1. Solve the equation 2(3x+4) = 6x + 9
2. After solving, could you solve it in another way?
3. What would be the relationship between the graphs of each side of the equation?
The correct answer is empty set, meaning that there is no answer. This equation is a false equation (meaning that it leads to a contradiction).
Graphically each side of the equation represents a line and these lines are parallel to each other. 59% of high school student-pairs answered this question correctly. 57% of the participants used symbolic manipulation as their first choice of strategy.