Variables

In mathematics, a variable is a symbol that represents a quantity that can change or vary. Variables are used in equations, expressions, and formulas to denote unknown values or values that can change.

Types of Variables

There are two main types of variables: independent variables and dependent variables.

Independent Variables

An independent variable is a variable that stands alone and isn't changed by the other variables you are trying to measure. It is often denoted by the symbol "x" and represents the input or cause in a relationship.

Dependent Variables

A dependent variable is a variable that depends on the value of the independent variable. It is often denoted by the symbol "y" and represents the output or effect in a relationship.

Example

For example, in the equation y = 2x + 3, "x" is the independent variable and "y" is the dependent variable. The value of "y" depends on the value of "x".

Conclusion

Understanding variables is crucial in solving equations, graphing functions, and analyzing relationships between quantities in mathematics.

◂Math Worksheets and Study Guides Eighth Grade. Perimeter and area

The resources above cover the following skills:

Geometry (NCTM)

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Precisely describe, classify, and understand relationships among types of two- and three-dimensional objects using their defining properties.

Use visualization, spatial reasoning, and geometric modeling to solve problems.

Use geometric models to represent and explain numerical and algebraic relationships.

Measurement (NCTM)

Apply appropriate techniques, tools, and formulas to determine measurements.

Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.

Develop and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles and develop strategies to find the area of more-complex shapes.