Let's work through the questions step-by-step based on what is visible from the image.

1. Use the expression 7 - 10 to complete parts (a) - (d):

a. Use a number line to model the expression.

To model $7 - 10$ on a number line, start at 7 and move 10 steps to the left (because we are subtracting). You'll end up at $-3$.

b. Write the subtraction expression as an equivalent addition expression.

Subtraction can be rewritten as adding the opposite. So, $7 - 10$ is equivalent to: $7 + (-10)$

c. Determine the sum of the expression from part (b).

Now we add $7 + (-10)$: $7 + (-10) = -3$

d. Evaluate 7 - 10.

As shown in parts (b) and (c), $7 - 10 = -3$.

2. Use the expression $-2 - 5$ to complete parts (a) - (d):

a. Use a number line to model the expression.

For $-2 - 5$, start at $-2$ on the number line and move 5 steps to the left. You will end up at $-7$.

b. Write the subtraction expression as an equivalent addition expression.

Rewrite $-2 - 5$ as: $-2 + (-5)$

c. Determine the sum of the expression from part (b).

Adding $-2 + (-5)$: $-2 + (-5) = -7$

d. Evaluate $-2 - 5$.

The answer is $-7$, as calculated above.

Would you like to explore more about these concepts? Here are 5 related questions to deepen your understanding:

1. What is the difference between subtraction and adding a negative number?
2. Can all subtraction problems be rewritten as addition problems? Why?
3. How would you represent a more complex subtraction like $12 - 17$ on a number line?
4. What happens if you subtract a negative number? How does that affect the direction on a number line?
5. Can you create your own number line problem using subtraction, and solve it?

Tip:

When working with negative numbers on a number line, remember that subtracting a number moves you left, while adding a number moves you right.