Find the sum of -5.1 + 4 and 3.8x - 5.

Question 3 options:

3.8x + (-6.1)

3.8x + 3.9

4.1 + 3.8x

-1.1 + (-1.2x)

Let's break down the problem and find the sum of \(-5.1 + 4\) and \(3.8x - 5\).

1. First, calculate \(-5.1 + 4\):
   \[
   -5.1 + 4 = -1.1
   \]

2. Next, add \(-1.1\) to \(3.8x - 5\):
   \[
   -1.1 + 3.8x - 5
   \]

3. Now, combine the like terms \(-1.1\) and \(-5\):
   \[
   -1.1 - 5 + 3.8x = -6.1 + 3.8x
   \]

Therefore, the sum is:
\[
3.8x + (-6.1)
\]

So, the correct answer is:

**Option 1: \(3.8x + (-6.1)\)**.

Would you like further details or have any questions?

**Related Questions:**
1. How do you combine like terms in an expression?
2. What is the general approach to adding polynomials?
3. Can you explain how to simplify expressions with multiple variables?
4. How do you find the sum of a constant and a variable term?
5. What happens if you add a positive and negative number?

**Tip:** Always simplify expressions step-by-step, combining like terms and constants separately for clarity.

Learn how to simplify the expression -5.1 + 4 and 3.8x - 5. This problem covers key algebraic concepts, including combining like terms and applying the commutative property of addition. Ideal for students in Grades 6-8.

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