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6.7
Test Review
| Question | Answer |
|---|---|
| equivalent Ratios | ratios that have the same value can be found by scaling up, scaling down, drawing a table, tape diagram, or double number line |
| ratio | a comparison of two quantities using division can be written 3 ways 3:2, 3 to 2 or 3/2 ORDER is important! |
| scaling up | creating an equivalent ratio by multiplying the top and bottom of a fraction by the same number |
| scaling down | creating an equivalent ratio by dividing the top and bottom of a fraction by the same number |
| finding equivalent fractions using a tape diagram | Draw one box for each part of the ratio. Use the information given to determine how may go in each box. |
| finding equivalent fractions using a double number line | Draw two number lines and use the numbers given in the ratio as the scale for each number line. Numbers that line up are equivalent ratios to the original ratio. |
| finding equivalent fractions in a table | Draw a table and use the numbers given in the ratio as the scale for each row/column. Numbers that line up are equivalent ratios to the original ratio. |
| Graphing a ratio Use the information given to create a graph (the image is the graph for this scenario) | 10 oz of peaches is needed for 4 servings. Use 4 for the scale on the x-axis for the 4 servings Use 10 for the scale on the y-axis for the 10 oz. or peaches. Count by 4s on the x axis for your points and 10s on the y axis. |
| Writing an equation from a ratio graph | Divide the y-axis number by the x-axis number to find the number for the equation. Ex: 20/2 = 10, equation is y = 10x |
| Writing an equation from a ratio table | Divide the 2nd number by the first number to find the number for the equation. Ex. 6/2 = 3, equation is r=3g (r= red, g= green) |
| Writing ordered pairs from a table or graph | Write the numbers in each row in order as an ordered pair. (3, 2) |
| proportion | an equation that states that two ratios are equal |
| Solving a Proportion | To solve a proportion, cross multiple and solve the equation for the unknown. |
| unit rate | a rate with a denominator of 1, found by dividing |
| how to calculate better buy | find the unit prices by dividing money by number and select the lower unit price |
| converting between units | horse to fly = multiply (large to small) fly to horse, divide of course= divide (small to large) |