6th: Solving Proportions (9.3)

Front

What is a proportion?

Back

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

Front

How do you set up a proportion?

Back

To set up a proportion, you write two ratios as a fraction and set them equal to each other.

Front

What is cross product multiplication?

Back

Cross product multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If 3 out of 8 scouts can lead a hike, how do you find the total number of scouts if 21 can lead?

Back

Set up the proportion 3/8 = 21/x and solve for x.

Front

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

Back

The formula is a/b = c/d, where you can find d by rearranging to d = (b * c) / a.

Front

How can you check if two ratios form a proportion?

Back

You can check by cross multiplying and seeing if the products are equal.

Front

What is the first step in solving a proportion?

Back

The first step is to set up the proportion correctly.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship or comparison between two quantities.

Front

How do you solve for x in the proportion 2/10 = 8/x?

Back

Cross multiply to get 2x = 80, then divide by 2 to find x = 40.

Front

What is the relationship between the means and extremes in a proportion?

Back

In a proportion a/b = c/d, a and d are the extremes, and b and c are the means.