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 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 9 Maths Chapter 4 Linear Equations In Two Variables Quiz 2 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The equation 2x + 5y = 7 has a unique solution, if x, y are: A) Real numbers. B) Positive real numbers. C) Rational numbers. D) Natural numbers. Show Answer Correct Answer: D) Natural numbers. 2. Find the value of k, if x =-4, y =-5 is a solution of the equation:3x-4y = K A) K =-6. B) K = 8. C) K =-4. D) K = 6. Show Answer Correct Answer: B) K = 8. 3. Solution to a systems of equations A) The y-coordinate of the point where the graph of a line crosses the y-axis. B) Two lines having the same y-intercept and the same slope. C) A system of equations that has one or more solutions. D) The coordinates of the point where one or all of the equations true simultaneously. Show Answer Correct Answer: D) The coordinates of the point where one or all of the equations true simultaneously. 4. Select the definition that most nearly defines the given word:slope of parallel lines. A) When two lines intersect at right angles. B) Two lines having the same y-intercept and the same slope. C) Have the same slope because their rise-over-run ratio is equal. D) A system of equations that has one or more solutions. Show Answer Correct Answer: C) Have the same slope because their rise-over-run ratio is equal. 5. If we multiply or divide both sides of a linear equation with a non-zero number, then what will happen to the solution of the linear equation? A) Becomes 0. B) Is not equal to 0. C) 1. D) Remains same. Show Answer Correct Answer: D) Remains same. 6. The cost of a table is thrice the cost of a chair. Assuming the cost of a table as x and the cost of a chair as y, find out which of the following options correctly represents this situation? A) X + 3y = 0. B) X = 3y. C) Y = 3x. D) X + y = 3. Show Answer Correct Answer: B) X = 3y. 7. Ravi and Rohit together gave Rs 250 to CM relief fund A) X/y = 250. B) X+y = 250. C) Xy=250. D) X-y = 250. Show Answer Correct Answer: B) X+y = 250. 8. Does the system have one, none or infinite solutions?y = 2x-11y = 2x +5 A) One. B) None. C) Infinitely many solutions. D) None of the above. Show Answer Correct Answer: B) None. 9. Countries like United States and Belize use Fahrenheit for measuring temperature whereas India use Celsius.Here is a equation for converting Fahrenheit to Celsius.F = (9/5)C + 32.If the temperature is 95$^\circ$F then what is the temperature in Celsius? A) 37$^\circ$C. B) 35$^\circ$C. C) 12.5$^\circ$C. D) 34.5$^\circ$C. Show Answer Correct Answer: B) 35$^\circ$C. 10. Equation of the line that is parallel to x-axis and passing through the point (3, 4) ..... ? A) Y = 4. B) X = 4. C) Y = 3. D) X = 3. Show Answer Correct Answer: A) Y = 4. 11. Write the following as an equation in two variables:3y = 7 A) 0.x-3y-7= 0. B) 1.x-3y +7 = 0. C) 1.x + 3y +7 = 0. D) 0.x + 3y-7 = 0. Show Answer Correct Answer: D) 0.x + 3y-7 = 0. 12. Solve the system and determine the number of solutions it has. If it has one solution, name it. $y=7x+10$ $y=7x-5$ A) No Solution. B) One Solution (10, 5). C) One Solution (0, 0). D) Infinite Solutions. Show Answer Correct Answer: A) No Solution. 13. Which of the following is linear equation in two variable A) $ 5x^2+7x+1 = 0 $. B) $10x^2+5xy+20y^2=0$. C) $ 5x-7 = 8-9x $. D) $ Shif+z = $. Show Answer Correct Answer: D) $ Shif+z = $. 14. For the equation 5x-7y = 35, if y = 5, then the value of 'x' is: A) -12. B) 12. C) -14. D) 14. Show Answer Correct Answer: D) 14. 15. Which option correctly represents the equation 3x-4y = 6.8 in the standard form ax + by + c = 0 and indicates the values of a, b and c? A) 3x-4y + 6.8 = 0, a= 3, b = 4, c = 6.8. B) -3x-4y + 6.8 = 0, a=-3, b =-4, c = 6.8. C) 3x-4y-6.8 = 0, a= 3, b =-4, c =-6.8. D) 3x-4y-6.8 = 0, a= 3, b =-4, c = 6.8. Show Answer Correct Answer: C) 3x-4y-6.8 = 0, a= 3, b =-4, c =-6.8. 