1 / 47

Nov. 7 - Inequalities in One Variable

Algebra 1<br>middle school math <br>high school math

cocoore
Download Presentation

Nov. 7 - Inequalities in One Variable

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. chocolate with almonds day! 11.07.22 Pick up the worksheet. Do any three problems. Agenda: • Warm-up • Notes: Word Problems • Gallery Walk • Delta Math Time Would you rather have an extra arm or an extra leg? Pencil, Calculator, Spiral, Chromebook

  2. Warm-up Answers

  3. Warm-up Answers

  4. Warm-up Answers

  5. Inequalities >>>>>>>>>>>>> >>>>>>>>>>>>>

  6. Inequality Word Problems

  7. Example 1: Devin is saving money for a cruise that costs $2500. He has already saved $350. If he saves $75 each week, how long will it take for him to have at least $2500? Inequality Word Problems

  8. Example 1: Devin is saving money for a cruise that costs $2500. He has already saved $350. If he saves $75 each week, how long will it take for him to have at least $2500? Let x = number of weeks 75x + 350 > 2500 -350 -350 75x>2150 75 75 x> 28.6 It will take Devin at least 29 weeks to have enough for his trip. Inequality Word Problems

  9. Example 1: Devin is saving money for a cruise that costs $2500. He has already saved $350. If he saves $75 each week, how long will it take for him to have at least $2500? Let x = number of weeks 75x + 350 > 2500 -350 -350 75x>2150 75 75 x > 28.6 It will take Devin at least 29 weeks to have enough for his trip. Inequality Word Problems

  10. Example 1: Devin is saving money for a cruise that costs $2500. He has already saved $350. If he saves $75 each week, how long will it take for him to have at least $2500? Let x = number of weeks 75x + 350 > 2500 -350 -350 75x>2150 75 75 x > 28.6 It will take Devin at least 29 weeks to have enough for his trip. Inequality Word Problems

  11. Example 1: Devin is saving money for a cruise that costs $2500. He has already saved $350. If he saves $75 each week, how long will it take for him to have at least $2500? Let x = number of weeks 75x + 350 > 2500 -350 -350 75x>2150 75 75 x > 28.6 It will take Devin at least 29 weeks to have enough for his trip. Inequality Word Problems

  12. Example 1: Devin is saving money for a cruise that costs $2500. He has already saved $350. If he saves $75 each week, how long will it take for him to have at least $2500? Let x = number of weeks 75x + 350 > 2500 -350 -350 75x>2150 75 75 x > 28.6 It will take Devin at least 29 weeks to have enough for his trip. Inequality Word Problems

  13. Example 1: Devin is saving money for a cruise that costs $2500. He has already saved $350. If he saves $75 each week, how long will it take for him to have at least $2500? Let x = number of weeks 75x + 350 > 2500 -350 -350 75x>2150 75 75 x > 28.6 It will take Devin at least 29 weeks to have enough for his trip. Inequality Word Problems

  14. Example 1: Devin is saving money for a cruise that costs $2500. He has already saved $350. If he saves $75 each week, how long will it take for him to have at least $2500? Let x = number of weeks 75x + 350 > 2500 -350 -350 75x>2150 75 75 x > 28.6 It will take Devin at least 29 weeks to have enough for his trip. Inequality Word Problems

  15. Example 2: A rental car company charges $35 per day to rent a car and $0.10 for every mile driven. Jackie wants to rent a car knowing that she plans to drive 375 miles and she has at most $225 to spend. Write and solve an inequality to determine the number of days she can rent and stay within her budget. Inequality Word Problems

  16. Example 2: A rental car company charges $35 per day to rent a car and $0.10 for every mile driven. Jackie wants to rent a car knowing that she plans to drive 375 miles and she has at most $225 to spend. Write and solve an inequality to determine the number of days she can rent and stay within her budget. Let d = number of days $0.10(375) = $37.50 Jackie can rent the car for at most 5 days. 35d + 37.50< 225 -37.50 -37.50 35d<187.50 75 75 d < 5.357 Inequality Word Problems

  17. Example 2: A rental car company charges $35 per day to rent a car and $0.10 for every mile driven. Jackie wants to rent a car knowing that she plans to drive 375 miles and she has at most $225 to spend. Write and solve an inequality to determine the number of days she can rent and stay within her budget. Let d = number of days $0.10(375) = $37.50 Jackie can rent the car for at most 5 days. 35d + 37.50 < 225 -37.50 -37.50 35d<187.50 75 75 d < 5.357 Inequality Word Problems

  18. Example 2: A rental car company charges $35 per day to rent a car and $0.10 for every mile driven. Jackie wants to rent a car knowing that she plans to drive 375 miles and she has at most $225 to spend. Write and solve an inequality to determine the number of days she can rent and stay within her budget. Let d = number of days $0.10(375) = $37.50 Jackie can rent the car for at most 5 days. 35d + 37.50 < 225 -37.50 -37.50 35d<187.50 75 75 d < 5.357 Inequality Word Problems

