Let's simplify the given expression step by step:

\[
2(1)^2 + 2(1) + 3 + 3(1)^2 + 4(1) - 7
\]

### Step 1: Calculate the powers and multiplications.

- \( 1^2 = 1 \), so \( 2(1)^2 = 2 \times 1 = 2 \).
- \( 2(1) = 2 \times 1 = 2 \).
- \( 3(1)^2 = 3 \times 1 = 3 \).
- \( 4(1) = 4 \times 1 = 4 \).

### Step 2: Substitute these values back into the expression.

\[
2 + 2 + 3 + 3 + 4 - 7
\]

### Step 3: Add and subtract the numbers.

- First, add all the positive terms:

\[
2 + 2 + 3 + 3 + 4 = 14
\]

- Then, subtract \( 7 \) from \( 14 \):

\[
14 - 7 = 7
\]

### Final Answer:
\[
\boxed{7}
\]

Would you like more details or have any other questions?

---

Here are 5 related questions you might find interesting:
1. How do you simplify expressions involving more complex exponents?
2. What happens if you have multiple variables in a similar expression?
3. How do you apply the distributive property in algebra?
4. How do you handle expressions that include fractions or decimals?
5. How can you use substitution to solve algebraic expressions?

**Tip:** When simplifying expressions, carefully work through each operation step by step to avoid mistakes, especially with addition and subtraction.

Learn how to simplify the expression 2(1)^2 + 2(1) + 3 + 3(1)^2 + 4(1) - 7 step-by-step. This problem involves basic algebraic expressions and simplification techniques suitable for Grades 6-8 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