Ratios, Tables, and Graphs

Front

What is a ratio?

Back

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

Front

How can ratios be expressed?

Back

Ratios can be expressed in three ways: as a fraction (e.g., 4/3), with a colon (e.g., 4:3), or in words (e.g., 4 to 3).

Front

If the ratio of red marbles to blue marbles is 7 to 5 and there are 35 red marbles, how do you find the number of blue marbles?

Back

To find the number of blue marbles, set up a proportion: 7/5 = 35/x, where x is the number of blue marbles. Cross-multiply and solve for x.

Front

What is the formula to find equivalent ratios?

Back

Two ratios are equivalent if their cross products are equal. For example, for ratios a/b and c/d, they are equivalent if a*d = b*c.

Front

How do you find the total number of items when given a ratio and one quantity?

Back

To find the total number of items, add the parts of the ratio together and then use the known quantity to find the other quantities.

Front

What is the relationship between ratios and proportions?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How can you use a table to represent ratios?

Back

A table can be used to show the relationship between two quantities in a ratio, allowing for easy visualization of how one quantity changes with respect to another.

Front

What is repeated addition in the context of ratios?

Back

Repeated addition is a method of finding the total of equal parts in a ratio by adding the same number multiple times.

Front

How do you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, simplify both ratios to their lowest terms and see if they are the same.

Front

What is the significance of the order of numbers in a ratio?

Back

The order of numbers in a ratio is significant because it indicates the relationship between the two quantities; reversing the order changes the meaning.