  19. Example 2: A rental car company charges $35 per day to rent a car and $0.10 for every mile driven. Jackie wants to rent a car knowing that she plans to drive 375 miles and she has at most $225 to spend. Write and solve an inequality to determine the number of days she can rent and stay within her budget. Let d = number of days $0.10(375) = $37.50 Jackie can rent the car for at most 5 days. 35d + 37.50 < 225 -37.50 -37.50 35d<187.50 75 75 d < 5.357 Inequality Word Problems

  20. Example 2: A rental car company charges $35 per day to rent a car and $0.10 for every mile driven. Jackie wants to rent a car knowing that she plans to drive 375 miles and she has at most $225 to spend. Write and solve an inequality to determine the number of days she can rent and stay within her budget. Let d = number of days $0.10(375) = $37.50 Jackie can rent the car for at most 5 days. 35d + 37.50 < 225 -37.50 -37.50 35d<187.50 75 75 d < 5.357 Inequality Word Problems

  21. Example 2: A rental car company charges $35 per day to rent a car and $0.10 for every mile driven. Jackie wants to rent a car knowing that she plans to drive 375 miles and she has at most $225 to spend. Write and solve an inequality to determine the number of days she can rent and stay within her budget. Let d = number of days $0.10(375) = $37.50 Jackie can rent the car for at most 5 days. 35d + 37.50 < 225 -37.50 -37.50 35d<187.50 35 35 d < 5.357 Inequality Word Problems

  22. Example 2: A rental car company charges $35 per day to rent a car and $0.10 for every mile driven. Jackie wants to rent a car knowing that she plans to drive 375 miles and she has at most $225 to spend. Write and solve an inequality to determine the number of days she can rent and stay within her budget. Let d = number of days $0.10(375) = $37.50 Jackie can rent the car for at most 5 days. 35d + 37.50 < 225 -37.50 -37.50 35d<187.50 35 35 d < 5.357 Inequality Word Problems

  23. Example 2: A rental car company charges $35 per day to rent a car and $0.10 for every mile driven. Jackie wants to rent a car knowing that she plans to drive 375 miles and she has at most $225 to spend. Write and solve an inequality to determine the number of days she can rent and stay within her budget. Let d = number of days $0.10(375) = $37.50 Jackie can rent the car for at most 5 days. 35d + 37.50 < 225 -37.50 -37.50 35d<187.50 35 35 d < 5.357 Inequality Word Problems

  24. You Try: Gina has $650 to spend at a bike shop in Delaware (no sales tax) for some new gear and biking outfits. She buys a new bike for $275.50, two bike reflectors for $10.99 each and a pair of gloves for $23.50. She plans to spend the remaining money on new biking outfits that are $45.99 each. Write and solve an inequality which can be used to determine the number of outfits Gina can purchase while staying within her budget. Inequality Word Problems

  25. You Try: Gina has $650 to spend at a bike shop in Delaware (no sales tax) for some new gear and biking outfits. She buys a new bike for $275.50, two bike reflectors for $10.99 each and a pair of gloves for $23.50. She plans to spend the remaining money on new biking outfits that are $45.99 each. Write and solve an inequality which can be used to determine the number of outfits Gina can purchase while staying within her budget. Let x = number of outfits $275.50 + 2(10.99) + 23.50 = $320.98 Gina can purchase no more than 7 outfits. 45.99x + 320.98 < 650 -320.98 -320.98 45.99x<329.02 45.99 45.99 x < 7.154 Inequality Word Problems

  26. Travel in any order to answer the ten questions. • You may work with a partner or by yourself, but each person does their own work. • When finished, check your answers with your teacher. • Work on Delta Math when finished. Gallery Walk

  27. The shipping container can hold 105 of the 140-kg crates.

  28. Mia needs to buy at least 49 sets of knives to have enough.

  29. Solve the following inequality: (answer will contain a fraction)

  30. Solve and graph the following inequality:

  31. Solve and graph the following inequality: -1 0 1 2 3 4 5

  32. Which of these values make the inequality true? -16 -12 -11 -9 -8 -7 -5 -4 0 3

  33. Which of these values make the inequality true? -16 -12 -11 -9 -8 -7 -5 -4 0 3

  34. Solve the following inequality:

  35. 7x > 2(x - 10) 7x > 2x - 20 -2x -2x 5x > -20 5 5 x > -4 Solve the following inequality:

  36. 1 3 -9 > x - 8 +8 +8 (-1) > x -3 > x x < -3 1 3 (3) (3) -5 -4 -3 -2 -1 0 1

  37. -2x + 8 > 0 -8 -8 -2x>-8 -2 -2 x< 4 0 1 2 3 4 5 6

  38. Let x = the number of hours worked 12.50x + 125 > 300 -125 -125 12.50x>175 12.50 12.50 x> 14 She must work at least 14 hours to earn at least $300 in her next paycheck.

  39. Let x = the number of rolls of streamers 4.25x + 320 < 625 -320 -320 4.25x<305 4.25 4.25 x < 71.76 They can buy at most 71 rolls of streamers.

  40. Delta Math Time

More Related