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Solving Two-Step Equations: Examples and Real-World Applications

This guide presents examples of solving two-step equations and applies these concepts to real-world situations. Start with the basics: learn to undo operations in reverse order, tackle equations like 18 + 3x = 30, and check your answers. Explore practical applications, such as budgeting for DVDs and CDs after earnings through babysitting. Understand how to write and solve the equations that represent these scenarios. Ideal for students looking to master two-step equations and their applications.

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Solving Two-Step Equations: Examples and Real-World Applications

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  1. Solving Two-Step Equations #34

  2. Example 1 Solve each equation. • 18 + 3x = 30

  3. Helpful Hint Undo operations in the reverse of the Order of Operations. First undo addition or subtraction. Then undo multiplication or division. FYI

  4. Example 2 • Solve. Check the answer. x 3 – 2 = 1

  5. Example 3 Solve. Check the answer. x + 19 4 = 6

  6. Example 4 Solve each equation . x – 16 = 9 3

  7. Example 5 Solve. Check the answer. x - 9 10 = 49

  8. Example 6 The rule for a certain function is to multiply the input by 5 and subtract 4. Find the input value when the output is 11.

  9. Real-world Application 1 • Kaia earned $425 last week. She wants to put $350 in the bank and buy some DVDs. Each DVD costs $25. Write a two-step equation to represent the situation. Then solve the equation. How many DVDs can she buy?

  10. Real-world Application 2 Nancy saved $87 of the money she made babysitting. She wants to buy CDs that cost $15 each, along with a set of headphones that costs $12. How many CDs can she buy?

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