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 it mean for two ratios to be in proportion?

Back

Two ratios are in proportion if their cross products are equal.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves 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 product?

Back

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

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying and comparing the products.

Front

What is the first step in solving the proportion \( \frac{6}{18} = \frac{4}{c} \)?

Back

The first step is to cross-multiply: \( 6 \cdot c = 18 \cdot 4 \).

Front

What is the solution to the proportion \( \frac{x}{8} = \frac{25}{40} \)?

Back

The solution is \( x = 5 \).

Front

What is the value of \( c \) in the proportion \( \frac{6}{18} = \frac{4}{c} \)?

Back

The value of \( c \) is 12.

Front

In the proportion \( \frac{2}{10} = \frac{x}{5} \), what is the value of \( x \)?

Back

The value of \( x \) is 1.