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Published byDenis Bond Modified over 3 years ago

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Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative Coefficients

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Example 2-1a Method 1 Use a model. Remove 1-tile from the mat. Solve

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Example 2-1a Separate the remaining tiles into 5 equal groups. There are 5 tiles in each group.

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Example 2-1a Method 2 Use symbols. Use the Subtraction Property of Equality. Use the Division Property of Equality. Write the equation. Subtract 1 from each side. Simplify. Divide each side by 5. Answer: The solution is 5.

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Example 2-1b Answer: 6 Solve

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Example 2-2a Method 1 Vertical Method Write the equation. Add 8 to each side. Simplify. Divide each side by 2. Simplify. Check your solution. Solve

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Example 2-2a Answer: The solution is 21. Method 2 Horizontal Method Write the equation. Add 8 to each side. Simplify. Divide each side by 2. Simplify. The sentence is true. Write the equation. Check Replace n with 21.

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Example 2-2b Answer: 9 Check your solution. Solve

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

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Example 2-3b Answer: –26 Solve

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Example 2-4a Answer: The solution is –2. Write the equation. Subtract 8 from each side. Simplify. Divide each side by –3. Simplify. Definition of subtraction Solve

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Example 2-4b Answer: –3 Solve

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Example 2-4b Check your solution. Write the equation. Combine like terms; Simplify. Divide each side by 2. Add 2 to each side. Identity Property; Simplify. Solve

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Example 2-4b Answer: The solution is 8. Write the equation. Multiply. The statement is true. Check Replace k with 8.

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Example 2-4b Answer: 5 Solve

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End of Lesson 2

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