This quiz works best with JavaScript enabled. Home > Cbse > Class 9 > Mathematics > Linear Equations In Two Variables > Class 9 Maths Chapter 4 Linear Equations In Two Variables – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 9 Maths Chapter 4 Linear Equations In Two Variables Quiz 3 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. (3, 2) is a solution of 5x-7y =k. find value of k A) 2. B) 1. C) 3. D) 4. Show Answer Correct Answer: B) 1. 2. Plot the line represented by the equation 4x-2y = 8 on a graph A) Y = 2x-4. B) Y = 5x-12. C) Y = 4x-10. D) Y = 3x-6. Show Answer Correct Answer: A) Y = 2x-4. 3. If (3, 2) is the solution of 5x-7y=k then k= A) 2. B) -1. C) 1. D) 10. Show Answer Correct Answer: C) 1. 4. If x=1 and y=2 is a solution of x+2y=k then then k= A) 4. B) 5. C) 6. D) None. Show Answer Correct Answer: B) 5. 5. If (2k+1, k) is the solution of 5x+3y-7=0tgen k= A) 2/13. B) 1/11. C) 13/2. D) 26. Show Answer Correct Answer: A) 2/13. 6. Elimination method A) When two linear equations have the same slope (and different y-intercepts). B) The x coordinate of the point where the graph of a line crosses the x-axis. C) Where you eliminate one of the variables by adding the two equations. D) Two or more algebraic equations with the same unknown variables and the same value of the variables satisfy all such equations. Show Answer Correct Answer: C) Where you eliminate one of the variables by adding the two equations. 7. If age of Hema is 4 times the age of Mary.for this choose correct linear equation A) 2x=4y. B) X=4y. C) 4x=1/4y. D) X+4y=0. Show Answer Correct Answer: B) X=4y. 8. (0, a) is the solution for 3x=7y-21 then a= A) 3. B) 21. C) 7. D) 9. Show Answer Correct Answer: A) 3. 9. The graph of linear equation x + y = 2, cuts the y-axis at: A) (2, 0). B) (0, 1). C) (1, 1). D) (0, 2). Show Answer Correct Answer: D) (0, 2). 10. The general form of linear equation in two variable is A) Ax+by+c=1. B) Ax+bx+c=0. C) Ax+bx+c=1. D) Ax+by+c=0. Show Answer Correct Answer: D) Ax+by+c=0. 11. Convert the equation 3y = 6-4x A) 3y-4x = 6. B) 6 =-4x-3y. C) 3y = 6-4x. D) 4x + 3y = 6. Show Answer Correct Answer: D) 4x + 3y = 6. 12. If ( 2k-1, k ) is the solution of the equation 10x-9y = 12, then k = A) 3. B) 1. C) 2. D) 4. Show Answer Correct Answer: C) 2. 13. On adding twice the age of son to the age of the father, we get 59. But on adding twice the age of the father to the age of the son, we get 82. Find the ages of father and son. A) 36, 10. B) 10, 36. C) 12, 40. D) 35, 12. Show Answer Correct Answer: D) 35, 12. 14. Which of the following is linear equation? A) $6x-x^2-9=0$. B) $2x+5+x$. C) $x^2-4x+9=0$. D) $\frac{x}{3}+5=1$. Show Answer Correct Answer: D) $\frac{x}{3}+5=1$. 15. Which of the following is a solution of x+y=8 A) X = 2, y = 6. B) X = 5, y = 3. C) X = 1, y = 7. D) All. Show Answer Correct Answer: D) All. 16. In the equation, y = mx + b, the letter b is the ..... A) Rate of change. B) Y-intercept. C) Slope. D) X-intercept. Show Answer Correct Answer: B) Y-intercept. 17. The graph of 6x-3y=12 intersecting the y-axis at A) (0, 4). B) (2, -4). C) (2, 4). D) (0, -4). Show Answer Correct Answer: D) (0, -4). 18. Infinite solutions A) When two lines intersect at right angles. B) When two or more equations are working together and contain only two variables. C) In this method, the value of one variable from one equation is substituted in the other equation. D) Two lines having the same y-intercept and the same slope. Show Answer Correct Answer: D) Two lines having the same y-intercept and the same slope. 19. The graph of y = 6 is a line A) Parallel to x-axis at a distance 6 units from the origin. B) Parallel to y-axis at a distance 6 units from the origin. C) Making an intercept 6 on the x-axis. D) Making an intercept 6 on both the axes. Show Answer Correct Answer: A) Parallel to x-axis at a distance 6 units from the origin. 20. The total cost, $y$ $x$ $y$ $x$ A) $ y = 20x+$ 35. B) $ y = 35x+$ 20. C) $ y = 37.5x $. D) $ y = 40x $. Show Answer Correct Answer: B) $ y = 35x+$ 20. 21. Solve the following system by identifying the solution.{ y =-2x +8{ y = x-1 A) (-3, -4). B) (3, 2). C) (-2, -3). D) (2, 3). Show Answer Correct Answer: B) (3, 2). 