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:
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Simplify Both Sides (if necessary):
- Distribute any multiplication across terms.
- Combine like terms on either side of the equation.
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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.
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Solve for the Variable:
- Apply multiplication or division to isolate the variable completely.
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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.
3x - 6 + 4 = 2x + 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!
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