16. Determine the point of the equation 4x + 6y = 24 whose x-coordinate is 3/2 times its ordinate. A) X = 3, y = 7. B) X = 2, y = 1. C) X = 3, y = 2. D) X = 3, y = 5. Show Answer Correct Answer: C) X = 3, y = 2. 17. X = 9 and y = 4, is solution of which of the following equations? A) 2x + y = 17. B) The opposite-i.e. = 17. C) X + y = 17. D) X + 2y = 17. Show Answer Correct Answer: D) X + 2y = 17. 18. The graph of linear equation x+2y = 2, cuts the y-axis at A) (0, 1). B) (1, 1). C) (0, 2). D) (2, 0). Show Answer Correct Answer: A) (0, 1). 19. A line parallel to x axis and passing through A) (0, 4). B) (4, 3). C) (4, 0). D) (3, 4). Show Answer Correct Answer: A) (0, 4). 20. 6x + y = + 5-2x + y = 5 A) (-3, -6). B) (-6, 3). C) (-3, 5). D) (0, 5). Show Answer Correct Answer: D) (0, 5). 21. Plot the line with the equation 2x + 5y = 10 on a graph A) Y =-2/5x + 2. B) Y = 5/2x + 10. C) Y = 2/5x + 10. D) Y =-5/2x + 10. Show Answer Correct Answer: A) Y =-2/5x + 2. 22. Solve:$\frac{2y+1}{3y-5}=0$ A) 4. B) $\frac{-1}{2}$. C) $-2$. D) 6. Show Answer Correct Answer: B) $\frac{-1}{2}$. 23. Write the equation 2x-4 = 4x + 4 in two variables. A) 0x + 0Y + 4 = 0. B) 0x + 1y + 4 = 0. C) 1x + 0y-4 = 0. D) 1x + 0Y + 4 = 0. Show Answer Correct Answer: D) 1x + 0Y + 4 = 0. 24. The sum of a number and 8 is 25 . frame equation A) $x+8=25$. B) $ 8x = 25 $. C) $x-8=25$. D) $x=20$. Show Answer Correct Answer: A) $x+8=25$. 25. What is the slope of the equation?y =-3x + 4 A) -4. B) 3. C) -3. D) 4. Show Answer Correct Answer: C) -3. 26. In a two-digit number, the units digit is thrice the tens digit. If 18 is added to the number, the digits interchange their place. Find the number. A) 31. B) 26. C) 62. D) 13. Show Answer Correct Answer: D) 13. 27. If a linear equation has solutions (-2, 2), (0, 0) and (2, -2), then it is of the form A) -x + 2y = 0. B) Y-x = 0. C) -2x + y = 0. D) X + y = 0. Show Answer Correct Answer: D) X + y = 0. 28. Tell whether the ordered pair is a solution of:y =-3x + 9(3, 1) A) Yes!. B) No!. C) All the above. D) None of the above. Show Answer Correct Answer: B) No!. 29. Equation of the line parallel to x-axis and 6 units above the origin is A) X =-6. B) X = 6. C) Y =-6. D) Y = 6. Show Answer Correct Answer: D) Y = 6. 30. Which one is first step to solve this $2y-7=\frac{y+3}{3}$ A) $3\left(2y-7\right)=y+3$. B) $2y-7=y+3$. C) $ 6y-7 = y+$ 3. D) $ 6y+y = 3+$ 21. Show Answer Correct Answer: A) $3\left(2y-7\right)=y+3$. 31. Which of the following is not a solution of x+2y=4 A) (0, 2). B) (-2, 3). C) (2, 1). D) (2, 0). Show Answer Correct Answer: D) (2, 0). 32. The graph of line x = 3 passes through the point A) (0, 3). B) (2, 3). C) (3, 2). D) None of these. Show Answer Correct Answer: C) (3, 2). 33. Find x if $4x+3=2x-5$ A) 2. B) $-2$. C) 4. D) $-4$. Show Answer Correct Answer: D) $-4$. 34. Which of the following options is the standard form of the linear equation 7x-21 + 2y = 0? A) Swak + any-21 = 0. B) That is. C) Step-21 + i.e. = 0. D) 21 + any + whale = 0. Show Answer Correct Answer: A) Swak + any-21 = 0. 35. The graph of which of the following equations passes through the origin? A) (i) y = 2x + c. B) (ii) y = 2x-c. C) (iii) y = 2x. D) None of the above. Show Answer Correct Answer: C) (iii) y = 2x. 36. Every linear equations in two variables has A) One solution. B) No solution. C) An infinite number of solutions. D) Two solution. Show Answer Correct Answer: C) An infinite number of solutions. 37. 3x+10 = 0 will have: A) Unique solution. B) Infinitely many solutions. C) Two solutions. D) No solutions. Show Answer Correct Answer: A) Unique solution. 38. If x and y are both positive solutions of equation ax+by+c=0, always lie in A) Second quadrant. B) First quadrant. C) Third quadrant. D) Fourth quadrant. Show Answer Correct Answer: B) First quadrant. 39. The line represented by the equation x + y = 16 passes through (7, 9). How many more lines pass through this point A) No more lines can pass. B) One. C) Infinite. D) Five. Show Answer Correct Answer: C) Infinite. 