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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Presentation transcript:

Warm Up Solve. 1. 3x = = z – 100 = w = 98.6 x = 34 y = 225 z = 121 w = 19.5 y 15

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

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.

Solving Multi-Step Equations 11-2 Solve. 8x x – 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 x 11 =

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

Solving Multi-Step Equations 11-2 Solve. 9x x – 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 x 13 =

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

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

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

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

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

Solving Multi-Step Equations y – 4 – 7y = r + 5r + 5 = x x = w – 12w – 2 = a – 8 – 3a = – 7x + 5x = 38

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

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 Add 17 to both sides. x = 7 Divide both sides by 4. 4x = (x) – 4(6) + 7 = 11 4x – = 11 Simplify by multiplying: 4(x) = 4x and 4(6) = 24. 4x – 17 = 11 Simplify by adding: – = 17.

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 Add 8 to both sides. x = -4 Divide both sides by x = x – 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.

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

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

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