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 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 9 Maths Chapter 4 Linear Equations In Two Variables Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The equation 4-3x = 0 can be written in two variable as: A) 3x + 0Y + 4 = 0. B) 4-y-3x = 0. C) 4 + y-3x = 0. D) -3x + 0Y + 4 = 0. Show Answer Correct Answer: D) -3x + 0Y + 4 = 0. 2. The graph of linear equation 3x + 2y = 6 cuts the y-axis at the point A) (0, 2). B) (0, 3). C) (3, 0). D) (2, 0). Show Answer Correct Answer: B) (0, 3). 3. Which ordered pair is a solution for the equation 5x-9y = 32 A) (10, 2). B) (1, 3). C) (4, 5). D) (10, -2). Show Answer Correct Answer: D) (10, -2). 4. Which option correctly represents the equation 7x-3.2y = 9.2 in the standard form ax + by + c = 0 and indicates the values of a, b and c? A) 7x-3.2 y-9.2, a = 7, b =-3.2, c =-9.2. B) 7x-3.2 y + 9.2 = 0, a = 7, b =-3.2, c = 9.2. C) 7x-3.2 y + 9.2, a = 7, b =-3.2, c = 9.2. D) 7x-3.2 y-9.2 = 0, a = 7, b =-3.2, c =-9.2. Show Answer Correct Answer: D) 7x-3.2 y-9.2 = 0, a = 7, b =-3.2, c =-9.2. 5. A ball is kept on a Cartesian plane. Its initial position is (3, 4). Then it is moved 3 units towards the left, after which it is rotated 90$^\circ$ towards right. It is then moved 5 units towards south. What would be its final position? A) (0, 9). B) (-1, 0). C) (0, -1). D) (0, 0). Show Answer Correct Answer: C) (0, -1). 6. Identify the coefficient of y in the equation 4x + 2y = 8 A) 3. B) 6. C) 2. D) 5. Show Answer Correct Answer: C) 2. 7. The linear equation 2x-5y = 7 has A) A unique solution. B) Two solutions. C) Infinitely many solutions. D) No solution. Show Answer Correct Answer: C) Infinitely many solutions. 8. Find the value of s if (23, 2), is a solution of sx + 12y = 7 is A) 1.476. B) -0.739. C) 12.32. D) -1.453. Show Answer Correct Answer: B) -0.739. 9. Graph the line given by the equation 3x + 4y = 12 A) Y = (-3/4) x + 3. B) Y = (-3/4) x-3. C) Y = (3/4) x-3. D) Y = (3/4) x + 3. Show Answer Correct Answer: A) Y = (-3/4) x + 3. 10. How many lines can we draw through one point? A) Two. B) One. C) Infinite. D) Four. Show Answer Correct Answer: C) Infinite. 11. Equation of a line parallel to y-axis A) X=k. B) Y = x. C) Y = k. D) Y=1. Show Answer Correct Answer: A) X=k. 12. The equation y = 2 in two variables can be written as A) 0.x + 1.y = 2. B) 1. x + 0. y = 2. C) 1. x + 0.y = 0. D) None of the above. Show Answer Correct Answer: A) 0.x + 1.y = 2. 13. The equation x = 7 in two variables can be written as ..... A) 1.x + 0.y = 7. B) 0.x + 0.y = 7. C) 1.x + 1.y = 7. D) 0.x + 1. y = 7. Show Answer Correct Answer: A) 1.x + 0.y = 7. 14. The solution of equation x-2y = 4 is A) (1, 1). B) (0, 2). C) (4, 0). D) (2, 0). Show Answer Correct Answer: C) (4, 0). 15. A charity organization is having a fundraiser. $P\left(n\right)$ $n$ $P\left(n\right)=70n-1500$ A) $1500$. B) 1500 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $1500$. 16. If the point (3, 4) lies on the graph of the equation 3y = ax + 7, then the value of a is A) 3/5. B) 3/7. C) 4/6. D) 5/3. Show Answer Correct Answer: D) 5/3. 17. Coordinates of the point where graph of equations 3x-2y = 4 and x+y-3 = 0 intersect is ..... (hint ..... draw graphs of equation of graph and find solution) A) (3, 4). B) (1, 2). C) (4, -2). D) (2, 1). Show Answer Correct Answer: D) (2, 1). 18. Solve by elimination:3x+7y=23-3x-7y=-17 A) (-3, 3). B) No solution. C) (3, 3). D) ARN. Show Answer Correct Answer: B) No solution. 19. The point of the form (a, -a) always lies on the line ..... A) X = a. B) X + y = 0. C) Y = x. D) Y =-a. Show Answer Correct Answer: B) X + y = 0. 20. Determine the coefficient of y in the equation 5x-2y = 10 A) 2/5. B) 5/2. C) 10/2. D) -5/2. Show Answer Correct Answer: D) -5/2. 21. Draw the graph of the following linear equation in two variables:6x + y = 10.Were you able to draw it? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 22. The positive solution of the equation ax + by + c = 0 always lie in A) 3rd quadrant. B) 4th quadrant. C) 1st quadrant. D) 2nd quadrant. Show Answer Correct Answer: C) 1st quadrant. 23. What is the equation for a linear equation written in standard form? A) Ax + by = c. B) Y = x + c-b. C) Y = mx + b. D) A + x + b + y = c. Show Answer Correct Answer: A) Ax + by = c. 24. Point (4, 1) lies on the line A) X+2y= 6. B) X+2y= 5. C) X+2y=-6. D) X+2y= 16. Show Answer Correct Answer: A) X+2y= 6. 