The problem asks to evaluate the given algebraic expressions, substituting $a = 2$ and $b = 3$. Here are the solutions:

6. $5a + 2 - 1$

Substitute $a = 2$: $5(2) + 2 - 1 = 10 + 2 - 1 = 11.$

Answer: 11

7. $(4a + 3b) - 2$

Substitute $a = 2$ and $b = 3$: $(4(2) + 3(3)) - 2 = (8 + 9) - 2 = 17 - 2 = 15.$

Answer: 15

8. $(6 + 6) \times 4$

Simplify inside the parentheses: $(6 + 6) \times 4 = 12 \times 4 = 48.$

Answer: 48

9. $(3a + 3) \div b$

Substitute $a = 2$ and $b = 3$: $(3(2) + 3) \div 3 = (6 + 3) \div 3 = 9 \div 3 = 3.$

Answer: 3

Let me know if you'd like detailed steps for any part! 😊

Related Questions:

1. What are the key steps to simplify expressions with variables before substitution?
2. Can you explain the order of operations in algebra?
3. How would the answers change if different values were assigned to $a$ and $b$?
4. Why is it important to group terms properly (e.g., parentheses) in algebra?
5. How can these expressions be visualized graphically?

Tip:

Always follow PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) to ensure accurate calculations!