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# 7.1

### Unit 1 Test Review

TermDefinition
ratio a comparison of two quantities using division, which can be written 3 ways ex. 5/7, 5:7, 5 to 7
rate a ratio that compares two quantities measured in different units ex. 20 miles in 2 hours
proportion an equation that states that two ratios are equal to each other 1/4 = 3/12
equivalent Ratios ratios that have the same value 1/2 = 2/4
cross products the product of numbers on the diagonal when comparing two ratios are equal
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
how to find equivalent ratios 1. divide each fraction and see which ones are equal as decimals OR 2. Scale up or scale down OR 3. use cross products to see if they are equal
How to solve a proportion with a missing value 1. use cross products to write and solve an equation OR 2. scale up or scale down
unit rate a rate that has a denominator of 1 20 miles per (1) hour
how to calculate a unit rate divide the numerator by the denominator 20 miles/2 hours = 10 miles per hour
multiply fractions Multiply the tops, then multiply the bottoms, always reduce your answer
Multiply Mixed Numbers Change them into improper Fractions, then use the rules for Multiplying Fractions
divide fractions change into improper fractions, then multiply by the reciprocal (keep, change, flip)
solve a word problem with proportions 1. read the problem carefully 2. set up a proportion carefully- lining up like units and making the unknown x 3. use cross products to write and solve an equation to find your missing infomation
how to calculate best buy divide price by number of both items and compare to see which unit rate is lower
find the missing side of a similar figure 1. write a proportion, making sure to line up information correctly 2. use cross products to write and solve and equation for the missing side OR 1. Scale up or scale down
Use a proportion to solve a scale problem with missing information 1. write a proprotion (using the scale as the first rate), making sure to line up information correctly 2. use cross products to write and solve and equation for the missing information OR 1. Scale up or down if given a scale with 1
Perimeter of a rectangle add all sides together (remember there are 4 sides)
perimeter of a rectangle under a scale factor multiplied by the scale factor
area of a rectangle A=lw units are squared
area of a rectangle under a scale factor multiplied by the scale factor squared
proportional when two quantities have a constant rate or COP
non-proportional when two quantities DO NOT have a constant rate or COP
constant of proportionality the constant ratio between two quantities, found by dividing y by x
proportions in tables divide y/x and see if they are all the same
y = kx the formula used for proportional relationships, where k = the constant rate (COP)
origin ( 0 , 0 )
proportions in graphs 1. Straight line (linear) 2. Goes through origin
( 1 , r ) the ordered pair for unit rate
describe a point on a graph based on the situation use the labels to identify which each point refers to Ex. (1 , 30) = 1 hour for 30 miles or 30 miles per hour
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