Unit 4, Lesson 7# Classification of Solutions

EngageNY 45 min(s)

Students know the conditions for which a linear equation has a unique solution, no solution, or infinitely many solutions. The key parts of the discussion are those that point out the characteristics of the constants and coefficients of an equation that allow students to see the structure in equations that lead to a unique solution, no solution, or infinitely many solutions. Go through the discussion with students, or use the activity on page 80 of this lesson. The activity requires students to examine groups of equations and make conclusions about the nature of their solutions based on what they observe, leading to the same result as the discussion.