📚 Topic Summary
Multi-step equations are equations that require more than one step to solve. These steps often involve combining like terms, using the distributive property, and performing inverse operations to isolate the variable. Mastering these equations is crucial for success in algebra and beyond. This worksheet will provide you with the practice needed to confidently tackle these problems.
Solving multi-step equations is like following a recipe. You need to carefully apply each step in the correct order to arrive at the correct answer. Remember to always check your work by substituting your solution back into the original equation. With consistent practice, you'll become a pro at solving multi-step equations!
🔤 Part A: Vocabulary
Match the term with its definition:
| Term |
Definition |
| 1. Variable |
A. A value that does not change |
| 2. Coefficient |
B. A symbol representing an unknown value |
| 3. Constant |
C. To reduce an expression to a simpler form |
| 4. Distributive Property |
D. A number multiplied by a variable |
| 5. Simplify |
E. $a(b + c) = ab + ac$ |
✍️ Part B: Fill in the Blanks
Complete the following paragraph with the correct terms.
When solving multi-step equations, the first step is often to ________ like terms. Next, apply the ________ property to eliminate parentheses. Then, use ________ operations to isolate the ________. Always remember to check your ________ by substituting it back into the original equation. The goal is to find the value of the ________ that makes the equation true.
🤔 Part C: Critical Thinking
Explain in your own words the importance of checking your solution when solving multi-step equations. What could happen if you don't check your work?