Proportions

Front

What is a proportion?

Back

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

Front

How do you solve for an unknown in a proportion?

Back

Cross-multiply the two ratios and then solve for the unknown.

Front

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

Back

6 cups of sugar.

Front

What is the formula for finding the slope of a line?

Back

Slope (m) = (change in y) / (change in x).

Front

If 5 out of 20 students prefer chocolate ice cream, what is the proportion of students who prefer chocolate?

Back

1/4 or 25%.

Front

How do you set up a proportion to find an unknown quantity?

Back

Set up the equation a/b = c/d, where a and b are known quantities and c is the unknown.

Front

What is the relationship between ratios and proportions?

Back

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

Front

If a car travels 150 miles in 3 hours, what is the car's speed in miles per hour?

Back

50 miles per hour.

Front

How can you use proportions to solve real-world problems?

Back

By setting up a proportion based on known quantities to find unknown values.

Front

What is a direct variation?

Back

A relationship where one variable is a constant multiple of another, expressed as y = kx.