Question 1: Calculate the value of the expression: 5 + 3 × 2.

Answer: 11

Question 2: Solve for x: 2x + 4 = 12.

Answer: 4

Question 3: What is 25 divided by 5?

Answer: 5

Question 4: Plot the graph of y = 2x for x from 0 to 5.

Answer: Students plot points (0,0), (1,2), (2,4), (3,6), (4,8), (5,10).

Question 5: Construct a triangle with sides of length 3, 4, and 5 on the grid.

Answer: Students draw the triangle; no numerical answer.

Question 6: Iterate starting from 10: subtract 2 repeatedly. What is the value after 3 iterations?

Answer: 4

Question 7: Using the iterative formula: x_{n+1} = x_n + 3, starting from x_0=0, find x_4.

Answer: 12

Question 8: A machine increases a number by 15% each cycle. Starting with 100, what is the value after 3 cycles?

Answer: 153.86

Question 9: Solve the iterative problem: x_{n+1} = 0.5 × x_n + 2, with x_0=4. Find x_2.

Answer: 3

Question 10: A worker saves $50 each week. After 8 weeks, how much money has been saved? Use iteration.

Answer: 400

Question 11: Identify the mistake in this iterative process: Starting at 10, subtract 3 each time, but the calculations show a result of 8 after the first iteration.

Answer: The mistake is subtracting 3 from 10 results in 7, not 8. The error is in the calculation.

Question 12: Challenge: Find the fixed point of the iterative function x_{n+1} = 0.8x_n + 2.5. What value does the sequence approach?

Answer: 12.5