Ratios and Proportions

Front

What is the definition of a ratio?

Back

A ratio is a comparison of two quantities by division, expressing how many times one value contains or is contained within the other.

Front

What is a proportion?

Back

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

Front

How do you write a ratio in simplest form?

Back

To write a ratio in simplest form, divide both terms of the ratio by their greatest common divisor.

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 terms of the proportion.

Front

What does it mean for two quantities to be directly proportional?

Back

Two quantities are directly proportional if they increase or decrease at the same rate, meaning their ratio remains constant.

Front

What is the relationship between the slope of a proportional graph and the ratio?

Back

The slope of a proportional graph represents the constant ratio between the two variables.

Front

What is the significance of the origin in a proportional relationship?

Back

In a proportional relationship, the graph passes through the origin (0,0), indicating that when one quantity is zero, the other is also zero.

Front

How can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.

Front

What is an example of a real-world situation that can be modeled with ratios?

Back

Cooking recipes often use ratios to represent the relationship between different ingredients.

Front

What is the cross-multiplication method used for?

Back

The cross-multiplication method is used to solve proportions by multiplying the means and extremes.