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Warm Up Solve. 1. 3x = 102 2. = 15 3. z – 100 = 21 4. 1.1 + 5w = 98.6 x = 34 y = 225 z = 121 w = 19.5 y 15

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Solving Multi-Step Equations 11-2 Learn to solve multi-step equations.

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Solving Multi-Step Equations 11-2 To solve a multi-step equation, you may have to simplify the equation first by combining like terms or by using the Distributive Property.

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Solving Multi-Step Equations 11-2 Solve. 8x + 6 + 3x – 2 = 37 Example 1: Solving Equations That Contain Like Terms 11x + 4 = 37 Combine like terms. – 4 – 4 Subtract 4 from both sides. 11x = 33 x = 3 Divide both sides by 11. 33 11 11x 11 =

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Solving Multi-Step Equations 11-2 Check Example 1 Continued 8x + 6 + 3x – 2 = 37 8(3) + 6 + 3(3) – 2 = 37 ? 24 + 6 + 9 – 2 = 37 ? 37 = 37 ? Substitute 3 for x.

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Solving Multi-Step Equations 11-2 Solve. 9x + 5 + 4x – 2 = 42 Example 2 13x + 3 = 42 Combine like terms. – 3 – 3 Subtract 3 from both sides. 13x = 39 x = 3 Divide both sides by 13. 39 13 13x 13 =

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Solving Multi-Step Equations 11-2 Check Example 2 Continued 9x + 5 + 4x – 2 = 42 9(3) + 5 + 4(3) – 2 = 42 ? 27 + 5 + 12 – 2 = 42 ? 42 = 42 ? Substitute 3 for x.

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Solving Multi-Step Equations 11-2 Example 3 Solve. 7.5x + 3 – 3.5x = -15

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Solving Multi-Step Equations 11-2 Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

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Solving Multi-Step Equations 11-2 Solve. 1.6x + 3x – x + 9 = 33 2. 8x + 16 + 5 = 29 Lesson Quiz x = 1 x = 3

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Solving Multi-Step Equations 11-2 1. Solve 4p + 13 + 11p = 88 A. p = 5 B. p = 7 C. p = 75 D. p = 91 Lesson Quiz for Student Response Systems

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Solving Multi-Step Equations 11-2 1. 8y – 4 – 7y = 11 2. r + 5r + 5 = -25 3. 2x + 2 + 5x = 23 4. 9w – 12w – 2 = 7 5. 7a – 8 – 3a = 8 6. 24 – 7x + 5x = 38

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Solving Multi-Step Equations 11-2 1. 8.2x + 4 – 13.7x = -7 2. 0.6x – 4.4 – 4.8x = 4 Index Cards

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Solving Multi-Step Equations 11-2 DAY TWO Multi-Step Equations Complete distributive property, then combine, then solve.

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Solving Multi-Step Equations 11-2 Solve. 4(x – 6) + 7 = 11 Example 1: Solving Equations That Contain Like Terms 4(x – 6) + 7 = 11 Distributive Property + 17 +17 Add 17 to both sides. x = 7 Divide both sides by 4. 4x = 28 44 4(x) – 4(6) + 7 = 11 4x – 24 + 7 = 11 Simplify by multiplying: 4(x) = 4x and 4(6) = 24. 4x – 17 = 11 Simplify by adding: –24 + 7 = 17.

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Solving Multi-Step Equations 11-2 Solve. 4x – 8(x + 1) = 8 Example 2: Solving Equations That Contain Like Terms 4x – 8(x + 1) = 8Distributive Property + 8 +8 Add 8 to both sides. x = -4 Divide both sides by -4. -4x = 16 -4 4x – 8(x) – 8(1) = 8 4x – 8x – 8 = 8 Simplify by multiplying: 8(x) = 8x and 8(1) = 8. -4x – 8 = 8 Simplify by subtracting: 4x – 8x.

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Solving Multi-Step Equations 11-2 Solve these 2 examples 1.8(g + 2) + 3g – 6 = 76 2.6(j – 7) + 10j + 8 = 37

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Solving Multi-Step Equations 11-2 Solve these 2 examples 3. 7x – (x + 18) = -6 4. 3c – 3(6 – 2c) = 27

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Solving Multi-Step Equations 11-2 2. Solve 4(x + 3) + 5 = 109 A. x = 4 B. x = 23 C. x = 26 D. x = 101 Lesson Quiz for Student Response Systems

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