2.2 Solving Two-Step Equations

I can solve two-step equations in one variable.

What is a two-step equation?Requires 2 steps to solve.

◦Involves 2 operationsUses properties of equality and inverse

operations to solve.◦Isolate the variable.

Ex:

How to SolveIdentify operationsUse inverse operations to “undo” themUndo operations in reverse order

Ex: 2x+3 = 15◦Multiplication and addition

Undo ◦Subtract 3: 2x = 12◦Divide by 2: x = 6

Solution: x = 6

Solving with 2 Terms in the Numerator

Operations◦Subtraction and division

Undo◦Multiply by 3: x – 7 = -36◦Add 7: -29

Solution: x = -29

Practice-t + 8 = 3

◦t = 5

◦a = 12

◦x = 26

Using an Equation as a ModelAn advertisement for community service

opportunities uses half a sheet of paper per ad and 5 sheets for a title banner. If you have 18 sheets, how many ads can be made?

What do we know?What are we looking for?Write an equation.

Solve.a = 26

AssignmentODDS ONLYP.91 #11-33, 39-45, 51