Question 1: Examine the six different equations that follow. Determine which pairs of equations have one solution, no solution, and infinite solutions.

Question

• Put a circle around the two equations that have infinite solutions.
• Put a square around the two equations that have no solution.
• Underline the two equations that have one solution.

2x + 3 = 2x + 7 7x + 3 = 7x + 3 4x + 22 = 8x + 10
5x + 5 = 5x + 4 3x + 18 = 5x + 8 3(4x + 8) = 4(3x + 6)

Answer 1

The equation with infinite solutions is 7x + 3 = 7x + 3.
The equation with no solution is 4x + 22 = 8x + 10.
The equation with one solution is 3x + 18 = 5x + 8.