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.

Tags

CCSS.6.EE.A.2C

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.HSF.IF.A.2

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.

Tags

CCSS.6.EE.A.2B

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Tags

CCSS.8.EE.C.8B

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.

Tags

CCSS.7.RP.A.2A

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.