40. Identify the linear equation whose line will pass through the origin. A) 4x + 2y = 12. B) X + kh = 0. C) X + y = 10. D) 10x-3y + 10 = 0. Show Answer Correct Answer: B) X + kh = 0. 41. Standard of a linear equation in two variables is A) Ax+by=0. B) Ax+by+c=0. C) Ax+c=0. D) All. Show Answer Correct Answer: B) Ax+by+c=0. 42. A line parallel to y-axis and passing through which of the following point A) (0, 4). B) (-4, -3). C) (3, 5). D) (-4, 0). Show Answer Correct Answer: D) (-4, 0). 43. Number of solutions of linear equation in two variable A) One. B) Many or infinite. C) Two. D) We can't say. Show Answer Correct Answer: B) Many or infinite. 44. X = 5, y = 2 is a solution of the linear equation A) X + 2 y = 7. B) 5x + 2y = 7. C) X + y = 7. D) 5 x + y = 7. Show Answer Correct Answer: C) X + y = 7. 45. X=2, y=1 is the solution of 2x+3y=k then k= A) -7. B) 8. C) 7. D) 14. Show Answer Correct Answer: C) 7. 46. There is a 3-digit number lying between 100 and 500. The middle digit is zero and the sum of the other digits is 12. On reversing the digits, the number so formed is exceeding the original number by 594. Find the original number. A) 309. B) 409. C) 903. D) 904. Show Answer Correct Answer: A) 309. 47. Standard form of 2x+6=5y is A) X+Kha+i = 0. B) X+thread = 0. C) +I = 0. D) None. Show Answer Correct Answer: C) +I = 0. 48. X + 6 = 0 is the equation of a line A) Parallel to x-axis and passing through (-6, 0). B) Parallel to y-axis and passing through (-6, 0). C) Parallel to y-axis and passing through (0, -6). D) None of these. Show Answer Correct Answer: B) Parallel to y-axis and passing through (-6, 0). 49. If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation ..... A) Changes in case of multiplication only. B) Changes in case of division only. C) Remains the same. D) Changes. Show Answer Correct Answer: C) Remains the same. 50. Which of the coordinate pairs is a solution to the equation 2x-y + 10 A) (2, 6). B) (1, 0). C) (4, 2). D) (5, 0). Show Answer Correct Answer: D) (5, 0). 51. Which statement is true about the system of linear equations? A) The system has one solution. B) They have the same y-intercept. C) The system has no solution. D) The slopes are different. Show Answer Correct Answer: C) The system has no solution. 52. Any point on the x-axis is of the form A) (x, y). B) (x, x). C) (0, y). D) (x, 0). Show Answer Correct Answer: D) (x, 0). 53. Find the points where the graph of equation 2x + 4y = 12, cuts the x-axis at A) (3, 1). B) (1, 3). C) (6, 0). D) (6, 1). Show Answer Correct Answer: C) (6, 0). 54. Give the geometric representations of (4/5)y-9 = (9/5)y-3 as an equation(i) in one variable(ii) in two variablesWere you able to complete this question? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 55. Solve by elimination:4x+4y=43x+4y=10 A) (7, -6). B) (7, 6). C) (6, 7). D) (-6, 7). Show Answer Correct Answer: D) (-6, 7). 56. The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs.160. A linear equation in two variables to represent the above data is if the amount of apples is represented by "x": A) 2x + y = 160. B) X + 2y = 160. C) None of these. D) X+ y = 160. Show Answer Correct Answer: A) 2x + y = 160. 57. What is ..... the set of two or more linear inequalities involving the same variables x and y. A) System of Linear Inequalities. B) System of Equations. C) Linear Function. D) Boundary Line. Show Answer Correct Answer: A) System of Linear Inequalities. 58. Using the given system of linear equations, determine the number of possible solutions by observation. A) One Solution. B) No Solution. C) Infinite Solutions. D) None of the above. Show Answer Correct Answer: C) Infinite Solutions. 59. 6x + y =-13x + y =-4 A) (3, 1). B) (1, -7). C) (-3, 1). D) (1, 7). Show Answer Correct Answer: B) (1, -7). 60. Which of the following graph is passing through the origin A) Y=2x. B) Y=3x. C) Y = x. D) All of the above. Show Answer Correct Answer: C) Y = x. ← 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 3Class 9 Maths Chapter 4 Linear Equations In Two Variables Quiz 4 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books