Tuesday, September 10 th Please complete the warm up 

1. Solve: 3x + 5 < 12 2. Solve: -2(k-8) ≥ 20 Tuesday, September 10th Please complete the warm up 

2. How do I know if I should have an empty circle or solid circle on my inequality graph?

3. How can I tell what direction to shade on my graph?

4. When you multiply or divide by a ___________number to both sides of the inequality you must reverse the inequality symbol

5. Homework Answers

6. 45 + 2b > 61 –45 –45 b > 8 0 2 4 6 8 10 14 20 12 18 16 Warm UP! #1 Solve the inequality and graph the solutions. 45 + 2b > 61 Since 45 is added to 2b, subtract 45 from both sides to undo the addition. 2b > 16 Since b is multiplied by 2, divide both sides by 2 to undo the multiplication.

7. –12 ≥ 3x + 6 – 6 – 6 –8 –10 –6 –4 0 2 4 6 8 10 –2 Make sure variable is on the left!!! #2 –12 ≥ 3x + 6 Since 6 is added to 3x, subtract 6 from both sides to undo the addition. –18 ≥ 3x Since x is multiplied by 3, divide both sides by 3 to undo the multiplication. –6 ≥ x x≤-6

8. 5t + 1 < –2t – 6 +2t +2t 7t + 1 < –6 – 1 < –1 7t < –7 7t < –7 7 7 t < –1 –4 –1 5 –3 –2 0 1 2 3 4 –5 #4 5t + 1 < –2t – 6 To collect the variable terms on one side, add 2t to both sides. Since 1 is added to 7t, subtract 1 from both sides to undo the addition. Since t is multiplied by 7, divide both sides by 7 to undo the multiplication.

9. #5 Challenge Problem

10. Group Problems

11. Turn on the AC when temperature is at least 85°F t 85 ≥ 75 70 80 85 90 #1 Ray’s dad told him not to turn on the air conditioner unless the temperature is at least 85°F. Define a variable and write an inequality for the temperatures at which Ray can turn on the air conditioner. Graph the solutions. Let t represent the temperatures at which Ray can turn on the air conditioner. Draw a solid circle at 85. Shade all numbers greater than 85 and draw an arrow pointing to the right. t 85

12. 1 Understand the problem #2 Sami has a gift card. She has already used $14 of the total value, which was $30. Write, solve, and graph an inequality to show how much more she can spend. The answer will be an inequality and a graph that show all the possible amounts of money that Sami can spend. List important information: • Sami can spend up to, or at most $30. • Sami has already spent $14.

13. Make a Plan Amount remaining is at most plus amount used $30. g + 14 ≤ 30 2 Write an inequality. Let g represent the remaining amount of money Sami can spend. g + 14 ≤ 30

14. 3 Solve – 14 – 14 0 2 4 6 8 10 14 10 12 18 16 Since 14 is added to g, subtract 14 from both sides to undo the addition. g + 14 ≤ 30 g + 0 ≤ 16 g ≤ 16 Draw a solid circle at 0 and16. Shade all numbers greater than 0 and less than 16. The amount spent cannot be negative.

15. Check a number less than 16. Check the endpoint, 16. g + 14 ≤ 30 g + 14 = 30 6 + 14 ≤ 30 16 + 14 30 30 30  20 ≤ 30  4 Look Back Check Sami can spend from $0 to $16.

16. daily cost at We Got Wheels Cost at Rent-A-Ride must be less than $0.20 per mile # of miles. plus times 55 < 38 m + 0.20  #3 To rent a certain vehicle, Rent-A-Ride charges $55.00 per day with unlimited miles. The cost of renting a similar vehicle at We Got Wheels is $38.00 per day plus $0.20 per mile. For what number of miles is the cost at Rent-A-Ride less than the cost at We Got Wheels? Let m represent the number of miles. The cost for Rent-A-Ride should be less than that of We Got Wheels.

17. 55 < 38 + 0.20m –38 –38 55 < 38 + 0.20m Since 38 is added to 0.20m, subtract 38 from both sides to undo the addition. 17 < 0.20m Since m is multiplied by 0.20, divide both sides by 0.20 to undo the multiplication. 85 < m Rent-A-Ride costs less when the number of miles is more than 85.

18. Inequality Match