |
| difference | answer to a subtraction problem |
| product | answer to a multiplication problem |
| quotient | answer to a division problem |
| fewer than or less than | subtract and reverse |
| how much more/less | subtract |
| % or fraction of | multiply |
| each | divide |
| than/from | reverse the order |
| commutative property | the order in which numbers were added or multiplied doen't change the answer. |
| Associative property | The way numbers are grouped when adding or multiplying does not change the answer |
| identity property of addition | the sum of a addend and zero is the same as the addend |
| identity property of multiplication | the product of every factor and one is the same as the factor |
| additive inverse property | adding a number and its opposite will produce a sum of 0 |
| 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) |