Writing and 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

If 6 feet corresponds to 2 feet, what is the height of a statue that casts a 10-foot shadow?

Back

30 feet.

Front

What is the formula to convert feet to yards?

Back

To convert feet to yards, divide the number of feet by 3.

Front

If you made 75% of your 12 attempts in soccer, how many goals did you score?

Back

9 goals.

Front

What does it mean to cross-multiply in a proportion?

Back

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

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Front

How can drawing a picture help in solving proportions?

Back

Drawing a picture can help visualize the problem and set up the proportion correctly.

Front

What is the value of k if 2/3 = k/15?

Back

k = 10.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the proportion of flour to sugar?

Back

The proportion is 2:3.