Ratios, Unit Rates, Graphs&Tables Study Guide

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour).

Front

How do you find the unit rate from a given rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 144 feet are fallen in 3 seconds, the unit rate is 144 feet ÷ 3 seconds = 48 feet per second.

Front

What does a graph represent?

Back

A graph visually represents data, showing the relationship between two or more variables.

Front

What is the purpose of a table in data representation?

Back

A table organizes data into rows and columns, making it easier to read and compare values.

Front

How do you calculate the cost of one item when given a total cost for multiple items?

Back

To find the cost of one item, divide the total cost by the number of items. For example, if 5 apples cost $3.15, the cost of one apple is $3.15 ÷ 5 = $0.63.

Front

What is the coordinate plane?

Back

The coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis), used to locate points using ordered pairs (x, y).

Front

What does the ordered pair (3, 6) represent on a graph?

Back

The ordered pair (3, 6) represents a point located 3 units along the x-axis and 6 units along the y-axis.

Front

What is the significance of the x-axis and y-axis in a graph?

Back

The x-axis is the horizontal line on a graph, while the y-axis is the vertical line. Together, they help to plot points and visualize relationships between variables.

Front

How do you interpret a table of values?

Back

To interpret a table of values, look for patterns, relationships, and trends between the variables represented in the rows and columns.