Ratios, Proportions, and Percentages

This video tutorial by Smart Edition Academy covers key mathematical concepts for the HESI exam, including ratios, proportions, and percentages. It explains how to convert fractions, decimals, and percents, solve real-world percent problems, and understand the concept of rate of change. The video provides examples and shortcuts for solving problems related to these topics, emphasizing the importance of understanding the order in ratios and the use of proportions to solve percent problems. Additionally, it discusses how to calculate rate of change, using miles per hour as a common example.

What topics are covered in the video by Smart Edition Academy?

• Only fractions and decimals

• Ratios, proportions, and percentages

• Geometry and algebra

• Statistics and probability

What does the term 'percent' literally mean?

• Out of a hundred

• Out of fifty

• Out of a thousand

• Out of ten

Can percentages be negative or greater than 100?

• Yes, they can be negative or greater than 100

• No, they are always between 0 and 100

• They can only be negative

• They can only be greater than 100

If 15 out of 250 contest entries are winners, what percentage of entries are winners?

• 6%

• 3%

• 12%

• 9%

What is a ratio?

• A comparison of two quantities

• A decimal

• A type of fraction

• A percentage

Why is the order important in ratios?

• Because it affects the total number

• Because it changes the meaning of the ratio

• Because it makes calculations easier

• Because it simplifies the ratio

What is a proportion?

• A type of decimal

• A single ratio

• Two ratios that are equal

• A type of percentage

How can you solve a proportion problem?

• By adding the ratios

• By subtracting the ratios

• By cross multiplying

• By dividing the ratios

What does rate of change show?

• How a quantity decreases over time

• How a quantity changes over time

• How a quantity remains constant over time

• How a quantity increases over time

If a car travels 360 miles in 6 hours, what is its average speed?

• 40 miles per hour

• 30 miles per hour

• 60 miles per hour

• 50 miles per hour