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Solving Equations
Ch. 9-1, 9-2, 9-4, 9-5, 9-6, 9-7
| Question | Answer |
|---|---|
| Distributive Property | combines addition and multiplication 2(7+4)=2x7+2x4 |
| Commutative Property | order in which numbers are added or multiplied does not change the sum or product 4+3=3+4 |
| Associative Property | the way numbers are grouped when added or multiplied does not change the sum or product (3+4)+5=3+(4+5) |
| Additive Identity | the sum of any number and 0 is the number 8+0=8 |
| Multiplicative Identity | the product of any number and 1 is the number 7x1=7 |
| Inverse Operations | undo each other, for example 1) to solve an addition equation, use subtraction 2) to solve a multiplication equation, use division |
| Subtraction Property of Equality | solve an equation by subtracting the same number from each side |
| Addition Property of Equality | solve an equation by adding the same number to each side |
| Two-Step Equations | to solve, work backwards using the reverse of the order of operations |
| Function Rule | describes the relationship between each input and output |
| Function Table | used to oraganize results |
| Coefficient | Numerical factor of a term that contains a variable |
| Function | a relation where each element of the input is paired with exactly one element of the output according to a specific rule |