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 is cross-multiplication?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If \( \frac{a}{b} = \frac{c}{d} \), what is the cross-multiplication result?

Back

The result is \( a \cdot d = b \cdot c \).

Front

What does it mean for two ratios to be in proportion?

Back

Two ratios are in proportion if they are equal to each other.

Front

How can you check if two ratios are in proportion?

Back

You can check if two ratios are in proportion by cross-multiplying and seeing if the products are equal.

Front

What is the value of x in the proportion \( \frac{2}{5} = \frac{x}{65} \)?

Back

x = 26.

Front

What is the value of k in the proportion \( \frac{k}{6} = \frac{15}{18} \)?

Back

k = 5.

Front

What is the value of x in the proportion \( \frac{4}{7} = \frac{20}{x} \)?

Back

x = 35.

Front

Are the ratios \( \frac{6}{10} \) and \( \frac{2}{5} \) in proportion?

Back

No, they are not equal.