Before this lesson your students should have previously learned how to write equations. This involves:
(a) translating sentences into equations,
(b) translating equations into sentences,
(c) solving one-step equations using addition and subtraction and
(d) solving simple equations using multiplication or division. Now students will learn how to solve multi-step equations.
Common Core State Standards
A.REI.1: Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
A.REI.3: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Look for and express regularity in repeated reasoning.
- Applying order of operations and inverse operations to solve equations
- Constructing an argument to justify my solution process
What is one problem-solving strategy used to solve multi-step equations?
Answer: Working backwards or using the order of operations in reverse.
Inverse operation, isolate, variable, constant, reciprocal, coefficient