Summary: Solving one-step Equations Using Whole Numbers
Key Concepts
- Determine whether a number is a solution to an equation.
- Substitute the number for the variable in the equation.
- Simplify the expressions on both sides of the equation.
- Determine whether the resulting equation is true. If it is true, the number is a solution.
- Subtraction Property of Equality
- For any numbers , , and ,
if then
- For any numbers , , and ,
- Solve an equation using the Subtraction Property of Equality.
- Use the Subtraction Property of Equality to isolate the variable.
- Simplify the expressions on both sides of the equation.
- Check the solution.
- Addition Property of Equality
- For any numbers , , and ,
if then
- For any numbers , , and ,
- Solve an equation using the Addition Property of Equality.
- Use the Addition Property of Equality to isolate the variable.
- Simplify the expressions on both sides of the equation.
- Check the solution.
Glossary
- solution of an equation
- A solution to an equation is a value of a variable that makes a true statement when substituted into the equation. The process of finding the solution to an equation is called solving the equation.