Here are the answers to the questions visible in the image:

1. Which of the following expressions is equivalent to the expression at the right?

Expression: -4.5 - 8.1

• Answer: D. -4.5 - 8.1

2. Which of the following is not true about the number line below?

• Answer: B. The opposite of point A is positive.

3. Solve:

-11.0 - 3.5

• Answer: -14.5

4. Solve:

7/4 + (-3/8)

• To solve this, first convert to a common denominator:
  $\frac{7}{4} = \frac{14}{8}$
  Now calculate:
  $\frac{14}{8} + \left(\frac{-3}{8}\right) = \frac{14 - 3}{8} = \frac{11}{8}$

• Answer: $\frac{11}{8}$ or 1.375

5. Solve:

26.04 - 6.2

• Answer: 19.84

6. Which of the following statements best describes the solution to the problem below?

Problem:
$- \frac{3}{6} \times \left(-\frac{3}{8}\right)$

• First, simplify:
  $- \frac{3}{6} = - \frac{1}{2}$
  Now multiply:
  $- \frac{1}{2} \times \left(- \frac{3}{8}\right) = \frac{3}{16}$ (positive result)

• Answer: C. The solution will be positive because there are two negative signs.

7. Van is asked to solve the problem below. Which of the following is a true statement?

Problem:
$-2.5 \times \frac{1}{6}$

• Answer: C. Since $\frac{1}{6}$ is a terminating decimal, Van should convert $\frac{1}{6}$ to a decimal and multiply decimals.

8. A homeowners’ association charges $3.85 as a fee for each day your payment is late. If a bill was originally $98.75 and paid 13 days late, then how much is owed?

• Calculation:
  $13 \times 3.85 = 50.05$
  Now, add the original bill amount:
  $98.75 + 50.05 = 148.80$

• Answer: $148.80

Let me know if you would like further explanations on any of the problems, or if you have any questions!

Relative questions:

1. What is the rule for adding two negative numbers, as seen in question 3?
2. How do you convert fractions to decimals and vice versa?
3. Why do two negatives make a positive in multiplication?
4. How do you solve operations with mixed fractions and decimals?
5. What is the procedure for calculating late payment fees or percentages?

Tip:

Always check if the signs in operations (positive or negative) affect the final result, especially when multiplying or dividing!