Solving Multi-Step Equations

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Solving Multi-Step Equations COURSE 3 LESSON 2-4 Solve 9 + 2p = –3 – 4p. 9 + 2p = –3 – 4p 9 + 2p + 4p = –3 – 4p + 4p Add 4p to each side. 9 + 6p = –3 Combine like terms. 9 – 9 + 6p = –3 – 9 Subtract 9 from each side. 6p = –12 Simplify. Divide each side by 6. 6p 6 –12 = p = –2 Simplify. 2-4

Solving Multi-Step Equations COURSE 3 LESSON 2-4 (continued) Check 9 + 2p = –3 – 4p 9 + 2(–2) –3 – 4(–2) Substitute –2 for p. 5 = 5 The solution checks. 2-4

Solving Multi-Step Equations COURSE 3 LESSON 2-4 Solve 3(k – 8) = –k. 3(k – 8) = –k 3k – 3k – 24 = –k – 3k Subtract 3k from each side. 3k – 24 = –k Use the Distributive Property. –24 = –4k Combine like terms. Divide each side by –4. –24 –4 = –4k 6 = k Simplify. 2-4

Solving Multi-Step Equations COURSE 3 LESSON 2-4 (continued) Check 3(k – 8) = –k 3(6 – 8) –6 Substitute 6 for k. –6 = –6 The solution checks. 2-4

Solving Multi-Step Equations COURSE 3 LESSON 2-4 1. Solve 4(3u –1) = 20. 2. Solve 5t – 4 = t – 8. 2 –1 2-4