Absolute Value Equations - Partner Activity "Find a Common Root"

In this engaging and collaborative partner activity, students will practice solving absolute value equations having rational solutions. The equations are specially selected so each pair or equations have a common root. The problems are three different types

▸ ∣ax + b∣ = c, c ≧0
▸ ∣ax + b∣ = cx + d
▸ ∣ax + b∣ = ∣cx + d∣

Extraneous solutions are possible.

Activity Directions: There are 24 problems total, separated into two sets.

Partners start solving their own set of twelve equations by the most appropriate method and check for extraneous solutions. They must determine the common root between each two partners’ corresponding equations. ( For instance, the equations (1a) and (1b) are corresponding and have one common root, similarly the equations (2a) and (2b)… ). Partners record their answers and mark the common roots in a table given OR they record each common root in the area of each pair of intersecting ellipses on a figure given.

Student recording sheets are provided for partners to show all work.

An answer key is included.