Question 1: Given x = 3 and y = 4, evaluate the expression 2x + 3y.

Answer: 18

Question 2: If x + y = 7 and x - y = 3, find the values of x and y.

Answer: x=5, y=2

Question 3: Calculate the value of 4a + 5b if a = 2 and b = 3.

Answer: 23

Question 4: Solve for x and y: 2x + y = 10, x - y = 2.

Answer: x=4, y=2

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

Answer: Student draws the line

Question 6: Construct a triangle with vertices at (2,3), (5,7), and (3,9) on the grid.

Answer: Student constructs triangle

Question 7: If x = 2, y = 3, and z = 4, evaluate 3x + 2y - z.

Answer: 10

Question 8: Solve the system: 3x + 4y = 24, 5x - y = 10.

Answer: x=4, y=3

Question 9: In a real-world scenario, if the cost C of buying x items at £5 each and y items at £3 each is given by C = 5x + 3y, find the total cost when x=4 and y=6.

Answer: C=38

Question 10: A student solves the equations x + y = 8 and 2x - y = 3. They find x=5 and y=3. Identify and correct the mistake.

Answer: The mistake is in the calculation; the correct solution is x=3.5, y=4.5.

Question 11: Challenge: Given the system of equations, x + 2y = 10 and 3x + y = 9, find the values of x and y.

Answer: x=2, y=4