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2.5 Solving Two-Step Equations. I can solve two-step equations by using inverse operations. Requires 2 steps to solve. Involves 2 operations Uses properties of equality and inverse operations to solve. Isolate the variable. Ex:. What is a two-step equation?.
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2.5 Solving Two-Step Equations I can solve two-step equations by using inverse operations.
Requires 2 steps to solve. • Involves 2 operations • Uses properties of equality and inverse operations to solve. • Isolate the variable. • Ex: What is 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 Writing a two-step equation
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 How to Solve
Operations • Subtraction and division • Undo • Multiply by 3: x – 7 = -36 • Add 7: -29 • Solution: x = -29 Solving with 2 Terms in the Numerator
-t + 8 = 3 • t = 5 • a = 12 • x = 26 Practice
An 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 Using an Equation as a Model
ODDS ONLY • P.83 #5-37 Assignment