Solving 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 two ratios and then solve for the unknown variable.

Front

What does it mean for a table to be proportional?

Back

A table is proportional if the ratios of the corresponding values are equivalent.

Front

What is cross-multiplication in solving proportions?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio and setting the two products equal to each other.

Front

If a:b = c:d, what is the relationship between a, b, c, and d?

Back

The relationship indicates that the ratio a:b is equivalent to the ratio c:d.

Front

What is the first step in solving a proportion problem?

Back

Identify the two ratios that are being compared.

Front

What is the significance of the variable 'k' in a proportion?

Back

The variable 'k' represents an unknown value that can be solved for in the proportion.

Front

How can you determine if a set of values is proportional?

Back

You can determine if a set of values is proportional by checking if the ratios of the corresponding values are equal.

Front

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

Back

Proportions can be used in recipes to adjust ingredient amounts based on serving sizes.

Front

What does it mean if a proportion is not true?

Back

If a proportion is not true, it means that the ratios do not equal each other, indicating a lack of proportionality.