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Published byElaine Horn Modified over 6 years ago

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Multi-Step Equations Unit 3.08 I can solve multi-step equations that use the distributive property.

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Solving Multi-Step Equations: To solve some multi- step equations, you first need to use the distributive property. Vocabulary Example: 4(x + 2) = 4x + 8

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Vocabulary Example: Step 1: ________________ 3(y – 5) = 7y + 9 Step 2: ________________ Step 3: ________________ Step 4: ________________ y = ____________ y = –6 – 3y -6 Subt. 3y from both sides Subt. 9 from both sides 3y – 15 = 7y + 9 44 Distribute 3 –9 –24 = 4y –15 = 4y + 9 Divide by 4 on both sides

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Let’s Practice! Solve each multi-step equation. 1. Step 1: ________________ –6 + 7h = –2(h – 6) Step 2: ________________ Step 3: ________________ Step 4: ________________ h = ___________ 2 Add 2h to both sides Add 6 to both sides Distribute -2 Divide by 9 on both sides

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Let’s Practice! Solve each multi-step equation. 2. Step 1: ________________ –63 = 8b – 3(b + 1) Step 2: ________________ Step 3: ________________ Step 4: ________________ b = ___________ -12 Combine like terms Add 3 to both sides Distribute -3 Divide by 5 on both sides

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Let’s Practice! Solve each multi-step equation. 3. Step 1: ________________ 5m + 24 = 7(m + 2) Step 2: ________________ Step 3: ________________ Step 4: ________________ m = ___________ 5 Subt. 5m from both sides Subt. 14 from both sides Distribute 7 Divide by 2 on both sides

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Let’s Practice! Solve each multi-step equation. 4. Step 1: ________________ 7(–p + 3) – 14p = 108 Step 2: ________________ Step 3: ________________ Step 4: ________________ p = _____________ -4.143 Combine like terms Subt. 21 from both sides Distribute 7 Divide by -21 on both sides

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Let’s Practice! Solve each multi-step equation. 5. Step 1: ________________ 3(2w + 2) + 15w = 174 Step 2: ________________ Step 3: ________________ Step 4: ________________ w = ___________ 8 Combine like terms Subt. 6 from both sides Distribute 3 Divide by 21 on both sides

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Homework Time! 3.08 Distribute This! part 1 WS I can solve multi-step equations that use the distributive property.

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