📚 Topic Summary
One-step division equations are algebraic equations that can be solved in just one step using division. The goal is to isolate the variable (usually represented by a letter like $x$ or $y$) on one side of the equation. This is achieved by performing the inverse operation, which in this case is multiplication (to undo the division), on both sides of the equation. For example, in the equation $\frac{x}{5} = 10$, we multiply both sides by 5 to find the value of $x$.
Understanding one-step division equations is fundamental to grasping more complex algebraic concepts. Mastering this skill builds a strong foundation for future math studies. Remember to always perform the same operation on both sides of the equation to maintain balance and accuracy!
🔤 Part A: Vocabulary
Match the term with its definition:
| Term |
Definition |
| 1. Variable |
A. A mathematical statement that two expressions are equal. |
| 2. Equation |
B. The value that makes the equation true. |
| 3. Solution |
C. A symbol (usually a letter) representing an unknown number. |
| 4. Inverse Operation |
D. A number that multiplies a variable. |
| 5. Coefficient |
E. An operation that undoes another operation. |
✍️ Part B: Fill in the Blanks
Complete the following paragraph with the correct words:
To solve a one-step ______ equation, you need to isolate the ______. This means getting the variable by itself on one side of the equation. You can do this by using the ______ operation of division, which is ______. Remember to do the same thing to ______ sides of the equation to keep it balanced.
🤔 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?