Johnny took some rope on a camping trip. He used 32 feet to tie his canoe, then gave 1/3 of the remaining rope to others. He later used half the rope left to secure his tent. On the last day, he used 7 feet as a fish stringer. After the trip he had 9 feet left. The question is: how much rope did he have to begin with?

1. Actual, extra credit (not like last time) TURN IN YOUR TEST THEN START: Johnny took some rope with him on his camping trip. He used 32 feet of rope to tie his canoe to a log on the shore. He then gave 1/3 of the remaining rope to some fellow campers who also needed to tie their canoes. The next night, he used half of the remaining rope to secure his tent during a thunderstorm. On the last day, he used 7 feet as a fish stringer to keep the fish that he caught. After the camping trip, he had 9 feet left. How much rope did he have at the beginning of the camping trip?

2. Section 3.4 Solving Multi-Step Equations

3. Algebraic Equations Multiplication with Subtraction 2x = 10 2x = 10 2 2 x = 5

4. Algebraic Equations Multiplication with Subtraction x – 4 = 8 +4 +4 x = 12

5. Algebraic Equations Multiplication with Subtraction x 4 = 10 (4) (4) x = 40

6. Algebraic Equations Multiplication with Addition x = 6 x = 18/2 = 9 (HINT) Reciprocal 2 3 3 2 3 2

7. Algebraic Equations Multiplication with Subtraction 2x – 4 = 8 +4 +4 2x = 12 2 2 x = 6

8. Algebraic Equations Multiplication with Addition 5x + 10 = 80 -10 -10 5x = 70 5 5 x = 14

9. Algebraic Equations Multiplication with Subtraction -3x – 4 = -82 +4 +4 -3x = -78 -3 -3 x = 26

10. Algebraic Equations Multiplication with Addition 2/3x + 2 = 8 -2 -2 x = 6 x = 18/2 = 9 (HINT) Reciprocal 2 3 3 2 3 2

11. Algebraic Equations Division with Addition x/5 + 2 = 8 -2 -2 = 6 x = 30 x 5 (5) (5)

12. Algebraic Equations Division with Addition = 7 X + 10 = 28 X + 10 4 (4) (4)

13. Algebraic Equations Division with Addition = 6 X - 13 = 30 x - 13 5 (5) (5)

14. Algebraic Equations C.L.T. -20 -20 10x = 60 10 4x +6x + 20 = 80 10x + 20 = 80 10 x = 6 ( )

15. 12 12 +12 +12 X = 5 7x + 5x - 12 = 48 12x - 12 = 48 12x = 60 Algebraic Equations Distributive Property

16. Algebraic Equations C.L.T. -12 -12 5x = 80 5 3x + 2x + 20 - 8 = 92 5x + 12 = 92 5 x = 16 ( ) ( )

17. THE END Homework: Study Review Sheet Quiz Tomorrow!! Use Worksheets & Notes to review and practice for the test.