7th grade Ratio and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as a fraction, decimal, or with a colon (e.g., 3:2).

Front

What is a proportion?

Back

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

Front

How can you determine if two ratios form a proportion?

Back

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

Front

What is the cross product of two ratios a/b and c/d?

Back

The cross product is ad and bc; if ad = bc, then the ratios a/b and c/d are proportional.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant rate of change.

Front

How do you solve a proportion?

Back

To solve a proportion, you can use cross-multiplication to find the unknown variable.

Front

What is the unit rate?

Back

The unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' (e.g., miles per hour).

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and they represent the same relationship between quantities.

Front

What is an example of a real-world application of ratios and proportions?

Back

An example is cooking, where ingredients are mixed in specific ratios to maintain flavor.