Tables, Graphs, Equations

Front

What is a table in mathematics?

Back

A table is a systematic arrangement of data, usually in rows and columns, that helps to organize and present information clearly.

Front

What is a graph?

Back

A graph is a visual representation of data that shows the relationship between two or more variables, typically using points, lines, or bars.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, often containing variables.

Front

What does 'rate of change' mean?

Back

Rate of change refers to how much a quantity changes in relation to another quantity, often expressed as a unit rate.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the equation of a line from a table?

Back

To find the equation of a line from a table, identify the rate of change (slope) and the y-intercept, then use the slope-intercept form y = mx + b.

Front

What is the slope in a linear equation?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

What does the y-intercept represent in an equation?

Back

The y-intercept is the value of y when x is 0, representing where the line crosses the y-axis.

Front

How do you write an equation for a real-world situation?

Back

To write an equation for a real-world situation, identify the variables, determine the relationship between them, and express it in the form y = mx + b.

Front

What is the purpose of using graphs in mathematics?

Back

Graphs are used to visually represent data, making it easier to identify trends, patterns, and relationships between variables.