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6.6 Equations
Test Review
| Term | Definition |
|---|---|
| To determine if a value makes an equation true | Substitute in the value, solve, see if equal True Ex. 6x = 108 if x = 18, 6(18) = 108, so yes False Ex. x-19 = 81 if x = 98, 98-19 = 70, so no |
| Solve 1-step equations | Do the opposite operation to both sides to get x by itself (isolate) |
| To undo adddition | subtract |
| To undo subtraction | add |
| To undo muliplication | divide |
| To undo division | multiply |
| Solve 1-step equation with addition | Subtract from both sides |
| Solve 1-step equation with subtraction | Add to both sides |
| Solve 1-step equation with multiplication (a number next to a letter or coefficient) | Divide both sides |
| Solve 1-step equation with division (remember, a fraction is a division problem!) | Multiply both sides |
| Independent Variable | x-axis, not affected by dependent variable Ex. number of people, time |
| Dependent Variable | y-axis, depends on the independent variable Ex. cost, test scores |
| Graphing inequalities | 1. arrow less than= left, greater than = right 2. circle or equal to= filled in, not or equal to= open |
| at least, minimum inequality | greater than or equal to |
| at most, maximum inequality | less than or equal to |
| combine like terms | Add or subtract terms that have the same variable and exponent |
| Write and solve an equation from a word problem | 1. Define the variable- let x = __________ 2. Write an equation based on the word problem 3. Solve the equation 4. Check that your answer made sense |