📚 Topic Summary
One-step equations involve isolating a variable (like $x$) on one side of the equation by performing a single operation. The key is to use the inverse operation to 'undo' whatever is being done to the variable. For example, if the equation is $x + 5 = 12$, you subtract 5 from both sides. Remember, whatever you do to one side, you MUST do to the other to keep the equation balanced!
These printable worksheets are designed to give you the practice you need to become comfortable solving one-step equations. Work through the problems step by step, and don't be afraid to check your answers. Practice makes perfect!
🧠 Part A: Vocabulary
Match the term with its definition:
| Term |
Definition |
| 1. Variable |
A. A mathematical statement that two expressions are equal. |
| 2. Coefficient |
B. A symbol (usually a letter) that represents an unknown value. |
| 3. Equation |
C. To find the value of the variable that makes the equation true. |
| 4. Solve |
D. The number multiplied by a variable. |
| 5. Inverse Operation |
E. An operation that undoes another operation (e.g., addition and subtraction). |
🧮 Part B: Fill in the Blanks
Complete the following paragraph using the words: equation, variable, inverse, balance, sides.
When solving an __________, our goal is to isolate the __________. To do this, we use the _________ operation. It's important to __________ the equation by performing the same operation on both _________ of the equation.
💡 Part C: Critical Thinking
Explain in your own words why it is important to perform the same operation on both sides of an equation when solving for a variable. What happens if you don't?
