One-step equations are the simplest type of algebraic equations. They require only one operation (addition, subtraction, multiplication, or division) to solve for the variable. Checking your solution is crucial to ensure accuracy. This involves substituting your found value back into the original equation to see if it holds true.
For example, if you solve $x + 5 = 10$ and find $x = 5$, you can check by plugging 5 back into the original equation: $5 + 5 = 10$, which is true. This confirms that your solution is correct. This practice sheet will help you solidify your skills in solving and verifying solutions for one-step equations.
| Term | Definition |
|---|---|
| 1. Variable | A. A statement that two expressions are equal. |
| 2. Equation | B. A symbol representing an unknown value. |
| 3. Solution | C. The value that makes an equation true. |
| 4. Inverse Operation | D. The operation that undoes another operation. |
| 5. Coefficient | E. A number multiplied by a variable. |
Match the term with its correct definition:
To solve a one-step equation, you need to isolate the ________. This means getting the ________ by itself on one side of the equation. You can do this by using ________ operations. For example, if the equation involves addition, you would use ________ to isolate the variable. Always ________ your solution by plugging it back into the original equation.
Why is it important to check your solution when solving equations?
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