Objectives
Students should be able to solve a linear equation of the form \(ax+b = cx+d\) and interpret the solution in terms of the equation or context as well as recognize when one solution strategy might be more efficient than another
Vocabulary
linear equation
solution
identity
This lesson allows students to deepen their understanding of solution strategies for equations in one variable.
Students may be challenged when looking for solution pathways that are non-routine.
Answer: d. \(3x-4=2x+7\)
Solving linear equations with rational number coefficients can combine a variety of methods.
Students solve equations by a variety of solution strategies and compare solution pathways based on elegance and efficiency.
Encourage students to explore solution pathways they might not have initially seen in order to develop flexibility in solving equations.
