Exploring Ratios and Proportions

The video tutorial covers lesson three, part two, focusing on equivalent rates. It begins with a review of ratios, explaining their definition and types. The tutorial then delves into proportional ratios, demonstrating how to determine if two ratios are proportional using cross-multiplication. It provides a step-by-step guide on solving proportions, including an example problem to illustrate the process. The video emphasizes the importance of matching the order of numbers in a ratio with the order of words in a comparison.

What is a ratio?

• A method to solve equations

• A special kind of fraction

• A comparison between two numbers

• A type of mathematical operation

Which of the following is NOT a way to write a ratio?

• Using the word 'to'

• Using a colon

• With a fraction line

• Using the word 'and'

What does it mean if two ratios are proportional?

• They can be simplified to the same number

• They add up to the same total

• They have the same denominator

• Their cross products are equal

How do you find if two ratios are proportional?

• Subtract one from the other

• Add them together

• Cross multiply and compare the products

• Divide one by the other

What does cross multiplying help determine in the context of ratios?

• If the ratios form a straight line

• If the ratios are exponential

• If the ratios are equivalent

• If the ratios are subtractive

What is the first step in solving proportions?

• Subtract the numbers

• Add the numbers

• Cross multiply

• Divide the numbers

In the proportion 3x = 18, what is x?

• 6

• 3

• 9

• 18

What is the second step after setting the cross products equal in solving proportions?

• Subtract the variable from both sides

• Add the numbers together

• Divide by the coefficient of the variable

• Multiply by the missing number

If the proportion is 1 to 7 equals 2 to 21, what is the first step to solve for the missing variable?

• Add 1 to 7

• Multiply 1 by 21

• Subtract 7 from 21

• Divide 21 by 7

What is the result of 21 divided by 7 in the context of solving proportions?

• 7

• 28

• 3

• 14