Ratios, Rates, Unit Rates, Tape Diagrams, Graphs

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 to b' or a:b.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different kinds of quantities, such as speed (miles per hour) or price per item.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. For example, if a car travels 60 miles in 1 hour, the unit rate is 60 miles per hour.

Front

How do you write ordered pairs from a table?

Back

Ordered pairs are written as (x, y), where x is the independent variable (like time) and y is the dependent variable (like total cars washed).

Front

What does the graph of a linear relationship look like?

Back

The graph of a linear relationship is a straight line, showing a constant rate of change between the two variables.

Front

How do you find the total number of items sold given a ratio?

Back

To find the total number of items sold given a ratio, divide the total items by the sum of the ratio parts, then multiply by each part of the ratio.

Front

What is a tape diagram?

Back

A tape diagram is a visual model that uses rectangles to represent quantities and their relationships, often used to solve ratio and proportion problems.

Front

How do you calculate the cost of multiple items given a unit price?

Back

To calculate the cost of multiple items, multiply the unit price by the number of items. For example, if one sweatshirt costs $15, then 5 sweatshirts cost 5 x $15 = $75.

Front

What is the purpose of graphing ordered pairs?

Back

Graphing ordered pairs helps visualize the relationship between two variables, making it easier to identify patterns and trends.

Front

How do you determine equivalent ratios?

Back

To determine equivalent ratios, simplify the ratios to their lowest terms or cross-multiply to see if they are equal.