Exploring Ratios and Proportions in Algebra

What is a ratio?

• A mathematical function

• A type of equation

• A comparison of two quantities

• A graphical representation

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

• A to B

• A/B

• A - B

• A:B

What does a part-to-whole ratio represent?

• Comparison of a part to the entire group

• Comparison of two different groups

• Comparison of unrelated items

• Comparison within a group

In the example with colored circles, what was the ratio of blue to red circles?

• 3:10

• 2:5

• 3:3

• 3:4

What is essential for setting up proportions correctly?

• Always using fractions

• Consistency in numerator and denominator placement

• Using only whole numbers

• Using different units

How many blue balls are there if the ratio of blue to green balls is 3:4 and there are 48 green balls?

• 48

• 12

• 64

• 36

If the ratio of boys to girls is 4:5 and there are 64 boys, how many girls are there?

• 80

• 50

• 64

• 45

Using the ribbon trick, if the total number of students is 99 and the ratio of boys to girls is 4:5, how many boys are there?

• 99

• 55

• 44

• 45

What does the ribbon trick help with in ratio problems?

• Calculating exact values without equations

• Converting a single number into two related quantities

• Visualizing ratios

• Simplifying complex ratios

What is the result of the proportion if the setup is incorrect?

• A simplified ratio

• An awkward decimal

• An undefined result

• The correct answer