Ratios and Proportions Review

Front

What is a ratio?

Back

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

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they express the same relationship between their quantities, meaning they can be set equal to each other.

Front

How do you find a ratio equivalent to a given ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

Front

If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how much flour is needed for 9 cups of sugar?

Back

6 cups of flour (since 2/3 = x/9, x = 6).

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How can you solve a proportion?

Back

You can solve a proportion by cross-multiplying the terms and then solving for the unknown.

Front

If 5 out of 8 students prefer chocolate ice cream, what is the ratio of students who prefer chocolate to those who do not?

Back

The ratio is 5:3 (5 prefer chocolate, 3 do not).

Front

What is the formula to find the total number of items based on a ratio?

Back

Total items = (part/ratio) * total ratio parts.

Front

If a car travels 240 miles in 4 hours, how far will it travel in 10 hours?

Back

600 miles (since the speed is 60 miles per hour).

Front

What is the relationship between direct variation and ratios?

Back

In direct variation, as one quantity increases, the other quantity increases in proportion, maintaining a constant ratio.