Ratios and Proportions 6.12

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How can you identify a proportional relationship from a set of values?

Back

You can identify a proportional relationship by checking if the ratios of corresponding values are equal.

Front

What is the ratio of y:x if y is 9 and x is 3?

Back

The ratio of y:x is 9:3, which simplifies to 3:1.

Front

In a recipe, if the ratio of flour to sugar is 2:1, how much flour is needed for 3 tablespoons of sugar?

Back

If the ratio is 2:1, then for 3 tablespoons of sugar, you need 6 tablespoons of flour.

Front

What is the formula to calculate the ratio of two quantities?

Back

The formula to calculate the ratio of two quantities is: Ratio = Quantity A / Quantity B.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is the ratio of tennis balls to total balls if there are 6 tennis balls and 21 total balls?

Back

The ratio of tennis balls to total balls is 6:21, which simplifies to 2:7.

Front

If there are 25 boys and 15 girls in a class, what is the ratio of girls to boys?

Back

The ratio of girls to boys is 15:25, which simplifies to 3:5.

Front

What is the difference between a ratio and a proportion?

Back

A ratio compares two quantities, while a proportion states that two ratios are equal.

Front

How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first quantity in the numerator and the second quantity in the denominator.