COURSE 2 LESSON 2 6 Solving TwoStep Equations

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

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

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

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

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