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 slope of a line represent in a graph?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

What is a table in mathematics?

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept is found by setting x to 0 in the equation and solving for y.

Front

What does the term 'variable' mean in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

What is the purpose of a graph?

Back

A graph visually represents data or relationships between variables, making it easier to understand trends and patterns.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

How can you determine the number of solutions to a system of equations?

Back

You can determine the number of solutions by graphing the equations: if they intersect at one point, there is one solution; if they are parallel, there are no solutions; if they are the same line, there are infinitely many solutions.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other.

Front

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

Back

The x-axis is the horizontal line that represents the independent variable, while the y-axis is the vertical line that represents the dependent variable.