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Created by irenepapers
over 9 years ago
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Copied by ivy thecacatus
almost 8 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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