22. Select the definition that most nearly defines the given word:slope of perpendicular lines. A) Where you eliminate one of the variables by adding the two equations. B) When perpendicular lines have a negative reciprocal of each other. C) A list of numbers x, y, z, that make all of the equations true simultaneously. D) The x coordinate of the point where the graph of a line crosses the x-axis. Show Answer Correct Answer: B) When perpendicular lines have a negative reciprocal of each other. 23. "The cost of a pencil is Rs.2 and one ball point pen cost is Rs. 15.Sheela pays Rs.100 for the pencils and pens she purchased ". Express this statement in linear equation in two variables. A) X-y = 100. B) 2x+15y=100. C) 2+15=100. D) X+y = 100. Show Answer Correct Answer: B) 2x+15y=100. 24. 3x + y = 1y = 4x + 1 A) (0, 1). B) No Solution. C) (0, -1). D) (0, 8). Show Answer Correct Answer: A) (0, 1). 25. Rupas father age is 25 years when she was born A) X-y=25. B) X+y = 25. C) X/y = 25. D) Xy=25. Show Answer Correct Answer: A) X-y=25. 26. Rohan bought 20 chalk boxes and Dusters for his school. The cost of one Chalk box is ₹ 150 and the cost of one Duster is ₹ 60. Rohan paid a total of ₹ 2000 to the shopkeeper. Assuming that the number of chalk boxes is represented as x and the number of dusters is represented by y, which of the following equations correctly represents this situation? A) 150x-60y = 2000. B) 150x + 60y = 20. C) 150x + 60y = 2000. D) 150x-60y = 20. Show Answer Correct Answer: C) 150x + 60y = 2000. 27. Which ordered pair is a solution for the equation 4x-3y = 1 A) (0, 3). B) (7, 9). C) (4, -5). D) (1, -1). Show Answer Correct Answer: B) (7, 9). 28. X = 4, y=3 is a solution of the linear equation A) X + 3y = 17. B) 2x + y = 17. C) X+any = 17. D) X + Ay = 17. Show Answer Correct Answer: D) X + Ay = 17. 29. Which ordered pair is a solution for the equation 3x-5y = 15 A) (5, -5). B) (10, 5). C) (10, -3). D) (10, 3). Show Answer Correct Answer: D) (10, 3). 30. Find the coefficient of x in the equation 2x + 3y = 6 A) 4. B) 3. C) 5. D) 2. Show Answer Correct Answer: D) 2. 31. If (b, 0) is the solution of 5x-2y+3=0 then b= A) -3/5. B) 1/5. C) 3/5. D) -15. Show Answer Correct Answer: A) -3/5. 32. Select the definition that most nearly defines the given word:system of linear equations. A) Two or more algebraic equations with the same unknown variables and the same value of the variables satisfy all such equations. B) When two linear equations have the same slope (and different y-intercepts). C) A set of equations or statements that do not have a solution. D) When two or more equations are working together and contain only two variables. Show Answer Correct Answer: D) When two or more equations are working together and contain only two variables. 33. The positive solutions of the equation ax + by + c = 0 always lie in the: A) 4th quadrant. B) 2nd quadrant. C) 1st quadrant. D) 3rd quadrant. Show Answer Correct Answer: C) 1st quadrant. 34. Convert the equation y + 2 =-5x to standard form A) -5x + y = 2. B) 5x + y = 2. C) Y-5x = 2. D) 2 =-5x-Y. Show Answer Correct Answer: B) 5x + y = 2. 35. If 2x + 4 = x-5, then x = ..... A) -9. B) -1. C) 9. D) 1. Show Answer Correct Answer: A) -9. 36. Which of the coordinate pairs is a solution for the equation x + y = 3 A) (6, -4). B) (4, 1). C) 0, -3). D) (5, -2). Show Answer Correct Answer: D) (5, -2). 37. Graph the line represented by the equation 5x-3y = 15 A) Y = (5/3) x-5. B) Y = (5/3) x-3. C) Y = (3/5) x + 15. D) Y = (5/3) x + 15. Show Answer Correct Answer: A) Y = (5/3) x-5. 38. The point of the form (a, a), where a $\ne$ A) Y-axis. B) The line y = x. C) X-axis. D) The line x + y = 0. Show Answer Correct Answer: B) The line y = x. 39. Express x in terms of y for the equation:x/6 + 3y = 7 A) X = 6(7-3y). B) X = 7(3y-6). C) X = 7(6-3y). D) X = 6(3y + 7). Show Answer Correct Answer: A) X = 6(7-3y). 40. Simultaneous equations A) When perpendicular lines have a negative reciprocal of each other. B) A set of equations or statements that do not have a solution. C) Two or more algebraic equations with the same unknown variables and the same value of the variables satisfy all such equations. D) Where you eliminate one of the variables by adding the two equations. Show Answer Correct Answer: C) Two or more algebraic equations with the same unknown variables and the same value of the variables satisfy all such equations. 