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

Answer: 5

Question 2: Calculate the value of x: 2(4x - 3) = 10.

Answer: 4

Question 3: Solve for x: 5x - 7 = 3x + 5.

Answer: 6

Question 4: Plot the graph of y=2x on the provided grid.

Answer: Students will graph; no numerical answer.

Question 5: Construct a triangle with sides of lengths that satisfy the equation 2x + 3 = 9, where x represents a side length.

Answer: x=3

Question 6: A rectangle's length is 4 times x, and its width is x + 2. If the perimeter is 36, find x.

Answer: x=4

Question 7: Solve for x: 7x + 2 = 3x + 14.

Answer: 3

Question 8: If 4x - 5 = 3x + 7, what is the value of x?

Answer: 12

Question 9: A car rental company charges a flat fee plus a rate per day. If the total cost for renting x days is given by 50 + 20x, and the total cost is $130, how many days was the car rented?

Answer: x=5

Question 10: Identify and correct the mistake: Solve 2x + 4 = 10, students mistakenly subtract 4 from both sides to get 2x=6, then say x=3.

Answer: The mistake is subtracting 4; instead, subtract 4 from both sides to get 2x=6, then divide both sides by 2 to find x=3. The initial step was correct, but students should be cautious with signs.

Question 11: Challenge: Solve and verify: 3(2x - 1) + 4 = 2(3x + 2).

Answer: x=2