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Linear Equations in Two Variables

Math · Algebra · 78 questions · every one comes with a full explanation.

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  1. 1Hiro and Sofia purchased shirts and pants from a store. The price of each shirt purchased was the same and the price of each pair of pants purchased was the same. Hiro purchased 4 Easy · Algebra
  2. 2A store sells two different-sized containers of a certain Greek yogurt. The store's sales of this Greek yogurt totaled 1,277.94 dollars last month. The equation 5.48 x +Easy · Algebra
  3. 3Line k is defined by y = 3 x + 15 . Line j is perpendicular to line k in the xy-plane. What is the slope of line j ?Easy · Algebra
  4. 45 x = 15 - 4 x + y = -2 The solution to the given system of equations is x,y. What is the value of x + y ?Easy · Algebra
  5. 5For the first line in the system: The line is horizontal. The line passes through the following points: (negative 4 comma 3) (0 comma 3) (2 comma 3) For the second line in the sEasy · Algebra
  6. 6y = x + 4 Which table gives three values of x and their corresponding values of y for the given equation?Easy · Algebra
  7. 7A shipping company charged a customer $25 to ship some small boxes and some large boxes. The equation above represents the relationship between a, the number of small boxes, and b,Easy · Algebra
  8. 8What is the equation of the line that passes through the point 0,5 and is parallel to the graph of y = 7 x + 4 in the xy-plane?Easy · Algebra
  9. 9A petting zoo sells two types of tickets. The standard ticket, for admission only, costs $5. The premium ticket, which includes admission and food to give to the animals, costs $12Easy · Algebra
  10. 10The equation above relates the number of minutes, x, Maria spends running each day and the number of minutes, y, she spends biking each day. In the equation, what does the number 7Easy · Algebra
  11. 11A machine makes large boxes or small boxes, one at a time, for a total of 700 minutes each day. It takes the machine 10 minutes to make a large box or 5 minutes to make a small Easy · Algebra
  12. 12A total of 364 paper straws of equal length were used to construct two types of polygons: triangles and rectangles. The triangles and rectangles were constructed so that no two poEasy · Algebra
  13. 13The equation models the relationship between the number of different pieces of music a certain pianist practices, y, during an x-minute practice session. How many pieces did the piEasy · Algebra
  14. 14x + y = 18 5 y = x What is the solution x,y to the given system of equations?Easy · Algebra
  15. 15Which of the following is an equation of the graph shown in the xy-plane above?Easy · Algebra
  16. 16An employee at a restaurant prepares sandwiches and salads. It takes the employee 1.5 minutes to prepare a sandwich and 1.9 minutes to prepare a salad. The employee spends a totaEasy · Algebra
  17. 17x = 10 y = x + 21 The solution to the given system of equations is x,y. What is the value of y ?Easy · Algebra
  18. 18What is the solution to the given system of equations?Easy · Algebra
  19. 19Which of the following points is the solution to the system of equations?Easy · Algebra
  20. 20The y-intercept of the graph of 12 x + 2 y = 18 in the xy-plane is 0,y. What is the value of y ?Easy · Algebra
  21. 21The line slants sharply down from left to right. The line passes through the following points: (0 comma 18) (4 comma 10) (7 comma 4) (9 comma 0) The graph shows the possible combEasy · Algebra
  22. 22A city's total expense budget for one year was x million dollars. The city budgeted y million dollars for departmental expenses and 201 million dollars for all other expenses. WhicEasy · Algebra
  23. 234 x = 20 - 3 x + y = -7 The solution to the given system of equations is x,y. What is the value of x + y ?Easy · Algebra
  24. 24y = - 4 x + 40 Which table gives three values of x and their corresponding values of y for the given equation?Easy · Algebra
  25. 25Mario purchased 4 binders that cost x dollars each and 3 notebooks that cost y dollars each. If the given equation represents this situation, which of the following is the best intEasy · Algebra
  26. 26y = 4 x - 9 y = 19 What is the solution x,y to the given system of equations?Easy · Algebra
  27. 27A gardener buys two kinds of fertilizer. Fertilizer A contains 60% filler materials by weight and Fertilizer B contains 40% filler materials by weight. Together, the fertilizers boEasy · Algebra
  28. 28In the xy-plane, a line has a slope of 6 and passes through the point . Which of the following is an equation of this line?Easy · Algebra
  29. 29The equation 40 x + 20 y = 160 represents the number of sweaters, x , and number of shirts, y , that Yesenia purchased for $160. If Yesenia purchased 2 sweatEasy · Algebra
  30. 30x y 0 18 1 13 2 8 The table shows three values of x and their corresponding values of y . There is a linear relationship between x and y . Which of the following equationEasy · Algebra
