Proportions

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 terms and then isolate the variable.

Front

What does the scale 1cm = 8km represent in a map?

Back

It indicates that 1 centimeter on the map corresponds to 8 kilometers in actual distance.

Front

If two quantities are proportional, what can be said about their ratios?

Back

The ratios of the two quantities remain constant.

Front

What is the first step in solving the proportion \( \frac{3}{4} = \frac{x}{20} \)?

Back

Cross-multiply to get 3 * 20 = 4 * x.

Front

What is the actual distance if two cities are 24cm apart on a map with a scale of 1cm = 8km?

Back

The actual distance is 192 km.

Front

How do you determine if a table of values is proportional?

Back

Check if the ratios of corresponding values are equal.

Front

If 30 out of 50 students like pizza, how do you find the expected number of pizza lovers in a group of 190 students?

Back

Set up a proportion: \( \frac{30}{50} = \frac{x}{190} \) and solve for x.

Front

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

Back

If \( a/b = c/d \), then \( ad = bc \).

Front

What is the relationship between direct variation and proportions?

Back

Direct variation describes a relationship where one variable is a constant multiple of another, which can be expressed as a proportion.