Proportions

Front

What is a proportion?

Back

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

Front

How do you set up a proportion to solve for an unknown?

Back

To set up a proportion, you can use the cross-multiplication method, where you multiply the means and the extremes.

Front

If a recipe calls for a ratio of 2:1 for flour to sugar, how would you adjust the amounts if you want to use 4 cups of flour?

Back

You would use 2 cups of sugar to maintain the ratio.

Front

What is the formula for finding a missing value in a proportion?

Back

If a/b = c/d, then ad = bc, where a, b, c, and d are the values in the proportion.

Front

How can you determine the scale factor between two similar figures?

Back

The scale factor can be determined by dividing the length of a side of one figure by the corresponding side of the other figure.

Front

What is the relationship between unit rates and proportions?

Back

Unit rates are a specific type of proportion where one of the quantities is 1.

Front

How do you find the total number of items in a proportional relationship?

Back

You can use the known ratio to set up a proportion and solve for the total number of items.

Front

What is the significance of cross-multiplication in solving proportions?

Back

Cross-multiplication allows you to eliminate the fractions and solve for the unknown variable.

Front

How do you apply proportions to real-world problems?

Back

Proportions can be used to solve problems involving scaling, ratios, and comparisons in various contexts, such as cooking, travel, and population estimates.

Front

What is a direct variation, and how does it relate to proportions?

Back

Direct variation is a relationship between two variables where one is a constant multiple of the other, which can be expressed as a proportion.