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Equations Review
Equations, variables and inequalities
Term | Definition |
---|---|
inequality | two expressions that are not equal to each other, < or > |
equation | two expressions that are equal to each other, has an = sign |
evaluate | to substitute a number in for a variable, then solve |
like terms | has the same variable so they can be combined (example: 3x + 15x) |
PEMDAS | order of operations = parentheses, exponent, multiply or divide, add or subtract |
balanced equation | the variable must be alone or isolated on one side of the equation |
inverse operation | opposite operation, add/subtract or multiply/divide, used to isolate the variable |
dependent variable | represented by the y-coordinate, it is dependent on the independent variable, so it always changes (ex. total cost) |
independent variable | represented by the x-coordinate, it is fixed or constant so it stays the same (ex. time, number of items) |
≤ | less than or equal to |
≥ | greater than or equal to |
6t+19s-10s-2t (combine the like terms) | 9s+4t |
17 = x +4 (do inverse operation to solve) | x = 13 |
15x = 105 (do inverse operation to solve) | x = 7 |
c-12 > 30, if c = 13 (substitute the number in for the variable, solve, is the statement true?) | 1 is not > 30, false |
10 + p ≥ 20, if p = 15 (substitute the number in for the variable, solve, is the statement true?) | 25 ≥ 20, true |