https://file.aiquickdraw.com/mathbot/file/1730313589531r2vvd29o.jpg

To solve the problem, let's simplify the expression \(5a + 5a + 4 + 4\):

1. Combine the like terms:
   - The terms with \(a\): \(5a + 5a = 10a\).
   - The constant terms: \(4 + 4 = 8\).

So, the expression \(5a + 5a + 4 + 4\) simplifies to:
\[
10a + 8
\]

Now let's compare this result with the options provided:

- **Option A:** \(2(9a) = 18a\)
- **Option B:** \(10a^2 + 8\) (not equivalent because of the \(a^2\) term)
- **Option C:** \(25a + 16\)
- **Option D:** \(2(5a + 4) = 10a + 8\)

The correct answer is therefore **Option D: \(2(5a + 4)\)**, which matches \(10a + 8\).

Would you like further clarification on any steps, or do you have any questions?

### Related Questions
1. How do we simplify expressions with more than one variable?
2. How do you distribute terms in an expression like \(2(3x + 5y)\)?
3. What is the difference between like terms and unlike terms?
4. How can we identify common factors in an algebraic expression?
5. What are the rules for simplifying expressions with exponents?

### Tip
Always check for common factors when simplifying expressions, as they can help you rewrite the expression in a simpler form.

Which expression is equivalent to 5a + 5a + 4 + 4?

Learn how to simplify the algebraic expression 5a + 5a + 4 + 4 by combining like terms. This step-by-step guide explains the process and is suitable for Grade 7 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation