M2T1 Flashcard #1 Retake

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 solve for the variable.

Front

What does it mean to cross-multiply?

Back

Cross-multiplying involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

What is the ratio of two quantities?

Back

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

Front

How can ratios be expressed?

Back

Ratios can be expressed in three ways: as a fraction, with a colon (e.g., 3:2), or in words (e.g., '3 to 2').

Front

What is the relationship between equivalent ratios?

Back

Equivalent ratios are ratios that express the same relationship between quantities, even if the numbers are different.

Front

If the ratio of red apples to green apples is 4 to 3, what is the equivalent ratio if both quantities are doubled?

Back

The equivalent ratio would be 8 to 6.

Front

What is the first step in solving the proportion \( \frac{x}{8} = \frac{25}{40} \)?

Back

The first step is to cross-multiply: x * 40 = 25 * 8.

Front

What is the value of x in the proportion \( \frac{x}{8} = \frac{25}{40} \)?

Back

x = 5.

Front

In the proportion \( \frac{2}{7} = \frac{c}{28} \), what does c represent?

Back

c represents the unknown quantity that makes the two ratios equal.