2.5 Solving Two-Step Equations I can solve two-step equations by using inverse operations.

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Presentation transcript:

2.5 Solving Two-Step Equations I can solve two-step equations by using inverse operations.

What is a two-step equation? Requires 2 steps to solve. ◦Involves 2 operations Uses properties of equality and inverse operations to solve. ◦Isolate the variable. Ex:

Writing a two-step equation Suppose you are ordering roses. Roses cost $5 each and shipping costs $10. Your cost depends on how many roses you buy. Define your variables ◦Let r be the number of roses Shipping is only paid once ◦10 + 5r How many roses did you buy if you spend $70? ◦10 + 5r = 70

How to Solve Identify operations Use inverse operations to “undo” them Undo 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

Practice

Using an Equation as a Model

Assignment ODDS ONLY P.83 #5-37