Assessment Problem:

1. Solve the equation 2x+3=5x−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?

Common Responses:

The correct answer is {4}, it has a unique solution.

Graphically each side represents a line and the answer represents the intersection of the lines. 89% of high school student-pairs answered this question correctly. Symbolic manipulation was the first and only choice of solution strategy for this question.

Domain:

Algebraic Relations

Theme:

Solving equations

Common Core Standards:

6.EE Expressions and Equations

Research References:

(Huntley, Marcus, Kahan, & Miller, 2007)