Question 1: Calculate: 24 ÷ (-6).

Answer: -4

Question 2: Calculate: (-36) ÷ 9.

Answer: -4

Question 3: Simplify: (-50) ÷ (-5).

Answer: 10

Question 4: Plot the graph of y = -2x for x values from -3 to 3.

Answer: See full answer key

Question 5: Construct a rectangle on the grid where the length is 8 units and the width is -2 units. Find its area.

Answer: -16

Question 6: Divide -81 by 9. Explain why the quotient is negative.

Answer: Because dividing a negative by a positive results in a negative quotient, as per the division rule for signs.

Question 7: A submarine is at -300 meters depth. It dives down another 150 meters, then ascends 50 meters. What is its final depth?

Answer: -400

Question 8: A car’s speed drops from 60 km/h to -20 km/h in 5 seconds. How much has the speed changed?

Answer: 80

Question 9: A hiker descends a mountain trail at a rate of 3 meters per minute. If they start at an elevation of 500 meters, what is their elevation after 20 minutes?

Answer: 440

Question 10: Error Analysis: A student calculates 96 ÷ (-8) as 12. Identify the mistake and correct it.

Answer: The mistake is in the sign; 96 ÷ (-8) = -12, not 12, because dividing a positive by a negative gives a negative result.

Question 11: Challenge: If (-a) ÷ b = c, where a, b, c are positive numbers, what is the value of a in terms of b and c?

Answer: a = -b × c