Let's match the verbal phrases in Column A to the corresponding mathematical expressions in Column B:

1. The sum of twice a number and 5

   • Verbal phrase: "Twice a number" means $2n$, and "the sum of that and 5" means $2n + 5$.
   • Mathematical expression: C. $2n + 5$

2. The difference between a number and 7

   • Verbal phrase: "The difference between a number and 7" means $n - 7$.
   • Mathematical expression: A. $n - 7$

3. Three times a number decreased by 4

   • Verbal phrase: "Three times a number" means $3n$, and "decreased by 4" means $3n - 4$.
   • Mathematical expression: J. $3n - 4$

4. The quotient of a number and 5

   • Verbal phrase: "The quotient of a number and 5" means $n \div 5$ or $\frac{n}{5}$.
   • Mathematical expression: H. $\frac{n}{5}$

5. The square of a number

   • Verbal phrase: "The square of a number" means $n^2$.
   • Mathematical expression: E. $n^2$

6. The product of 7 and the sum of a number and 2

   • Verbal phrase: "The sum of a number and 2" means $n + 2$, and "the product of 7 and that sum" means $7(n + 2)$.
   • Mathematical expression: G. $7(n + 2)$

7. Half of a number increased by 10

   • Verbal phrase: "Half of a number" means $\frac{n}{2}$ or $(1/2)n$, and "increased by 10" means $\frac{n}{2} + 10$.
   • Mathematical expression: F. $(1/2)n + 10$

8. The difference between 9 and three times a number

   • Verbal phrase: "Three times a number" means $3n$, and "the difference between 9 and that" means $9 - 3n$.
   • Mathematical expression: B. $9 - 3n$

9. Five more than the square of a number

   • Verbal phrase: "The square of a number" means $n^2$, and "five more than that" means $n^2 + 5$.
   • Mathematical expression: I. $n^2 + 5$

10. Four times the sum of a number and 3

• Verbal phrase: "The sum of a number and 3" means $n + 3$, and "four times that sum" means $4(n + 3)$.
• Mathematical expression: D. $4(n + 3)$

Final Matching:

1. C. $2n + 5$
2. A. $n - 7$
3. J. $3n - 4$
4. H. $\frac{n}{5}$
5. E. $n^2$
6. G. $7(n + 2)$
7. F. $(1/2)n + 10$
8. B. $9 - 3n$
9. I. $n^2 + 5$
10. D. $4(n + 3)$

Any questions?

Would you like to discuss any of these in more detail? Here are 5 related questions to consider:

1. How do you translate more complex verbal phrases into algebraic expressions?
2. What is the importance of understanding keywords like "sum," "difference," "product," and "quotient" in algebra?
3. Can you provide examples of how changing one word in a verbal phrase can change the mathematical expression?
4. What strategies can help you avoid common mistakes when translating verbal phrases to algebraic expressions?
5. How do you deal with verbal phrases involving multiple operations (e.g., both addition and multiplication)?

Tip: When translating verbal phrases to mathematical expressions, always pay close attention to the order of operations and keywords indicating mathematical actions.