If , what is the value of ?
29
12
5
-5
Correct Answer: C
Choice Bhoice C is the correct answer. To solve this one-step linear equation, we need to isolate the variable using inverse operations.
- Start with the equation:
- Identify the operation: The variable is currently being added to 12
- Apply the inverse operation: Subtract 12 from both sides to isolate
- Simplify:
- Verify the solution: Substitute back into the original equation: ✓
💡 Strategic Tip: For equations in the form , always subtract from both sides. Addition and subtraction are inverse operations.
Choice Bhoice D is incorrect because this results from adding 12 to 17 instead of subtracting. The error is: . Remember, we need to undo the addition.
Choice Bhoice D is incorrect because this uses the wrong sign. If you calculate but mistakenly write the answer as negative, you get . Always check the sign of your answer.
Choice Bhoice C is incorrect because this confuses the constant term (12) with the solution. The value 12 is what's being added to , not the value of itself.