Formula

Definition

A formula is a mathematical expression that relates variables and constants in an equation to solve a problem or find an unknown value. In algebra, formulas are used to solve linear equations and model real-world situations.

5 Must Know Facts For Your Next Test

1. A linear equation in one variable can be written in the form ax + b = c, where x is the variable, and a, b, and c are constants.
2. To solve for the variable in a formula, you often need to isolate the variable on one side of the equation using algebraic operations.
3. Formulas can be derived from word problems by translating the given information into mathematical expressions.
4. The solution to a linear equation is the value of the variable that makes the equation true.
5. Checking your solution by substituting it back into the original formula ensures its accuracy.

Review Questions

• How do you isolate the variable when solving a linear equation?
• What steps should you follow to derive a formula from a word problem?
• Why is it important to check your solution after solving a formula?

Related terms

Variable: A symbol used to represent an unknown value in mathematical expressions and equations.

Constant: A fixed value that does not change within an equation.

Linear Equation: An equation that forms a straight line when graphed and has no exponents greater than one on its variables.