Exploring Ratios, Percentages, and Unit Rates

This video tutorial covers the concept of ratios and proportions, explaining how to set up and solve proportion problems. It includes examples of converting units and solving word problems using proportions. The tutorial emphasizes the importance of unit consistency and provides strategies for self-monitoring progress. Viewers are encouraged to practice problems independently to reinforce learning.

What is a good way to self-monitor your progress while solving problems?

• Pause the video, solve the problem, and then check your solution

• Skip the difficult problems

• Ask a friend for help

• Watch the video without taking notes

What is a proportion?

• A technique to solve algebraic equations

• A way to multiply numbers

• A method to add fractions

• An equation stating that two ratios or fractions are equal

Which of the following is a correct conversion?

• 1 day = 12 hours

• 1 foot = 24 inches

• 1 ton = 2000 pounds

• 1 meter = 50 centimeters

If 660 feet is equal to how many inches?

• 6600 inches

• 7920 inches

• 7200 inches

• 8000 inches

What is the first step in solving a proportion using cross-multiplication?

• Divide the terms

• Add the numbers

• Cross-multiply the terms

• Subtract the numbers

In the equation 24N = 240, what is the value of N?

• 10

• 8

• 6

• 12

Beth uses 14 strawberries in her fruit salad. How many grapes does she need if the ratio is 4 grapes for every 2 strawberries?

• 24 grapes

• 30 grapes

• 28 grapes

• 20 grapes

How many tons is 5440 pounds?

• 2.90 tons

• 3.00 tons

• 2.72 tons

• 2.50 tons

If 7 pencils cost $1.61, how much do 65 pencils cost?

• $16.00

• $13.95

• $15.00

• $14.95

On a map, 7,500 inches is equal to 220 miles. How many miles is 4.5 inches?

• 1320 miles

• 1200 miles

• 1250 miles

• 1400 miles