41. The distance between the graphs of the equations y =-1 and y = 3 is: A) 4. B) 2. C) 1. D) 3. Show Answer Correct Answer: A) 4. 42. The point of the form (a, a) always lies on: A) On the line y = x. B) Y-axis. C) X-axis. D) On the line x + y = 0. Show Answer Correct Answer: A) On the line y = x. 43. Coordinates of the vertices of the triangle formed by the two straight lines and the y-axis are A) (4, 0), (0, -1), (2, 3). B) (0, 4), (0, -1), (3, 2). C) (0, 0), (-1, 0), (3, 2). D) (0, 2), (4, -1), (2, 3). Show Answer Correct Answer: B) (0, 4), (0, -1), (3, 2). 44. (2k+1, k) is a solution of 5x+3y-7=0. find the value of k A) $\frac{3}{2}$. B) 3. C) $\frac{2}{13}$. D) $2$. Show Answer Correct Answer: C) $\frac{2}{13}$. 45. The graph of x = 3 is a line: A) Parallel to the x-axis at a distance of 3 units from the origin. B) Parallel to the y-axis at a distance of 3 units from the origin. C) Makes an intercept 3 on the x-axis. D) Makes an intercept 3 on the y-axis. Show Answer Correct Answer: B) Parallel to the y-axis at a distance of 3 units from the origin. 46. A linear equation in two variables A) Has a unique solution. B) Has two solutions. C) Has infinitely many solutions. D) Two or four solutions. Show Answer Correct Answer: C) Has infinitely many solutions. 47. Consistent system A) A system of equations that has one or more solutions. B) A list of numbers x, y, z that make all of the equations true simultaneously. C) When two lines intersect at right angles. D) Have the same slope because their rise-over-run ratio is equal. Show Answer Correct Answer: A) A system of equations that has one or more solutions. 48. The difference of two numbers is 75 and the ratio of greater number by the smaller number is 6. Find the two numbers and select the correct option. A) 65 and 10. B) 85 and 15. C) 70 and 5. D) 90 and 15. Show Answer Correct Answer: D) 90 and 15. 49. The graph of the linear equation 2x + 3y = 6 is a line which meets the x-axis at the point A) (2, 0). B) (3, 0). C) (0, 2). D) (0, 3). Show Answer Correct Answer: B) (3, 0). 50. The graph of the linear equation 5x + 3y = 10 is a line which meets the x-axis at the point A) (2, 0). B) (0, 3). C) (0, 2). D) (3, 0). Show Answer Correct Answer: A) (2, 0). 51. Is x =-3 vertical or horizontal? A) Vertical. B) Horizontal. C) Neither. D) None of the above. Show Answer Correct Answer: A) Vertical. 52. Ina given equation 3x+4y-10=0 A) A=3, b=4 and c=10. B) A=3, b=-4 and c=10. C) A=-3, b=4 and c=10. D) A=3, b=4 and c=-10. Show Answer Correct Answer: D) A=3, b=4 and c=-10. 53. Check which value of x satisfy LHS and RHS:2x-1 = 14-x A) X = $-5$. B) X = 7. C) X = $-1$. D) X = 5. Show Answer Correct Answer: D) X = 5. 54. How many solutions does the following system have? A) None. B) One. C) Infinitely many. D) None of the above. Show Answer Correct Answer: C) Infinitely many. 55. The graph of the linear equation in two variables y = mx is ..... A) A line parallel to x-axis. B) A line parallel to y-axis. C) A line passes through the origin. D) Not a straight line. Show Answer Correct Answer: C) A line passes through the origin. 56. Solve by elimination:7x+y=-9-3x-y=5 A) (-2, -3). B) (1, 8). C) (-1, -2). D) No solution. Show Answer Correct Answer: C) (-1, -2). 57. The equation of x-axis is of the form A) X = y. B) Y = 0. C) X = 0. D) X + y = 0. Show Answer Correct Answer: B) Y = 0. 58. Does the following system have one solution, no solutions, or infinite solutions?y= 3/4x-3y = 3/4x +5 A) One solution. B) No solutions. C) Infinite solutions. D) None of the above. Show Answer Correct Answer: B) No solutions. 59. Devin is power washing houses for a summer job. For every job, he charges an initial fee plus $ 20 for each hour of work. His total fee for a 5-hour job, for instance, is $ 180.Devin's total fee, $y$ $x$ $y=mx+b$ A) $ y = 20x+$ 80. B) Y=20x+80 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $ y = 20x+$ 80. 60. What is the intersection of the x-axis and y-axis in the coordinate plane? A) Ordinates. B) Abscissa. C) Origin. D) Coordinates axes. Show Answer Correct Answer: C) Origin. ← PreviousNext →Related QuizzesMathematics QuizzesClass 9 QuizzesClass 9 Maths Chapter 4 Linear Equations In Two Variables Quiz 1Class 9 Maths Chapter 4 Linear Equations In Two Variables Quiz 2Class 9 Maths Chapter 4 Linear Equations In Two Variables Quiz 4 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books