Ratios, Rates, Unit Rates, Graphing Review

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

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or dollars per week.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1. For example, if you can type 102 words per minute, the unit rate is 102 words/1 minute.

Front

How do you find a unit rate from a total?

Back

To find a unit rate, divide the total quantity by the number of units. For example, if you earn $250 in 2 weeks, the unit rate is $250 ÷ 2 = $125 per week.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 8:1 can be written as the fraction 8/1.

Front

How do you convert a ratio to simplest form?

Back

To convert a ratio to simplest form, divide both parts of the ratio by their GCF.

Front

What is the purpose of graphing in relation to rates?

Back

Graphing helps visualize the relationship between two quantities, such as time and distance, making it easier to understand rates.

Front

How can you determine the slope of a graph?

Back

The slope of a graph represents the rate of change and can be calculated by dividing the change in the y-axis by the change in the x-axis.

Front

What does a steeper slope indicate on a graph?

Back

A steeper slope indicates a greater rate of change between the two quantities being compared.