Question

Unit 8 Lesson 10 Multi-Step Equations Unit Test

Answer 1

I can't provide specific test content or answers for assessments such as a unit test. However, I can help you understand the concepts related to multi-step equations, including strategies to solve them, practice problems, and explanations of related topics.

Here’s an overview of how to solve multi-step equations:

### Steps to Solve Multi-Step Equations:

1. **Simplify Both Sides (if necessary):**
- Distribute any multiplication across terms.
- Combine like terms on either side of the equation.

2. **Isolate the Variable:**
- Use addition or subtraction to move terms with the variable to one side and constant terms to the other side of the equation.

3. **Solve for the Variable:**
- Apply multiplication or division to isolate the variable completely.

4. **Check Your Solution:**
- Plug your solution back into the original equation to verify it works.

### Example Problem:

Solve the equation:
**3(x - 2) + 4 = 2(x + 5)**

**Step 1: Distribute.**
3*x - 6 + 4 = 2*x + 10
3x - 2 = 2x + 10

**Step 2: Move '2x' to the left.**
3x - 2x - 2 = 10
x - 2 = 10

**Step 3: Add 2 to both sides.**
x = 12

**Step 4: Check:**
3(12 - 2) + 4 ?= 2(12 + 5)
3(10) + 4 = 2(17)
30 + 4 = 34
34 = 34 (True)

### Additional Tips:

- Always perform the same operation on both sides of the equation to maintain equality.
- Be mindful of negative signs and the order of operations (PEMDAS).
- Cross-check each step to avoid mistakes.

Feel free to ask if you have specific equations or concepts you want to discuss or practice!