Formative Assessment 29

Assessment Problem: 

Is there a value for x that will make
(2x-6)(x-3)<0 true?

Common Responses: 

(2x-6) > 0 and (x-3) < 0, so x>3 and x<3
OR
(2x-6) < 0 and (x-3) > 0, x < 3 and x < 3
No solution

Mathematical Issues: 

Students are encouraged to think about what the question is asking—how can the product of two numbers be negative?

Domain: 
Algebraic Relations
Theme: 
Equations & Inequalities
Common Core Standards: 
7.EE: Expressions and Equations
Research References: 
Reference (Lim, 2006)