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Let's break down the questions from your image step by step.

### Write a numerical expression:
**5. The total number of students, if there are nineteen in one class and thirteen in another:**
The total number of students can be expressed as a sum:
\[
19 + 13 = 32
\]

**6. The number of soccer players on each of five teams, if there are a total of thirty-five players:**
We need to find the number of players per team, which can be done by dividing the total number of players by the number of teams:
\[
\frac{35}{5} = 7
\]

---

### Evaluate each expression:
**7. $ 6(7) + 3 $**  
First, calculate $ 6 \times 7 = 42 $, then add 3:
\[
42 + 3 = 45
\]

**8. $ 4[(12 - 4) + 2] $**  
First, calculate inside the parentheses: $ 12 - 4 = 8 $, then add 2 to get 10. Now multiply by 4:
\[
4 \times 10 = 40
\]

**9. $ 3[6 + (6 - 2)] $**  
First, calculate inside the parentheses: $ 6 - 2 = 4 $, then add 6 to get 10. Multiply by 3:
\[
3 \times 10 = 30
\]

**10. $ 9(2) + 8(7) $**  
First, calculate $ 9 \times 2 = 18 $ and $ 8 \times 7 = 56 $, then add the two results:
\[
18 + 56 = 74
\]

**11. $ 10(4 \div 2) $**  
First, divide: $ 4 \div 2 = 2 $, then multiply by 10:
\[
10 \times 2 = 20
\]

**12. $ 4[25 \div (2 + 3)] $**  
First, add: $ 2 + 3 = 5 $, then divide $ 25 \div 5 = 5 $, and multiply by 4:
\[
4 \times 5 = 20
\]

---

### Financial Literacy Problem:
**13. Yu, Collin, and Sydney spent $284 and sold the bracelets for $674. If they split the profits evenly, how much did each person earn?**

First, calculate the profit by subtracting the cost from the sale price:
\[
674 - 284 = 390
\]
Then, divide the profit by 3 to find how much each person earned:
\[
\frac{390}{3} = 130
\]
Each person earned **$130**.

---

Would you like more details on any of these steps or any specific question? 

Here are 5 related questions to expand your understanding:

1. How would you write an expression for the total number of students if a new student joins the second class?
2. What if one team had fewer players, how would you calculate the number of players left for other teams?
3. How would the answer change in question 9 if the numbers inside the parentheses were different?
4. How would you handle a more complex expression like $ 4[25 \div (2 + 3) + 6] $?
5. How would you calculate each person's earnings if they sold the bracelets for a different amount?

**Tip:** When solving expressions with multiple operations, always remember to follow the order of operations: parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).

Evaluate the given mathematical expressions and answer a financial literacy problem involving profit sharing.

Learn how to solve algebraic expressions and a profit-sharing problem. This includes operations like addition, multiplication, and division, with an emphasis on understanding financial literacy concepts. Suitable for students in Grades 6-8.

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