Equations, Tables, & Graphs

Front

What is an equation?

Back

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

Front

What does the variable 'y' represent in an equation?

Back

In an equation, 'y' often represents the dependent variable, which changes in response to the value of 'x', the independent variable.

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 analyze relationships between variables.

Front

How do you find the slope of a line from a graph?

Back

The slope of a line is found by taking the rise (change in y) over the run (change in x) between two points on the line.

Front

What does a linear equation look like?

Back

A linear equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is zero.

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

How can you determine if a relation is a function from a table?

Back

A relation is a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a graph?

Back

A graph is a visual representation of data or mathematical relationships, typically plotted on a coordinate plane.