Definitions
Equivalent Rates
and Unit Rates
Solve the Proportion
Word Problems
Ratios
100
Ratio
A ratio uses division to compare two numbers.
100
Write the following as a unit rate: 18 degrees/6 mins
3 degrees/1 min
100
Solve the proportion: 4/3=8/x
6
100

The money used in Jordan is called the Dinar. The exchange rate is $3 to 2 Dinars. Find how many dollars you would receive if you exchanged 22 Dinars.

$3/2 Dinars = $x/22 Dinars


You would receive $33 dollars. 

100
Write the ratio in simplest form and in all 3 ways: 5 to 3
5/3 , 5:3 , 5 to 3
200
Multiple
The product of a number and any other real number
200
Write the following equivalent rate: 240 miles/h = ? mi/min
4 mi/min
200
Solve the proportion: x/18=2/3
12
200

Shawna reduced the size of a rectangle (made a scale model) to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?

12/24 = 2/X

The height of the scale model is 4 inches. 

200
Write the ratio in simplest form and in all 3 ways: 5/20
1/4, 1 to 4, 1:4
300
Equivalent Ratios
Equivalent ratios are ratios that have the same value.
300
Write the following as a unit rate: -34 m/8 sec
-4.25m/1 sec
300
Solve the proportion: 7/3=42/x
18
300

Mr. Johnson was paid $190 for a job that required 40 hours of work. At this rate, how much should he be paid for a job requiring 60 hours of work?

190/40=x/60

He would earn $285.

300
Write the ratio in simplest form and in all 3 ways: 30:16
15/8, 15:8, 15 to 8
400
Equation
A mathematical sentence formed by setting two expressions equal to each other
400
Write the following equivalent rate: 105 min/game= ? h/game
1.75 h/ game
400
Solve the proportion: 4/15=16/x
60
400

A meteorologist reports that the ratio of snowfall in January to total snowfall during the average winter is 2 to 5. If 34 inches have fallen in January of the current year, find the predicted total snowfall for the entire winter

2/5=34/x

The predicted snowfall would be 82 inches in total.

400
Write the ratio in simplest form and in all 3 ways: 15 to 51
5/17, 5:17, 5 to 17
500
Rate
A ratio of two quantities that have different units
500
Write the following equivalent rate: $5.97/yd= ?$/ft
$1.99/ft
500
Solve the proportion: x/29.4=5.5/4.2
38.5
500

In a public opinion poll, 624 people from a sample of 1,100 indicated they would vote for a specific candidate. How many votes can the candidate expect to receive from a population of 40,000?

648/1100=x/40000

The candidate can expect to get approximately 23,564 votes. 

500
Write the ratio in simplest form and in all 3 ways: 80/36
20/9, 20:9, 20 to 9
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