3.3 Equivalent Ratio Tables - Missing Values

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, the ratios 1:2 and 2:4 are equivalent.

Front

How do you find missing values in a ratio table?

Back

To find missing values in a ratio table, you can use equivalent ratios. Set up a proportion based on the known values and solve for the unknown.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

If the ratio of A to B is 2:3, what is the equivalent ratio if A is 10?

Back

If A is 10, then B is 15, making the equivalent ratio 10:15.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between their quantities, meaning they can be simplified to the same fraction.

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying the terms and seeing if the products are equal.

Front

What is the missing value if the ratio is 4:5 and one value is 20?

Back

If one value is 20, the missing value is 25, making the ratio 20:25.

Front

What is the formula for finding a missing value in a ratio?

Back

The formula is: (known value 1 / known value 2) = (missing value 1 / missing value 2).

Front

If the ratio of 10 to C is equivalent to 2 to 5, what is C?

Back

C is 25, because 10/2 = C/5.

Front

What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form equivalent ratios.