Formula

Definition

A formula is a mathematical expression that relates variables and constants using algebraic operations. Formulas are used to solve problems by substituting known values into the equation.

5 Must Know Facts For Your Next Test

1. A formula can be rearranged to solve for any variable within it.
2. The quadratic formula, $x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$, is essential for solving quadratic equations.
3. In trigonometry, the Pythagorean theorem formula is $a^2 + b^2 = c^2$ which relates the sides of a right triangle.
4. The slope-intercept form of a linear equation is $y = mx + b$ where $m$ is the slope and $b$ is the y-intercept.
5. Formulas can be derived from functions and function notation, such as $f(x) = x^2 + 3x - 4$.

Review Questions

• What does the quadratic formula solve?
• How do you use the slope-intercept form to find the slope of a line?
• What relationship does the Pythagorean theorem describe in a right triangle?

Related terms

Variable: A symbol used to represent an unknown or changeable value in mathematical expressions.

Constant: A fixed value that does not change in mathematical expressions or equations.

Function Notation: A way to denote functions using symbols like $f(x)$ to represent outputs based on input values.