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Mastering One-Step Equations: Inverse Operations and Real-Life Applications

This lesson focuses on solving one-step equations and understanding key vocabulary such as inverse operations and equivalent equations. Learn how to isolate the variable on one side of the equation and check your solutions by substituting values back in. We also explore real-life applications through engaging problems, such as finding the perimeter of an equilateral triangle and solving questions related to junk mail and pizza costs. By the end, you'll have a solid grasp of the techniques for simplifying and solving equations efficiently.

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Mastering One-Step Equations: Inverse Operations and Real-Life Applications

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  1. Section 3.1 Solving One-Step Equations

  2. Vocabulary: Inverse Operations:________________________________________________. Equivalent Equations:______________________________________________. To solve an equation, you must _______________________________________. two operations that undo each other equations that have the same solutions isolate the variable on one side of the = sign

  3. Solving and equation using addition or subtraction • 1. 2. 3. Always circle your final answer

  4. How can you check your answers _______________________________________? Does for the equation ? Why Substitute the value back in for the variable Yes, -2 is a solution for the equation

  5. Match the real life problems with equation. 9-x=7

  6. Geometry application: An equilateral triangle has a perimeter of 42 inches. Write and solve an equation to find the length of the side of the triangle. P=42 Each side of the triangle is 14 inches

  7. The inverse operation of multiplication is ______________ The inverse operation of division is _________________ division multiplication

  8. Write and solve an equation to answer the question. • Each household in the United States receives about 676 pieces of junk mail per year. About how many pieces does a household receive per week? • You ate three of the eight pizza slices and you paid $3.30 as your share of the cost. How much did the whole pizza cost? Hint: 52 weeks per year Each household receives about 13 pieces of junk mail per week The whole pizza cost $8.80

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