Lesson 3: Solving Two-Step Equations

How do we isolate a variable to find a solution to a one-step linear equation?

How can you check that your solution is correct?

Inverse operations; Equality

2G (CCS HSA.REI.A.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.

Multi-step equations involve more than one operation. These equations can be solved using distribution, CLT, the properties of equality, inverse operations and the strategy of undoing each operation by working backward. In number theory, multi-step equations are written and solved to understand the relationship between numbers.

Susan had a $10 coupon for the purchase of any item. She bought a coat that was on sale for 1/2 its original price. After using the coupon, Susan paid $125 for the coat before taxes. What was the original price of the coat? Write an equation for the problem. Then solve the equation.

Class and online work

Use practice problem 5, page 90 to assess students' understanding of the lesson concepts