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.

Front

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

Back

The variable 'x' represents an unknown value that we aim to solve for in an equation.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is a linear equation?

Back

A linear equation is an equation that graphs to a straight line and can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What is a table of values?

Back

A table of values is a systematic way to organize pairs of input (x) and output (y) values for a function or relation.

Front

How do you interpret the point (2, 94) on a graph?

Back

The point (2, 94) indicates that when the independent variable (x) is 2, the dependent variable (y) is 94.

Front

What is the y-intercept in the equation y = 4x + 3?

Back

The y-intercept is the value of y when x is 0; in this case, it is 3.

Front

What does it mean for an equation to be in slope-intercept form?

Back

An equation is in slope-intercept form if it is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine if an equation matches a table of values?

Back

You can determine if an equation matches a table of values by substituting the x-values from the table into the equation and checking if the resulting y-values match.