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Linear Inequalities

Math · Algebra · 47 questions · every one comes with a full explanation.

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  1. 1A cargo helicopter delivers only 100-pound packages and 120-pound packages. For each delivery trip, the helicopter must carry at least 10 packages, and the total weight of the packMedium · Algebra
  2. 2The point (8,2) in the xy-plane is a solution to which of the following systems of inequalities?Easy · Algebra
  3. 3Adam's school is a 20-minute walk or a 5-minute bus ride away from his house. The bus runs once every 30 minutes, and the number of minutes, w, that Adam waits for the bus varies bHard · Algebra
  4. 4Marisa needs to hire at least 10 staff members for an upcoming project. The staff members will be made up of junior directors, who will be paid $640 per week, and senior directors,Medium · Algebra
  5. 5Valentina bought two containers of beads. In the first container 30% of the beads are red, and in the second container 70% of the beads are red. Together, the containers have at leEasy · Algebra
  6. 6The total cost, in dollars, to rent a surfboard consists of a $25 service fee and a $10 per hour rental fee. A person rents a surfboard for t hours and intends to spend a maximuEasy · Algebra
  7. 7In North America, the standard width of a parking space is at least 7.5 feet and no more than 9.0 feet. A restaurant owner recently resurfaced the restaurant's parking lot and wantMedium · Algebra
  8. 8A laundry service is buying detergent and fabric softener from its supplier. The supplier will deliver no more than 300 pounds in a shipment. Each container of detergent weighs 7.3Hard · Algebra
  9. 9Which of the following ordered pairs is a solution to the system of inequalities above?Medium · Algebra
  10. 10On a car trip, Rhett and Jessica each drove for part of the trip, and the total distance they drove was under 220 miles. Rhett drove at an average speed of 35 miles per hour mph, Easy · Algebra
  11. 11A local transit company sells a monthly pass for $95 that allows an unlimited number of trips of any length. Tickets for individual trips cost $1.50, $2.50, or $3.50, depending on Hard · Algebra
  12. 12A bakery sells trays of cookies. Each tray contains at least 50 cookies but no more than 60. Which of the following could be the total number of cookies on 4 trays of cookies?Easy · Algebra
  13. 13y≤x+7 y≥-2x-1 Which point x,y is a solution to the given system of inequalities in the xy-plane?Hard · Algebra
  14. 14A salesperson's total earnings consist of a base salary of x dollars per year, plus commission earnings of 11 % of the total sales the salesperson makes during the year. This yearHard · Algebra
  15. 15Ty set a goal to walk at least 24 kilometers every day to prepare for a multiday hike. On a certain day, Ty plans to walk at an average speed of 4 kilometers per hour. What is thEasy · Algebra
  16. 16A number x is at most 2 less than 3 times the value of y . If the value of y is -4 , what is the greatest possible value of x ?Hard · Algebra
  17. 17Tom scored 85, 78, and 98 on his first three exams in history class. Solving which inequality gives the score, G, on Tom's fourth exam that will result in a mean score on all four Easy · Algebra
  18. 18y<−4x+4 Which point (x , y ) is a solution to the given inequality in the x y -plane?Medium · Algebra
  19. 19A certain elephant weighs 200 pounds at birth and gains more than 2 but less than 3 pounds per day during its first year. Which of the following inequalities represents all possiblMedium · Algebra
  20. 20The Karvonen formula above shows the relationship between Alice's target heart rate H, in beats per minute (bpm), and the intensity level p of different activities. When , Alice haMedium · Algebra
  21. 21A small business owner budgets $2,200 to purchase candles. The owner must purchase a minimum of 200 candles to maintain the discounted pricing. If the owner pays $4.90 per candle Hard · Algebra
  22. 22A number x is at most 17 less than 5 times the value of y . If the value of y is 3 , what is the greatest possible value of x ?Medium · Algebra
  23. 23A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented wHard · Algebra
  24. 24The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. If a triangle has side lengths of 6 and 12 , Hard · Algebra
  25. 25The boundary of the inequality is a solid line. The line slants sharply down from left to right. The line passes through the following points: (1.0 comma 6.5) (3.0 comma negativeEasy · Algebra
  26. 26y>14 4x+y<18 The point x,53 is a solution to the system of inequalities in the xy-plane. Which of the following could be the value of x ?Medium · Algebra
  27. 27The formula above is Ohm's law for an electric circuit with current I, in amperes, potential difference V, in volts, and resistance R, in ohms. A circuit has a resistance of 500 ohHard · Algebra
  28. 28y<6x+2 For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?Hard · Algebra
  29. 29y>13x-18 For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?Hard · Algebra
  30. 30Normal body temperature for an adult is between and , inclusive. If Kevin, an adult male, has a body temperature that is considered to be normal, which of the following could be hiEasy · Algebra
  31. 31Which of the following ordered pairs satisfies the inequality ?Easy · Algebra
  32. 32A clothing store is having a sale on shirts and pants. During the sale, the cost of each shirt is $15 and the cost of each pair of pants is $25. Geoff can spend at most $120 at theEasy · Algebra
  33. 33A shipping service restricts the dimensions of the boxes it will ship for a certain type of service. The restriction states that for boxes shaped like rectangular prisms, the sum oHard · Algebra
  34. 34A business owner plans to purchase the same model of chair for each of the 81 employees. The total budget to spend on these chairs is $14,000 , which includes a 7 % sales tax. WhiHard · Algebra
  35. 35Ken is working this summer as part of a crew on a farm. He earned $8 per hour for the first 10 hours he worked this week. Because of his performance, his crew leader raised his salHard · Algebra
  36. 36Which of the following consists of the y-coordinates of all the points that satisfy the system of inequalities above?Hard · Algebra
  37. 37An elementary school teacher is ordering x workbooks and y sets of flash cards for a math class. The teacher must order at least 20 items, but the total cost of the order must not Easy · Algebra
  38. 38An event planner is planning a party. It costs the event planner a onetime fee of $35 to rent the venue and $10.25 per attendee. The event planner has a budget of $200 . What is Medium · Algebra
  39. 39A model estimates that whales from the genus Eschrichtius travel 72 to 77 miles in the ocean each day during their migration. Based on this model, which inequality represents theMedium · Algebra
  40. 40A moving truck can tow a trailer if the combined weight of the trailer and the boxes it contains is no more than 4,600 pounds. What is the maximum number of boxes this truck can tMedium · Algebra
  41. 41The average annual energy cost for a certain home is $4,334. The homeowner plans to spend $25,000 to install a geothermal heating system. The homeowner estimates that the average aMedium · Algebra
  42. 42The minimum value of x is 12 less than 6 times another number n . Which inequality shows the possible values of x ?Medium · Algebra
  43. 43Maria plans to rent a boat. The boat rental costs $60 per hour, and she will also have to pay for a water safety course that costs $10. Maria wants to spend no more than $280 for tEasy · Algebra
  44. 44The boundary of the inequality is a dashed line. The line slants sharply down from left to right. The line passes through the following points: (negative 1 comma 5) (0 comma 1) (Medium · Algebra
  45. 45Monarch butterflies can fly only with a body temperature of at least 55.0 degrees Fahrenheit °F. If a monarch butterfly's body temperature is 51.3 °F, what is the minimum increase Easy · Algebra
  46. 46A cleaning service that cleans both offices and homes can clean at most 14 places per day. Which inequality represents this situation, where f is the number of offices and h is Easy · Algebra
  47. 47Which of the following ordered pairs (x, y) satisfies the system of inequalities above?Medium · Algebra