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 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

If a/b = c/d, what is the cross-multiplication result?

Back

The result is ad = bc.

Front

What is the first step in solving for x in a proportion?

Back

The first step is to set the two ratios equal to each other.

Front

Solve the proportion: 2/3 = x/12

Back

x = 8.

Front

What is the importance of rounding in solving proportions?

Back

Rounding is important to provide a concise answer, especially when dealing with real-world applications.

Front

Solve the proportion: 5/x = 15/3

Back

x = 1.

Front

What is a common mistake when solving proportions?

Back

A common mistake is forgetting to cross-multiply correctly.

Front

How can you check if your solution for x is correct?

Back

You can check by substituting x back into the original proportion to see if both sides are equal.