Question 1: Write the equation of a line that passes through the point (3, 7) with a slope of 2 in the form y = mx + c.

Answer: y=2x+1

Question 2: Calculate the value of y when x = 4 for the equation y = 3x + 2.

Answer: 14

Question 3: Given y = -2x + 5, find y when x = -1.

Answer: 7

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

Answer: See full answer key

Question 5: Construct a line with a slope of -1 passing through the point (2, 4). Write its equation in y = mx + c form.

Answer: y=-x+6

Question 6: Solve the system: y = 2x + 1 and y = -x + 4. Find the point of intersection.

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

Question 7: A taxi charges $3 per mile plus a fixed fee of $5. Write an equation for the total cost C in terms of miles x. Then, calculate the cost for 10 miles.

Answer: {"equation":"C=3x+5","cost_for_10_miles":"35"}

Question 8: A car rental company charges y = 25 + 0.2x, where y is the total cost and x is the number of days. Find the total cost for 7 days and interpret the meaning of the slope.

Answer: {"total_cost":"26.4","slope_interpretation":"The cost increases by $0.20 for each additional day."}

Question 9: Identify and correct the mistake: The equation y = 4x - 2 is written as y = -4x + 2.

Answer: The signs are wrong; correct form is y=4x-2.

Question 10: Challenge: The line y = 3x + c passes through (2, 8). Find the value of c.

Answer: 2

Question 11: Construct the equation of a line with a slope of 0.5 passing through the origin. Write the equation in y = mx + c form.

Answer: y=0.5x