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, you can use cross-multiplication, where you multiply the numerator of one ratio by the denominator of the other ratio.

Front

What is cross-multiplication in proportions?

Back

Cross-multiplication is the process of multiplying the numerator of one fraction by the denominator of the other fraction to find an unknown value.

Front

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

Back

The cross-multiplication equation is a * d = b * c.

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities.

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 first step in solving a proportion problem?

Back

The first step is to set up the proportion correctly based on the problem's context.

Front

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

Back

An example is using proportions to determine the scale of a map or to adjust a recipe.

Front

What is the relationship between direct variation and proportions?

Back

Direct variation describes a relationship where two quantities increase or decrease together, which can be expressed as a proportion.

Front

What is the formula for finding an unknown in a proportion?

Back

The formula is x = (b * c) / a, where a/b = c/x.