Question 1: Calculate the value of y when x = 5 for the equation y = 3x + 2.

Answer: 17

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

Answer: Student draws on grid

Question 3: Rewrite the equation y = 5x - 7 in the form y = mx + c, identifying m and c.

Answer: y = 5x - 7, m=5, c=-7

Question 4: Given the table: x = 0, 1, 2, 3; y = 4, 7, 10, 13. Find the equation of the line.

Answer: y = 3x + 4

Question 5: Plot the line y = 2x + 1 on the grid provided.

Answer: Student draws line

Question 6: A car rental company charges a fixed fee of £50 plus £0.20 per mile. Write an equation for the total cost y in terms of miles x.

Answer: y = 0.2x + 50

Question 7: If x = 10 miles, what is the total cost using y = 0.2x + 50?

Answer: £52

Question 8: Plot the line y = -x + 5 for x from 0 to 4.

Answer: Student draws line

Question 9: A student makes an error and writes the equation y = 2x + 3 as y = x + 3. Identify and explain the mistake.

Answer: Incorrect slope; the original has slope 2, but the student wrote slope 1.

Question 10: Solve for x: y = 4x - 8, when y = 12.

Answer: x = 5

Question 11: Given the equation y = 2x + c, and the point (3, 11) lies on the line, find c.

Answer: c = 5