Question 1: Solve for x: 3x + 5 < 20.

Answer: 5

Question 2: Solve for x: 2x - 7 ≥ 3.

Answer: 5

Question 3: Calculate x: 4x + 2 > 18.

Answer: 4

Question 4: Plot the graph of y = 2x on the grid. (Draw the line for x from -3 to 3.)

Answer: Students plot the line y=2x.

Question 5: Construct a triangle with sides of lengths 3x, 2x+1, and x+4, where x solves the inequality 2x - 1 < 5.

Answer: x < 3

Question 6: Solve for x: 5x - 2 ≤ 3x + 4.

Answer: 3

Question 7: If a shopping budget allows spending less than $50, and each item costs x dollars, write and solve an inequality to find the maximum price per item if purchasing fewer than 8 items.

Answer: x < 6.25

Question 8: A store offers a discount so that the total price after discount is less than $40. If the original price is p dollars, and the discount is 10% of p, write and solve an inequality to find the maximum original price.

Answer: p < 44.44

Question 9: A student has less than $30 to spend on school supplies. Each notebook costs x dollars. Write and solve an inequality to determine how much each notebook can cost if they buy at most 4 notebooks.

Answer: x ≤ 7.5

Question 10: A pair of shoes costs more than $60 but less than $120. Write the inequalities and find the range of possible prices for the shoes.

Answer: 60 < price < 120

Question 11: Identify and correct the mistake in solving: 2x + 3 < 7, when the student concludes x < 4, but the actual solution is x < 2.

Answer: The mistake is adding 3 instead of subtracting 3 from both sides, so the correct solution is 2x < 4, leading to x < 2.