Question 1: Simplify the expression: x² + 2x + 1.

Answer: (x+1)²

Question 2: Expand and simplify: (3x + 2)².

Answer: 9x² + 12x + 4

Question 3: Solve for x: x² = 49.

Answer: ±7

Question 4: Rewrite the formula: A = kx², solving for x.

Answer: x = √(A/k)

Question 5: Construct a quadratic expression that factors into (x + 4)(x - 3).

Answer: x² + x - 12

Question 6: Identify and correct the mistake: (x + 2)² = x² + 4.

Answer: The correct expansion is x² + 4x + 4. The mistake is missing the 4x term.

Question 7: Calculate the value of x if 4x² - 16 = 0.

Answer: x = ±2

Question 8: Plot the graph of y = x² + 2x + 1 on the provided grid.

Answer: Student plots parabola with vertex at (-1, 0).

Question 9: Solve for x: (x - 3)² = 16.

Answer: x = 3 ± 4

Question 10: A rectangle has sides x and x + 2. Express its area in terms of x, involving squared terms.

Answer: Area = x(x + 2) = x² + 2x

Question 11: Factor the quadratic: 2x² + 8x + 6.

Answer: 2(x + 1)² + 4

Question 12: Identify the common mistake: Simplify (x + 3)² = x² + 6x.

Answer: The mistake is missing the + 9 term; correct expansion is x² + 6x + 9.