Evaluate $3(x-1)+2$ When $x=5$.A. 14 B. 4 C. 16 D. 18
Understanding the Problem
To evaluate the expression $3(x-1)+2$ when $x=5$, we need to substitute the value of $x$ into the expression and simplify it. This involves following the order of operations (PEMDAS) and performing the necessary calculations.
Substituting the Value of $x$
The first step is to substitute $x=5$ into the expression $3(x-1)+2$. This gives us:
Simplifying the Expression
Now, we need to simplify the expression inside the parentheses. We subtract 1 from 5, which gives us:
Multiplying 3 and 4
Next, we multiply 3 and 4, which gives us:
Adding 12 and 2
Finally, we add 12 and 2, which gives us:
Conclusion
Therefore, the value of the expression $3(x-1)+2$ when $x=5$ is $14$.
Why is this the Correct Answer?
The correct answer is $14$ because we followed the order of operations (PEMDAS) and performed the necessary calculations. We substituted $x=5$ into the expression, simplified the expression inside the parentheses, multiplied 3 and 4, and finally added 12 and 2.
What if I Made a Mistake?
If you made a mistake in evaluating the expression, you may have gotten a different answer. However, the correct answer is $14$, and you can verify this by re-evaluating the expression.
Common Mistakes to Avoid
Some common mistakes to avoid when evaluating expressions include:
- Not following the order of operations (PEMDAS)
- Not simplifying the expression inside the parentheses
- Not multiplying numbers correctly
- Not adding numbers correctly
Tips for Evaluating Expressions
Here are some tips for evaluating expressions:
- Always follow the order of operations (PEMDAS)
- Simplify the expression inside the parentheses
- Multiply numbers correctly
- Add numbers correctly
- Check your work by re-evaluating the expression
Conclusion
In conclusion, the value of the expression $3(x-1)+2$ when $x=5$ is $14$. We followed the order of operations (PEMDAS) and performed the necessary calculations to arrive at this answer. By following these tips and avoiding common mistakes, you can evaluate expressions correctly and confidently.
Final Answer
The final answer is $14$.
Frequently Asked Questions
Q: What is the value of the expression $3(x-1)+2$ when $x=5$?
A: The value of the expression $3(x-1)+2$ when $x=5$ is $14$.
Q: How do I evaluate the expression $3(x-1)+2$ when $x=5$?
A: To evaluate the expression $3(x-1)+2$ when $x=5$, you need to substitute the value of $x$ into the expression and simplify it. This involves following the order of operations (PEMDAS) and performing the necessary calculations.
Q: What is the order of operations (PEMDAS)?
A: The order of operations (PEMDAS) is a set of rules that tells you which operations to perform first when you have multiple operations in an expression. The acronym PEMDAS stands for:
- Parentheses: Evaluate expressions inside parentheses first
- Exponents: Evaluate any exponential expressions next
- Multiplication and Division: Evaluate any multiplication and division operations from left to right
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right
Q: How do I simplify the expression inside the parentheses?
A: To simplify the expression inside the parentheses, you need to evaluate any expressions that are inside the parentheses. In this case, the expression inside the parentheses is $x-1$.
Q: How do I multiply 3 and 4?
A: To multiply 3 and 4, you need to multiply the numbers together. This gives you $12$.
Q: How do I add 12 and 2?
A: To add 12 and 2, you need to add the numbers together. This gives you $14$.
Q: What if I made a mistake in evaluating the expression?
A: If you made a mistake in evaluating the expression, you may have gotten a different answer. However, the correct answer is $14$, and you can verify this by re-evaluating the expression.
Q: What are some common mistakes to avoid when evaluating expressions?
A: Some common mistakes to avoid when evaluating expressions include:
- Not following the order of operations (PEMDAS)
- Not simplifying the expression inside the parentheses
- Not multiplying numbers correctly
- Not adding numbers correctly
Q: What are some tips for evaluating expressions?
A: Here are some tips for evaluating expressions:
- Always follow the order of operations (PEMDAS)
- Simplify the expression inside the parentheses
- Multiply numbers correctly
- Add numbers correctly
- Check your work by re-evaluating the expression
Q: Can I use a calculator to evaluate the expression?
A: Yes, you can use a calculator to evaluate the expression. However, it's always a good idea to check your work by re-evaluating the expression manually.
Q: How do I know if I have evaluated the expression correctly?
A: To know if you have evaluated the expression correctly, you need to check your work by re-evaluating the expression manually. If you get the same answer, then you have evaluated the expression correctly.
Conclusion
In conclusion, the value of the expression $3(x-1)+2$ when $x=5$ is $14$. We followed the order of operations (PEMDAS) and performed the necessary calculations to arrive at this answer. By following these tips and avoiding common mistakes, you can evaluate expressions correctly and confidently.
Final Answer
The final answer is $14$.