I can see the questions from the image now. Let's solve them one by one:

Question 7:

How many minutes are there in $2h$ hours and $6m$ minutes?

We know there are 60 minutes in an hour. So to convert $2h$ hours to minutes: $2h = 2 \times 60 = 120 \text{ minutes}.$ Thus, the total number of minutes is: $120 + 6m.$ The correct answer is:

• D) $120h + 60m$

Question 8:

Sequence of operations:

1. Add 5 to a number $n$.
2. Divide by 8.
3. Subtract 1.
4. Multiply by 8.

We start with the expression $n$, and follow the operations in order:

1. Add 5 to $n$: $n + 5$
2. Divide by 8: $\frac{n + 5}{8}$
3. Subtract 1: $\frac{n + 5}{8} - 1 = \frac{n + 5}{8} - \frac{8}{8} = \frac{n - 3}{8}$
4. Multiply by 8: $\frac{n - 3}{8} \times 8 = n - 3$

The correct answer is:

• C) $n - 3$

Question 9:

Simplifying the expression:

$(2y - x) - 2(y - 2z) - 4(x + z)$

1. Distribute the terms: $2y - x - 2(y - 2z) - 4(x + z) = 2y - x - 2y + 4z - 4x - 4z$
2. Simplify by combining like terms: $(2y - 2y) + (-x - 4x) + (4z - 4z) = -5x$

The correct answer is:

• B) $-5x$

Question 10:

Evaluate $\frac{x}{2} + \frac{x}{20} + \frac{x}{200}$ when $x = 10$:

Substitute $x = 10$ into the expression: $\frac{10}{2} + \frac{10}{20} + \frac{10}{200} = 5 + 0.5 + 0.05$

Summing these gives: $5 + 0.5 + 0.05 = 5.55$

The correct answer is:

• 5.55

Question 11:

If $x$ and $y$ are positive integers and $2x + 5y = 18$, what is the value of $x$?

We will try values of $y$ to find integer solutions:

1. Let $y = 2$: $2x + 5(2) = 18 \implies 2x + 10 = 18 \implies 2x = 8 \implies x = 4$

Thus, when $y = 2$, $x = 4$.

The correct answer is:

• $x = 4$

Question 12:

If $a = 3$, $b = -1$, and $c = -2$, find the value of the expression:

$7 \times \frac{a - 12 + (2 - b)}{c + 3}$

Substitute the values of $a$, $b$, and $c$: $7 \times \frac{3 - 12 + (2 - (-1))}{-2 + 3} = 7 \times \frac{3 - 12 + 3}{1} = 7 \times (-6 + 3) = 7 \times (-3) = -21$

The correct answer is:

• $-21$

Do you need more details on any of the explanations or the concepts involved?

Here are 5 related questions to deepen your understanding:

1. How would the answer in Question 7 change if there were more than 60 minutes in an hour?
2. Can you generalize the sequence of operations in Question 8 for other numbers instead of 5?
3. How would you simplify a different expression involving multiple variables like Question 9?
4. How does the concept of substitution help in solving Question 10?
5. What other systems of equations can you solve by trial and error like in Question 11?

Tip: When working with equations, always remember to follow the order of operations—parentheses, exponents, multiplication/division, and then addition/subtraction.