Conditional equation

Definition

A conditional equation is an equation that is true for certain values of the variable(s) involved but not for all values. It typically has specific solutions that satisfy the equation.

5 Must Know Facts For Your Next Test

1. A conditional equation like $2x + 3 = 7$ is only true when $x = 2$.
2. The solution to a conditional equation can be found by isolating the variable on one side of the equation.
3. Not all equations are conditional; some are identities, which are true for all values of the variable.
4. Conditional equations can have one solution, multiple solutions, or no solution depending on their form and constraints.
5. To verify if a value is a solution to a conditional equation, substitute it back into the original equation and check if both sides are equal.

Review Questions

Related terms

Linear Equation:

An equation involving only first-degree polynomials. It graphs as a straight line.

Identity: An equation that is true for all values of its variables.

Solution Set: The set of all values that satisfy an equation or inequality.