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Solving Two-Step Equations: Main Idea and Vocabulary

Learn how to solve two-step equations using different methods and examples, including equations with negative coefficients and combining like terms.

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Solving Two-Step Equations: Main Idea and Vocabulary

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 8–1) Main Idea and Vocabulary Example 1: Solve Two-Step Equations Example 2: Solve Two-Step Equations Example 3: Equations with Negative Coefficients Example 4: Combine Like Terms First Lesson Menu

  3. Solve two-step equations. • two-step equation Main Idea/Vocabulary

  4. Solve Two-Step Equations Solve 5x + 1 = 26. Method 1 Use a model. Remove a 1-tile from the mat. Example 1

  5. Solve Two-Step Equations Separate the remaining tiles into 5 equal groups. There are 5 tiles in each group. Example 1

  6. = Solve Two-Step Equations Method 2 Use symbols. Use the Subtraction Property of Equality. Write the equation. Subtract 1 from each side. Example 1

  7. Solve Two-Step Equations Use the Division Property of Equality. Divide each side by 5. Simplify. Answer: The solution is 5. BrainPop:Two-Step Equations Example 1

  8. A B C D Solve 3x + 2 = 20. Example 1

  9. Solve Two-Step Equations Write the equation. Subtract 2 from each side. Simplify. Multiply each side by 3. Simplify. Answer: The solution is –18. Example 2

  10. A B C D Example 2

  11. Equations with Negative Coefficients Write the equation. Definition of subtraction Subtract 8 from each side. Simplify. Divide each side by –3. Simplify. Answer: The solution is –2. Example 3

  12. A B C D Solve 5 – 2x = 11. Example 3

  13. Combine Like Terms First Solve 14 = –k + 3k –2. Check your solution. Write the equation. Identity Property; –k = –1k Combine like terms;–1k + 3k = (–1 + 3)k or 2k. Add 2 to each side. Simplify. Divide each side by 2. Simplify. Example 4

  14. ? 14 = –8+ 3(8) – 2 Replace k with 8. ? 14 = –8+ 24 – 2 Multiply. 14 = 14 The statement is true.  Combine Like Terms First Check 14 = –k+ 3k – 2 Write the equation. Answer: The solution is 8. Example 4

  15. A B C D Solve 10 = –n + 4n –5. Example 4

  16. End of the Lesson End of the Lesson

  17. Five-Minute Check (over Lesson 8–1) Image Bank Math Tools Graphing Equations with Two Variables Two-Step Equations Resources

  18. A B C D (over Lesson 8-1) Use the Distributive Property to rewrite the expression 8(y – 3). Simplify 7k + 9k. Five Minute Check 1

  19. End of Custom Shows

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