Question 1: Plot the point representing 3/4 on the number line.

Answer: 0.75

Question 2: Locate and shade the region between -2 and 2 on the number line.

Answer: Interval from -2 to 2

Question 3: Plot the number -1.5 and mark whether it is greater than or less than 0 using an inequality symbol.

Answer: -1.5 < 0

Question 4: Place the point for 2.75 on the number line and label it.

Answer: 2.75

Question 5: Construct a number line to show the inequality x > 1.5. Include the boundary point and shade the correct region.

Answer: Open circle at 1.5, shade right

Question 6: Which of the following points correctly represent the inequality x ≤ -1? a) -1, b) -2, c) 0

Answer: a

Question 7: Plot and label the points for 0, 1/2, and 1 on the number line.

Answer: 0, 0.5, 1

Question 8: Solve for x: x - 2 ≤ 3. Show your working on the number line.

Answer: x ≤ 5

Question 9: A student plots a point at 4.2 but labels it as 4.5. Identify and correct the mistake.

Answer: Point should be at 4.2, not 4.5

Question 10: Plot the points -3, 0, and 2 and draw an inequality to show that x is between -3 and 2.

Answer: -3 ≤ x ≤ 2

Question 11: Using the number line, represent the inequality: -1 < x < 3. Shade the appropriate region.

Answer: Open circles at -1 and 3, shade between

Question 12: Challenge: Construct a number line showing the solution to the inequality 2x + 1 ≥ 5.

Answer: x ≥ 2