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Flashcards by Catherine Rusinek, updated more than 1 year ago
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Created by irenepapers
about 9 years ago
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Copied by Catherine Rusinek
about 5 years ago
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| Question | Answer |
| Ratios | a comparison of two quantities (written as fractions) |
| Ratios #2 | Ratios can only form a proportion if they are equivalent. |
| Equivalent Ratios | ratios that can be simplified to exactly the same value |
| Equivalent Ratios #2 | Equivalent ratios are equal to each other. |
| How to Check if Two Ratios Form a Proportion (or are Equivalent): | Check to see if the cross products are equal. |
| If Two Ratios are Equivalent: | 1) a divided by b = c divided by d 2) Both ratios have the same simplified value. 3) The cross products are equal. |
| Rates | a comparison of two quantities with units (usually has something to do with change) |
| Unit Rate | the basic rate that all the other rates are equivalent to |
| Unit Rate #2 | The unit rate keeps the rate of change constant. |
| Unit Rate #3 | The denominator is always 1, and they all have a common denominator. |
| Equivalent Rates | rates that represent the same value, but look different |
| Equivalent Rate #2 | The equivalent rate looks different, but has the same value. |
| Equivalent Rate #3 | The equivalent value has either the numerator or the denominator unknown. |
| Equivalent Rate #4 | For the equivalent rate, the basic rate stays the same, but has new conditions. |
| Rate Table | summary of all the equivalent rates in a table |
| Rate Table #2 | All the rates in a rate table are equivalent and can be used to write problems. |
| Rate Table #3 | Since all the rate tables are equivalent, and can be used to write proportions, the rate table represents a proportional relationship. |
| Independent Variable | input, x |
| Dependent Variable | output, y |
| Variable | a place holder (EX: m, n, x, v) |
| Constant | stands alone |
| Coefficiant | multiplies a variable (EX: 2x, 3n, 4m, 8d the number before the variable) |
| ***Proportional Relationship Equation | Dependent Variable = Unit Rate x Independent Variable OR **** y = cx **** |
| Percent Proportion | part/whole = x/100 |
| Percent Proportion #2 | The ratio of part of a number to the whole number is equivalent to the ratio of the percent value to 100. |
| Percents | a ratio of a number to 100 |
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