  31. 31x = 5 y = x - 8 Which of the following points x,y is the solution to the given system of equations in the xy-plane?Easy · Algebra
  32. 323x=12 -3x+y=-6 The solution to the given system of equations is x,y. What is the value of y ?Easy · Algebra
  33. 33Connor has c dollars and Maria has m dollars. Connor has 4 times as many dollars as Maria, and together they have a total of $25.00 . Which system of equations represents this sEasy · Algebra
  34. 34Tony spends $80 per month on public transportation. A 10-ride pass costs $12.50, and a single-ride pass costs $1.50. If g represents the number of 10-ride passes Tony buys in a monEasy · Algebra
  35. 35A city is planning to build a rock retaining wall, a monument, and a garden in a park. The table above shows four rock types that will be considered for use in the project. Also shEasy · Algebra
  36. 36A dance teacher ordered outfits for students for a dance recital. Outfits for boys cost $26, and outfits for girls cost $35. The dance teacher ordered a total of 28 outfits and speEasy · Algebra
  37. 37A line in the xy-plane has a slope of 19 and passes through the point 0,14. Which equation represents this line?Easy · Algebra
  38. 38Vivian bought party hats and cupcakes for $71 . Each package of party hats cost $3 , and each cupcake cost $1 . If Vivian bought 10 packages of party hats, how many cupcakes did sEasy · Algebra
  39. 39The line slants sharply up from left to right. The line passes through the following points: (0 comma negative 5) (1 comma negative 3) (2 comma negative 1) The graph shows the liEasy · Algebra
  40. 40The table above shows some pairs of x values and y values. Which of the following equations could represent the relationship between x and y ?Easy · Algebra
  41. 41If is the solution to the given system of equations, what is the value of y ?Easy · Algebra
  42. 42y=-3x 4x+y=15 The solution to the given system of equations is x,y. What is the value of x ?Easy · Algebra
  43. 43Line k is defined by y=14x+1. Line j is parallel to line k in the xy-plane. What is the slope of j ?Easy · Algebra
  44. 44For a camping trip a group bought x one-liter bottles of water and y three-liter bottles of water, for a total of 240 liters of water. Which equation represents this situation?Easy · Algebra
  45. 45A teacher is creating an assignment worth 70 points. The assignment will consist of questions worth 1 point and questions worth 3 points. Which equation represents this situatioEasy · Algebra
  46. 46A shipment consists of 5 -pound boxes and 10 -pound boxes with a total weight of 220 pounds. There are 13 10 -pound boxes in the shipment. How many 5 -pound boxes are in the shipEasy · Algebra
  47. 47y = 70 x + 8 Which table gives three values of x and their corresponding values of y for the given equation?Easy · Algebra
  48. 48If is the solution to the given system of equations, what is the value of y ?Easy · Algebra
  49. 49In the equation above, F represents the total amount of money, in dollars, a food truck charges for x drinks and y salads. The price, in dollars, of each drink is the same, and theEasy · Algebra
  50. 50Jay walks at a speed of 3 miles per hour and runs at a speed of 5 miles per hour. He walks for w hours and runs for r hours for a combined total of 14 miles. Which equation reEasy · Algebra
  51. 51An online bookstore sells novels and magazines. Each novel sells for $4, and each magazine sells for $1. If Sadie purchased a total of 11 novels and magazines that have a combined Easy · Algebra
  52. 52A discount airline sells a certain number of tickets, x, for a flight for $90 each. It sells the number of remaining tickets, y, for $250 each. For a particular flight, the airlineEasy · Algebra
  53. 53The line slants gradually up from left to right. The line passes through the following points: (0 comma 8) (5 comma 9) (10 comma 10) What is the y-intercept of the line graphed?Easy · Algebra
  54. 54The equation 46 = 2 a + 2 b gives the relationship between the side lengths a and b of a certain parallelogram. If a = 9 , what is the value of b ?Easy · Algebra
  55. 55A movie theater charges $11 for each full-price ticket and $8.25 for each reduced-price ticket. For one movie showing, the theater sold a total of 214 full-price and reduced-price Easy · Algebra
  56. 56Last week, an interior designer earned a total of $1,258 from consulting for x hours and drawing up plans for y hours. The equation 68x+85y=1,258 represents this situation. WhichEasy · Algebra
  57. 57Which system of equations can be used to correctly determine the values of c and s ?Easy · Algebra
  58. 58The y-intercept of the graph of y = - 6 x - 32 in the xy-plane is 0,y. What is the value of y ?Easy · Algebra
  59. 59What is the equation of the line shown in the xy-plane above?Easy · Algebra
  60. 60Davio bought some potatoes and celery. The potatoes cost $0.69 per pound, and the celery cost $0.99 per pound. If Davio spent $5.34 in total and bought twice as many pounds of celeEasy · Algebra