Evaluating Each Expression

Oct 13, 2025 by miodeya.com 64 views

**Which Expression Has a Value of 32 When m=8?**

Understanding the Problem

In this problem, we are given an expression and asked to find its value when a variable m is equal to 8. The expression is given in four different forms, and we need to determine which one has a value of 32 when m=8.

The Expressions

We have four different expressions to evaluate:

A. $$m-8$$ B. $$4m$$ C. $$\frac{m}{2}$$ D. $$m+8$$

Evaluating Each Expression

To determine which expression has a value of 32 when m=8, we need to substitute m=8 into each expression and evaluate it.

Evaluating Expression A

To evaluate expression A, we substitute m=8 into the expression:

m-8

8-8

0

Expression A has a value of 0 when m=8.

Evaluating Expression B

To evaluate expression B, we substitute m=8 into the expression:

4m

4(8)

32

Expression B has a value of 32 when m=8.

Evaluating Expression C

To evaluate expression C, we substitute m=8 into the expression:

\frac{m}{2}

\frac{8}{2}

4

Expression C has a value of 4 when m=8.

Evaluating Expression D

To evaluate expression D, we substitute m=8 into the expression:

m+8

8+8

16

Expression D has a value of 16 when m=8.

Conclusion

Based on the evaluations above, we can see that only expression B has a value of 32 when m=8.

Q&A

Q: What is the value of expression A when m=8? A: The value of expression A when m=8 is 0.

Q: What is the value of expression B when m=8? A: The value of expression B when m=8 is 32.

Q: What is the value of expression C when m=8? A: The value of expression C when m=8 is 4.

Q: What is the value of expression D when m=8? A: The value of expression D when m=8 is 16.

Q: Which expression has a value of 32 when m=8? A: The expression that has a value of 32 when m=8 is expression B.

Common Mistakes

Substituting the wrong value for m
Not evaluating each expression carefully
Not checking the units of the answer

Tips and Tricks

Always read the problem carefully and understand what is being asked
Evaluate each expression carefully and check the units of the answer
Use a calculator or a computer program to check your answers

Real-World Applications

Evaluating expressions is an important skill in many areas of mathematics, including algebra, calculus, and statistics.
Understanding how to evaluate expressions is also important in many real-world applications, such as science, engineering, and economics.

Conclusion

In this article, we have evaluated four different expressions and determined which one has a value of 32 when m=8. We have also provided some tips and tricks for evaluating expressions and discussed some common mistakes to avoid. We hope that this article has been helpful in understanding how to evaluate expressions and has provided a good starting point for further learning.