Exploring Ratio and Proportion Concepts

The video tutorial covers section 8.1, focusing on solving practice problems using ratios and cross multiplication. The instructor demonstrates solving two problems, finding the ratio of X to Y and A to B, using the means extremes product theorem. Students are then encouraged to solve problems 3 and 4 independently, focusing on arithmetic and geometric means, and finding the fourth proportional term.

What is the first step in solving the ratio of X to Y?

• Add the terms on both sides

• Cross multiply

• Divide both sides by Y

• Subtract Y from both sides

What is the reduced form of the ratio 15 to 5?

• 15 to 1

• 1 to 3

• 3 to 1

• 5 to 1

In the ratio of A to B, what should you remember to do with a binomial?

• Add it to both sides

• Subtract it from both sides

• Put parentheses around it and distribute

• Ignore it

What is the final reduced ratio of A to B?

• 3 to 1

• 3 to 2

• 2 to 1

• 1 to 2

What should you do after solving problems 3 and 4 on your own?

• Submit your answers

• Compare your answers with the provided solutions

• Ask the teacher for help

• Redo the problems

What is the arithmetic mean of the given numbers in problem 3?

• 20

• 15

• 10

• 5

How should you set up the geometric mean?

• As a difference

• As a quotient

• As a sum

• As a product

What should you remember to list for the geometric mean?

• Neither option

• Only the positive option

• Both positive and negative options

• Only the negative option

What is the fourth term or fourth proportional in problem 4?

• 4

• 5

• 6

• 7

What is the final value of X after cross multiplying in problem 4?

• 7

• 6

• 5

• 4