Review - Rates, Ratios and Graphing

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if it snows 14 inches in 5 hours, the unit rate is 2.8 inches per hour.

Front

How do you solve a proportion?

Back

To solve a proportion, you can cross-multiply the two ratios and set them equal to each other. For example, if you have a proportion like a/b = c/d, then ad = bc.

Front

Express the ratio 18 ounces to 3 cups as a fraction in simplest form.

Back

The simplest form of the ratio 18 ounces to 3 cups is 6 to 1.

Front

How do you find a percentage of a number?

Back

To find a percentage of a number, convert the percentage to a decimal and multiply it by the number. For example, to find 5% of 100, calculate 0.05 * 100 = 5.

Front

What does it mean to express a ratio?

Back

Expressing a ratio means to show the relationship between two quantities, often in the form of a fraction or using a colon. For example, a ratio of 3 to 1 can be expressed as 3:1 or 3/1.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers that shows how many times the first number contains the second. For example, a ratio of 4 to 2 means that for every 4 of the first quantity, there are 2 of the second.

Front

What is the difference between a rate and a ratio?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as miles per hour. A ratio compares two quantities of the same kind.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD). For example, to simplify the ratio 8:4, divide both by 4 to get 2:1.

Front

What is a graph?

Back

A graph is a visual representation of data that shows the relationship between two or more variables. Common types of graphs include line graphs, bar graphs, and pie charts.

Front

How do you read a graph?

Back

To read a graph, look at the axes to understand what variables are being compared, observe the data points or bars, and analyze trends or patterns.