Question 1: Simplify the expression \( 3x^2 + 5x^2 \).

Answer: 8x^2

Question 2: Solve for \( x \): \( x^2 = 49 \).

Answer: ±7

Question 3: Expand the expression: \( (2x)^2 \).

Answer: 4x^2

Question 4: If \( y = 3x^2 + 2 \), find the value of \( y \) when \( x = 4 \).

Answer: 50

Question 5: Rewrite the formula \( A = kx^2 + 3x \) to make \( x \) the subject.

Answer: This is a complex rearrangement; students should isolate x using algebraic steps.

Question 6: Calculate the value of \( 5a^2 - 2a^2 + 3a \) when \( a = -2 \).

Answer: 3

Question 7: Construct a quadratic expression representing the sum of squares of two variables, \( x \) and \( y \).

Answer: x^2 + y^2

Question 8: Plot the graph of \( y = x^2 \) on the grid.

Answer: Students draw the parabola.

Question 9: Solve: \( 4x^2 = 100 \).

Answer: ±5

Question 10: A rectangle has length \( l = 2x \) and width \( w = x^2 \). Write an expression for the area in terms of \( x \).

Answer: A = 2x * x^2 = 2x^3

Question 11: Identify the error in simplifying \( 3a^2 + 2a^2 = 6a^2 \).

Answer: The mistake is in the addition; correctly, it should be 5a^2.

Question 12: Challenge: Given \( y = 5x^2 + 4 \), find \( x \) when \( y = 69 \).

Answer: x = ±√(13/5)