Solving Proportions Word Problems

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set the products equal to each other.

Front

What is the formula for finding the unit rate?

Back

The unit rate is found by dividing the quantity by the number of units, expressed as 'quantity per unit'.

Front

How can you set up a proportion from a word problem?

Back

Identify the two ratios in the problem, then set them equal to each other to form a proportion.

Front

What is the relationship between distance, rate, and time?

Back

The relationship is expressed by the formula: Distance = Rate × Time.

Front

How do you find the missing value in a proportion?

Back

Cross-multiply and solve for the missing value.

Front

What is a direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other.

Front

How can you use proportions to solve real-world problems?

Back

Proportions can be used to compare quantities and solve problems involving scaling, rates, and ratios.

Front

What is the concept of scaling in proportions?

Back

Scaling involves increasing or decreasing a quantity by a certain factor, maintaining the same ratio.

Front

How do you determine if two ratios form a proportion?

Back

Two ratios form a proportion if their cross products are equal.