Question 1: Rewrite the equation y = 3x + 2 in the form suitable for substitution.

Answer: y = 3x + 2

Question 2: Calculate the value of y when x = 4 for the equation y = -2x + 7.

Answer: -1

Question 3: Solve for x and y: y = 2x + 1 and y = -x + 4. Use substitution.

Answer: {"x":"1","y":"3"}

Question 4: A line passes through points where y = 0.5x + 1 and y = -x + 4. Find the intersection point.

Answer: {"x":"1","y":"1.5"}

Question 5: Construct a pair of equations in y = mx + c form that are parallel and do not intersect.

Answer: y = 2x + 3 and y = 2x - 4

Question 6: Given y = -3x + 5, find the value of y when x = -2.

Answer: 11

Question 7: A graph shows the line y = 4x - 1. Another line is y = -x + 2. Find their point of intersection.

Answer: {"x":"0.6","y":"1.4"}

Question 8: Identify and correct the mistake: Given y = 5x + 2, a student solves the simultaneous equations y = 5x + 2 and y = -3x + 8, but gets x = 3, y = 17.

Answer: Correct x = 1, y = 7

Question 9: Plot the graph of y=2x on the grid provided. (Describe the line's slope and intercept.)

Answer: Slope = 2, y-intercept = 0

Question 10: Challenge: Find the equation of a line parallel to y = -x + 3 passing through the point (2, 5).

Answer: y = -x + 7