Question 1: Simplify the expression: 3x - 2 + (-5x) + 4

Answer: -2x + 2

Question 2: Calculate: -7 + 4 - (-3) + 10

Answer: See full answer key

Question 3: Simplify: -2(3x - 4) + 5x - (-6)

Answer: See full answer key

Question 4: Plot the graph of y = -2x + 3 on the grid provided.

Answer: Students will plot y=-2x+3

Question 5: Construct a triangle on the grid with sides of lengths 5, -3, and 4 units, ensuring the lengths make sense in the context of the coordinate plane.

Answer: Students will draw a triangle where side lengths correspond to the specified distances, considering negatives as directions or differences.

Question 6: Simplify: (-x + 2) + (3x - 5) + (-2x + 4)

Answer: 0

Question 7: Solve for x: -3x + 7 = 2x - 8

Answer: x=3

Question 8: Identify the mistake: Simplify -4 + 6 - (-2) as -4 + 6 + 2 = 4.

Answer: The mistake is in the step where -(-2) becomes +2, but the initial calculation is correct; students must recognize that the simplification is correct, but the mistake is in the interpretation of signs.

Question 9: Extend: If 2x - 3 = 7, find the value of x, considering negative coefficients.

Answer: x=5

Question 10: Calculate: (-3)^2 + (-4)^2

Answer: See full answer key

Question 11: Challenge: Simplify the expression involving negatives: (-x + 3) - (2x - 5) + (-4x + 2).

Answer: -7x + 0