Equations, Tables, and Graphs

Front

What is an equation?

Back

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

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 table in mathematics?

Back

A table is a systematic arrangement of data, often used to display values of variables and their relationships.

Front

How do you represent a linear relationship in a graph?

Back

A linear relationship is represented by a straight line on a graph, showing how one variable changes in relation to another.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate.

Front

What is the y-intercept?

Back

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

Front

How do you write the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input, often represented as f(x).

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each input value corresponds to exactly one output value.

Front

How can you determine if a relationship is linear from a table?

Back

A relationship is linear if the differences between consecutive output values are constant for equal differences in input values.