| A | B |
|---|
| Properties | statements that are true for any number or variable |
| Additive inverse property | a + -a =0, when you add any number and its inverse your sum is zero |
| Additive identity property | the sum of any number and zero is that same number. a+0=a |
| Commutative property | the order in which two numbers are added or multiplied does not change their sum or product. a+b=b+a; ab=ba |
| Associative property | the way in which numbers are grouped deos not change their sum or product. (2+3)+5=2+(3+5) |
| Multiplicative identity property | the product of any number and one is that same number. a*1=a |
| Distributive property | a(b+c)=ab+ac. to multiply a sum by a number, multiply each addend of the sum by the number outside the parentheses. |
| Multiplicative property of zero | the product of any nubmer and zero is zero. a*0=0 |
| Equivalent expressions | expressions that have the same value. x+x+2+3=2x+5 |
| Algebraic expression | a combination of variables, numbers, expressions, and at least one operation. NO equal sign. 2x+7 |
| Algebraic equation | a combination of variables, numbers, expressions, at least one operation with an equal sign. 5x+17=-12 |
