Proportions

The video tutorial covers the concept of proportions, explaining how two ratios are equal and form a proportion. It introduces proportional relationships and provides real-world examples. Two methods for solving proportions are discussed: using multiplication and the cross product property. The tutorial includes practice problems and demonstrates the use of cross product property in ratio tables.

What is a proportion?

• A type of fraction

• A method to solve equations

• A comparison of two different numbers

• An equation stating that two ratios are equal

Which of the following pairs of ratios form a proportion?

• 4:7 and 8:14

• 5:9 and 10:18

• 3:5 and 6:10

• 1:2 and 2:4

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

• Subtract the ratios

• Add the ratios

• Divide both sides by the same number

• Multiply both sides by the same number

In the multiplication method, if x/0.25 = 6, what is x?

• 2

• 0.25

• 1

• 1.5

What does the cross product property state?

• The sum of the ratios is equal

• The cross products of a proportion are equal

• The difference of the ratios is equal

• The product of the ratios is equal

Using the cross product property, which of the following is true for the proportion 3/4 = x/8?

• 4 * 8 = 3 * x

• 3 * 4 = 8 * x

• x * 8 = 3 * 4

• 3 * 8 = 4 * x

How can you determine if two ratios form a proportion?

• By subtracting the ratios

• By adding the ratios

• By dividing the ratios

• By checking if their cross products are equal

If 6/14 is equal to 3/7, what does this indicate?

• The ratios are not in a proportional relationship

• The ratios are different

• The ratios form a proportion

• The ratios are not equivalent

What is the purpose of using a ratio table?

• To add ratios

• To solve equations

• To find equivalent ratios using cross product property

• To compare different ratios

In a ratio table, if 3 times 18 equals 54, what should 9 times be to maintain the proportion?

• 6

• 9

• 12

• 18