Question 1: Given the equation y = 3x + 2, calculate the value of y when x = 4.

Answer: 14

Question 2: Plot the graph of y = -2x + 5 for x values from -3 to 3.

Answer: Students plot on the grid.

Question 3: The price of a taxi ride is given by y = 1.50x + 3, where x is the number of kilometres traveled. Find the total fare for a 10 km journey.

Answer: 18

Question 4: Calculate the gradient (m) and y-intercept (c) for the equation y = 0.5x - 4.

Answer: m=0.5, c=-4

Question 5: A car rental company charges a fixed fee plus a per-mile cost. The total cost y (in pounds) is given by y = 0.20x + 15, where x is miles driven. Find the total cost for 50 miles.

Answer: 25

Question 6: Construct the graph of y = 2x - 1 on the grid provided. Label the y-intercept and gradient.

Answer: Students draw and label.

Question 7: A mobile plan charges a monthly fee plus per-minute charges. The total cost y (in pounds) is given by y = 0.10x + 5, where x is the number of minutes used. How much will the plan cost if you use 300 minutes?

Answer: 35

Question 8: Explain what the gradient (m) and y-intercept (c) represent in the context of a graph showing the total earnings y from selling x items at a fixed price per item.

Answer: Gradient (m) is the earnings per item; y-intercept (c) is the fixed starting amount (initial earnings).

Question 9: A cyclist travels at a steady speed. The total distance y (km) traveled after x hours is represented by y = 20x. How far will the cyclist travel in 2.5 hours?

Answer: 50

Question 10: A store offers a discount such that the final price y (in pounds) of a jacket costing £80 before discount is given by y = -0.1x + 80, where x is the percentage discount. What is the price after a 25% discount?

Answer: 60

Question 11: Identify and correct the mistake in the equation y = 4x + 2, if the gradient is meant to be negative in a real-world context where y decreases as x increases.

Answer: The gradient should be negative; correct equation: y = -4x + 2.