Ratios
A recipe uses 1/2 cup of sugar to 4 cups of flour. What is the ratio of flour to sugar?
4 : 1/2
A rate is a ratio of two quantities using different...
Units
Do the following ratios form a proportion?
4:30 and 8:1
No
What are the 3 ways to write a ratio?
As a fraction, with a : colon, or with the word to
Solve the equation:
-3x + -2 = -17
X = 5
Are the following statements equivalent?
1) The ratio of yellow to blue paint is 3 : 4.
2) The ratio of blue to yellow paint is 12 : 9.
Yes, the ratio of yellow to blue is 3/4 in both statements.
Find the unit rate: (use labels)
165 miles in 3 hours
55 miles per 1 hour
What are the 3 ways you can tell if ratios are proportional?
Simplify the fractions, divide top by bottom (compare decimals), or use cross products.
A _______ is a comparison of two quantities.
Ratio
4(x2 + 2x + 1) - 5
4x2 + 8x - 1
Find the missing values in the ratio table:
Quarts: 2, 6, 8, ___
Gallons: 1/2, ___, _____, 5/2
Quarts: 2, 6, 8, 10
Gallons: 1/2, 3/2, 2, 5/2
Find the unit rate: (use labels)
$3.68 for 8 cans
Are the two rates proportional?
3 books in 4 days
6 books in 8 days
Yes
A _________ compares a quantity of one unit to another quantity.
Unit Rate
Solve and graph the inequality:
-2x < -18.5
Open circle and shade to the right
For every 1 cup of milk in a recipe there is a 1/2 teaspoon of vanilla used.
You buy 6 bottles of Prime for $17.94. Your friend buys 4 bottles of Prime for $11.16. Who had the better buy? Explain.
Your friend because their unit rate was $2.79 which is cheaper than my unit rate was $2.99.
Do the following ratios form a proportion?
5:12 and 15:36
Yes
You are making cookies. One recipe calls for a ratio of 4 cups of chocolate chips to every 10 cups of sugar. A second recipe calls for 6 cups of chocolate chips to every 12 cups of sugar. Are the ratios proportional? Explain.
Sample answer: No because if you reduce the ratios as fractions, 2/5 does not equal 1/2.
Keep, Change, Flip
Sample answer:
4 : 1
6 : 1.5
8 : 2
You drive 450 miles in 9 hours. How far will you drive in 13 hours?
650 miles in 13 hours
A proportion is an equation stating that the value of two ratios are ___________.
Equivalent
A recipe for ice cream includes the following list of ingredients. Cut the recpie in half, how much of each ingredient will you need?
1/2 teaspoon vanilla
1.5 cups of ice
1.25 cups of milk
1/4 cup of sugar
1/4 teaspoon vanilla
3/4 cups of ice
5/8 or .625 cups of milk
1/8 or .125 cup of sugar
1/3
2/3
4/9
7/9
1/3 = 0.3333333...
2/3 = 0.6666666...
4/9 = 0.4444444...
7/9 = 0.7777777...