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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. 1Line k is defined by y=-173x+5. Line j is perpendicular to line k in the xy-plane. What is the slope of line j ?Medium · Algebra
  2. 2The system of equations above has solution (x, y). What is the value of x ?Medium · Algebra
  3. 3Line p is defined by 2y+18x=9. Line r is perpendicular to line p in the xy-plane. What is the slope of line r ?Medium · Algebra
  4. 4A company that provides whale-watching tours takes groups of 21 people at a time. The company's revenue is 80 dollars per adult and 60 dollars per child. If the company's revenuMedium · Algebra
  5. 5At how many points do the graphs of the equations y = x + 20 and y = 8 x intersect in the xy-plane?Medium · Algebra
  6. 6y = 3 x 2 x + y = 12 The solution to the given system of equations is x,y. What is the value of 5 x ?Medium · Algebra
  7. 7A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents weMedium · Algebra
  8. 8Line t in the xy-plane has a slope of - 1 3 and passes through the point 9,10. Which equation defines line t ?Medium · Algebra
  9. 9y = 2 x + 10 y = 2 x - 1 At how many points do the graphs of the given equations intersect in the xy-plane?Medium · Algebra
  10. 10Which of the following graphs in the xy-plane could be used to solve the system of equations above?Medium · Algebra
  11. 11y=-19x y=12x The solution to the given system of equations is x,y. What is the value of x ?Medium · Algebra
  12. 12A bus traveled on the highway and on local roads to complete a trip of 160 miles. The trip took 4 hours. The bus traveled at an average speed of 55 miles per hour mph on the highwaMedium · Algebra
  13. 13On a 210-mile trip, Cameron drove at an average speed of 60 miles per hour for the first x hours. He then completed the trip, driving at an average speed of 50 miles per hour for tMedium · Algebra
  14. 14x + 3 = - 2 y + 5 x - 3 = 2 y + 7 The solution to the given system of equations is x,y. What is the value of 2 x ?Medium · Algebra
  15. 15If the system of equations above has solution , what is the value of ?Medium · Algebra
  16. 16In the xy-plane, the graph of intersects the graph of at the point . What is the value of a ?Medium · Algebra
  17. 17The line slants gradually down from left to right. The line passes through the following points: (negative 8 comma 0) (0 comma negative 8) What is an equation of the graph shownMedium · Algebra
  18. 18The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If a player answered 40 questions and obtained a scoMedium · Algebra
  19. 19The line slants down from left to right. The line passes through the following points: (0 comma 40) (60 comma 0) The graph shows the relationship between the number of shares of Medium · Algebra
  20. 20Which of the following could define the relationship between s and P ?Medium · Algebra
  21. 21x + 2 y = 6 x - 2 y = 4 The solution to the given system of equations is x,y. What is the value of x ?Medium · Algebra
  22. 22- 15 x + 25 y = 65 One of the two equations in a system of linear equations is given. The system has infinitely many solutions. Which of the following could be the Medium · Algebra
  23. 23In an article about exercise, it is estimated that a 160-pound adult uses 200 calories for every 30 minutes of hiking and 150 calories for every 30 minutes of bicycling. An adult wMedium · Algebra
  24. 24A wire with a length of 106 inches is cut into two parts. One part has a length of x inches, and the other part has a length of y inches. The value of x is 6 more than 4 timeMedium · Algebra
  25. 256 x + 7 y = 28 2 x + 2 y = 10 The solution to the given system of equations is x,y. What is the value of y?Medium · Algebra
  26. 26When line n is graphed in the xy-plane, it has an x-intercept of -4,0 and a y-intercept of 0,863. What is the slope of line n ?Medium · Algebra
  27. 27In the xy-plane, line k passes through the points 0,-5 and 1,-1. Which equation defines line k ?Medium · Algebra
  28. 28A 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 shMedium · Algebra
  29. 29Which of the following systems of linear equations has no solution?Medium · Algebra
  30. 30Which of the following systems of linear equations has no solution?Medium · Algebra
  31. 31Figure A and figure B are both regular polygons. The sum of the perimeter of figure A and the perimeter of figure B is 63 inches. The equation 3 x + 6 y = 63 Medium · Algebra
  32. 32In the solution to the system of equations above, what is the value of y ?Medium · Algebra
  33. 332.5b+5r=80 The given equation describes the relationship between the number of birds, b , and the number of reptiles, r , that can be cared for at a pet care business on a given dMedium · Algebra
  34. 34Which of the following systems of equations has the same solution as the system of equations graphed above?Medium · Algebra
  35. 35A proposal for a new library was included on an election ballot. A radio show stated that 3 times as many people voted in favor of the proposal as people who voted against it. A sMedium · Algebra
  36. 36x y -6 n + 184 -3 n + 92 0 n The table shows three values of x and their corresponding values of y , where n is a constant, for the linear relationship between x aMedium · Algebra
  37. 37A neighborhood consists of a 2 -hectare park and a 35 -hectare residential area. The total number of trees in the neighborhood is 3,934 . The equation 2 x + 35 y Medium · Algebra
  38. 38In the solution to the system of equations above, what is the value of x ?Medium · Algebra
  39. 39What is the slope of the graph of y=1427x+15+7x in the xy-plane?Medium · Algebra
  40. 40A line passes through the points 4,6 and 15,24 in the xy-plane. What is the slope of the line?Medium · Algebra
  41. 41x + 3 y = 29 3 y = 11 The solution to the given system of equations is x,y. What is the value of x ?Medium · Algebra