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Solving Two-Step Equations

Solve each equation. 1. 4 b = 24 2. –4 d = 20 3. –3 c = –27 4. = –16 5. 8 p = 48 6. = –3 7. = 8 8. = –7 9. = –10. k 4. h 6. t –3. x –5. y –6. Solving Two-Step Equations. COURSE 2 LESSON 2-6. (For help, go to Lesson 2-4.). 2-6.

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Solving Two-Step Equations

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  1. Solve each equation. 1. 4b = 24 2. –4d = 20 3. –3c = –27 4. = –16 5. 8p = 48 6. = –3 7. = 8 8. = –7 9. = –10 k 4 h 6 t –3 x –5 y –6 Solving Two-Step Equations COURSE 2 LESSON 2-6 (For help, go to Lesson 2-4.) 2-6

  2. Solutions 1. 4b = 24 2. –4d = 20 3.  –3c = –27 = = = b = 6 d = –5 c = 9 4. 4( ) = 4(–16); k = –64 5. = ; p = 6 6. 6( ) = 6(–3); h = –18 7. –3( ) = –3(8); t = –24 8. –5( ) = –5(–7); x = 35 9. –6( ) = –6(–10); y = 60 –3c –3 –27 –3 4b 4 24 4 –4d –4 20 –4 8p 8 48 8 k 4 h 6 t –3 x –5 y –6 Solving Two-Step Equations COURSE 2 LESSON 2-6 2-6

  3. 6r + 19 – 19 = 43 – 19 To undo addition, subtract 19 from each side. 6r = 24Simplify. To undo multiplication, divide each side by 6. 6r 6 24 6 = r = 4 Simplify. Check 6r + 19 = 43 Check your solution with the original equation. 6(4) + 19 43Substitute 4 for r. 24 + 19 43 Multiply. 43 = 43 The solution checks. Solving Two-Step Equations COURSE 2 LESSON 2-6 Solve 6r + 19 = 43. 6r + 19 = 43 2-6

  4. a 5 a 5 – 4 = 10 a 5 – 4 + 4 = 10 + 4 First undo subtraction. = 14Simplify. a 5 a 5 5 = 5(14) Then undo division. Solving Two-Step Equations COURSE 2 LESSON 2-6 Solve – 4 = 10. a = 70 2-6

  5. s 4 v 5 Solving Two-Step Equations COURSE 2 LESSON 2-6 Solve each equation. 1. 9r + 7 = 79 2. – 6 = 14 3. 3t – 4 = 44 4. + 6 = –1 r = 8 s = 80 t =16 v =–35 2-6

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