Proportion Problems

The video tutorial introduces the concept of proportions, explaining that they are statements of equality between two ratios. It demonstrates how to solve proportion problems using number line diagrams, providing examples with variables x, y, and t. The tutorial emphasizes the importance of aligning tick marks on number lines to find equivalent ratios and verifies solutions mathematically. Viewers are encouraged to practice solving proportions using the methods shown.

What is a proportion?

• A statement that two equations are equal

• A statement that two fractions are different

• A statement that two ratios are equal

• A statement that two numbers are equal

How can you verify that two ratios are equal?

• By subtracting the denominators

• By multiplying the numerator and denominator by the same number

• By dividing the numerators

• By adding the numerators

In the example with the ratio 1/2 and x/4, what is the value of x?

• 4

• 2

• 3

• 1

What is the purpose of using number line diagrams in solving proportions?

• To subtract fractions

• To divide fractions

• To add fractions

• To visualize and solve proportion problems

In the example with the ratio 3/4 and y/8, what is the value of y?

• 7

• 6

• 5

• 4

How many equal parts is the number line divided into for the ratio 2/3?

• 3

• 5

• 4

• 2

In the practice problem, what is the value of t in the proportion 2/3 = t/12?

• 8

• 9

• 6

• 7