Solving Proportions

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 to solve a problem?

Back

To set up a proportion, you can use the formula a/b = c/d, where a and b are the first ratio, and c and d are the second ratio.

Front

What is cross-multiplication in solving proportions?

Back

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

Front

If 6 pencils cost 36 cents, how do you find the cost of 1 pencil?

Back

To find the cost of 1 pencil, divide the total cost by the number of pencils: 36 cents / 6 pencils = 6 cents per pencil.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one.

Front

How do you find the cost of multiple items using proportions?

Back

To find the cost of multiple items, set up a proportion based on the known cost and quantity, then solve for the unknown.

Front

What is the formula for finding distance when speed and time are known?

Back

The formula is Distance = Speed x Time.

Front

How do you determine the total weight of multiple bags using proportions?

Back

Set up a proportion based on the known weight of a certain number of bags and solve for the unknown weight.

Front

What is the relationship between ratios and proportions?

Back

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

Front

How can you check if two ratios form a proportion?

Back

You can check if two ratios form a proportion by cross-multiplying and seeing if the products are equal.