Question 1: Rewrite the equation 3x - 2y = 6 in the form y = mx + c.

Answer: y = (3/2)x - 3

Question 2: Given y = 2x + 1, find the value of y when x = 4.

Answer: 9

Question 3: Solve the system: y = 3x + 2 and y = -x + 4, using substitution.

Answer: x = 0, y = 2

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

Answer: See full answer key

Question 5: Construct a line with slope 1/2 passing through the point (2, 3).

Answer: y = (1/2)x + 2

Question 6: If y = -4x + 5, what is the y-intercept?

Answer: 5

Question 7: Determine the value of x when y = 7 in the equation y = 2x + 1.

Answer: 3

Question 8: Solve for x and y: y = 4x - 1 and y = -2x + 7.

Answer: x = 2, y = 7

Question 9: Explain why the equations y = 2x + 3 and y = 2x - 1 do not intersect.

Answer: They are parallel lines with the same slope but different y-intercepts.

Question 10: A line passes through (1, 2) and has a slope of 3. Write its equation in y = mx + c form.

Answer: y = 3x - 1

Question 11: Identify the common mistake: Students often write the equation y = mx + c as y = c + mx. Is this acceptable? Explain.

Answer: Yes, since addition is commutative. However, the standard form is y = mx + c, which places the x term first.