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 a missing value in a ratio table?

Back

To find a missing value in a ratio table, you can set up a proportion using the known values and solve for the unknown value.

Front

What is the formula for finding equivalent ratios?

Back

The formula for finding equivalent ratios is a/b = c/d, where a and b are the first ratio, and c and d are the second ratio.

Front

If the ratio of red paint to yellow paint is 3:5, how much yellow paint is needed for 9 oz of red paint?

Back

To find the amount of yellow paint needed, set up the proportion 3/5 = 9/x. Cross-multiply and solve for x to find that 15 oz of yellow paint is needed.

Front

What does it mean to solve for a variable in a ratio table?

Back

Solving for a variable in a ratio table means determining the value of the unknown variable that maintains the equivalent ratio relationship.

Front

In the ratio 4:6, what is the simplest form?

Back

The simplest form of the ratio 4:6 is 2:3, obtained by dividing both numbers by their greatest common divisor, which is 2.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as a fraction or with a colon.

Front

How can you check if two ratios are equivalent?

Back

To check if two ratios are equivalent, cross-multiply the terms and see if the products are equal.

Front

What is the relationship between ratios and proportions?

Back

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

Front

If a table shows the ratio of A to B as 2:3, what is the value of B if A is 10?

Back

If A is 10, you can set up the proportion 2/3 = 10/B. Cross-multiply to find that B = 15.