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Leah Ch.2
| Question | Answer |
|---|---|
| Commutative Property | a+b=b+a and ab=ba order doesn't matter |
| Associative Property | a+ (b+c) = (a+b)+c and a(bc)= (ab)c grouping doesn't matter |
| Identity Property | a+0=a and 1(a)=a The number added or multiplied that allows me to get back to the original # |
| Distributive Property | a(b+c)= ab+ac |
| term | any number or variable connected by the addition or multiplication symbol |
| Like terms | terms that contain the same variable(s) |
| Variable term | any term that contains a variable |
| Numeric term | any term only made up of numbers |
| Constant | a term that has no variable |
| Open sentence | an equation that contains a variable |
| Inequality | mathematical statement containing <,>, ≠, ≤,≥ |
| Open Circle | number not included in our answer <,> |
| Closed circle | the number is included in our answer =, ≤,≥ |
| Solving equations | Inverse of adding/subtracting and inverse of multiplication/dividing |
| Solving inequalities | when we multiply or divide by a negative number, we reverse the inequality sign |
| -x means | -1x |
| x means | 1x |
| 2x-3y+5-5x+2y-8 | 2x+(-5x) -3y+2y 5-8 -3x -1y -3 -3x-1y-3 |
| 3(2x-4) | 3(2x) 3(-4) 6x-12 |
| -(2x-4) | -1(2x) -1(-4) -2x+4 |
| 3(2x-4)-3(x-2) | 3(2x) 3(-4) -3(1x) -3(-2) 6x-12-3x+6 3x-6 |