25. Which one of the following is variable A) $\frac{4}{5}$. B) 0.9. C) Y. D) 3. Show Answer Correct Answer: C) Y. 26. The linear equation 3x-11y=10 has A) Unique solution. B) Two solutions. C) 1 Solution. D) Infinitely many solutions. Show Answer Correct Answer: D) Infinitely many solutions. 27. Raven drove from the Dead Sea up to Amman, and her altitude increased at a constant rate. When she began driving, her altitude was 400 meters below sea level. When she arrived in Amman 2 hours later, her altitude was 1000 meters above sea level.Let $y$ $x$ $y=mx+b$ A) $y=700x-400$. B) Y=700x-400 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $y=700x-400$. 28. How many linear equations in x and y can be satisfied by x = 1 and y = 2? A) Infinitely many. B) Two. C) Three. D) Only one. Show Answer Correct Answer: A) Infinitely many. 29. Solve the system by multiplication.3x + 2y = 167x + y = 19 A) (-2, -5). B) (2, 5). C) (2, -5). D) (-2, 5). Show Answer Correct Answer: B) (2, 5). 30. Convert the equation y =-2x-9 into standard form A) 2x + y = 9. B) 2x + y =-9. C) Y-2x =-9. D) Y =-2x + 9. Show Answer Correct Answer: B) 2x + y =-9. 31. What does "m" represent in y=mx+b? A) Macaroni. B) X-intercept. C) Slope. D) Y-intercept. Show Answer Correct Answer: C) Slope. 32. The point where the line crosses the y-axis is called the: A) Origin. B) Slope. C) Y-intercept. D) X-intercept. Show Answer Correct Answer: C) Y-intercept. 33. Two equations in two variables taken together are called A) Linear equation. B) Quadratic equation. C) Simultaneous equation. D) None of these. Show Answer Correct Answer: C) Simultaneous equation. 34. 4 men and 4 boys can complete a piece of work in 3 days, while 2 men and 5 boys can complete the same work in 4 days. How long will it take 1 boy to complete the entire work? A) 18 days. B) 36 days. C) 54 days. D) None of these. Show Answer Correct Answer: B) 36 days. 35. Equations of x axis is A) X=1. B) Y=0. C) Y=1. D) X=0. Show Answer Correct Answer: B) Y=0. 36. Convert the equation 5x = 8y + 5 to standard form A) 5x = 8y + 5. B) 5x-8y = 5. C) -5 = 8y-5x. D) 5x + 8Y = 5. Show Answer Correct Answer: B) 5x-8y = 5. 37. Any point on the line x = y is of the form: A) (k, k). B) (k, 0). C) (0, k). D) (k, -k). Show Answer Correct Answer: A) (k, k). 38. Solution of the equation 3x+2=8x-8 A) 2. B) 1. C) 8. D) 3. Show Answer Correct Answer: A) 2. 39. Graph of a linear equation in two variable is A) A circle. B) A triangle. C) A straight line. D) A parabola. Show Answer Correct Answer: C) A straight line. 40. Which of the following equation gives a straight line parallel to x-axis A) X=0. B) X=3. C) X+y = 0. D) Y=3. Show Answer Correct Answer: D) Y=3. 41. Solve for y $\frac{y}{3}-\frac{y}{7}=4$ A) 84. B) 21. C) 16. D) 28. Show Answer Correct Answer: B) 21. 42. Systems of equations that have the SAME SLOPE and DIFFERENT Y-INTERCEPTS will have ..... A) One solution. B) Infinite solutions. C) No solution. D) Two solutions. Show Answer Correct Answer: C) No solution. 43. Select the definition that most nearly defines the given word:y-intercept. A) Have the same slope because their rise-over-run ratio is equal. B) The y-coordinate of the point where the graph of a line crosses the y-axis. C) Two lines having the same y-intercept and the same slope. D) In this method, the value of one variable from one equation is substituted in the other equation. Show Answer Correct Answer: B) The y-coordinate of the point where the graph of a line crosses the y-axis. 44. The cost of admission to a popular music concert was Rs. 162 for 12 children and 3 adults. The admission was Rs. 122for 8 children and 3 adults in another music concert. How much was the admission for each child and adult? A) Rs 10, Rs 12. B) Rs 8, Rs 12. C) Cannot be determined. D) Rs 10, Rs 14. Show Answer Correct Answer: D) Rs 10, Rs 14. 45. The graph of the line y =-3 does not pass through the point A) (2, -3). B) (-3, 2). C) (0, -3). D) (3, -3). Show Answer Correct Answer: B) (-3, 2). 46. Y = 2x + 5 and y = 2x-3 A) 1 solution. B) No solution. C) Infinitely many solutions. D) None of the above. Show Answer Correct Answer: B) No solution. 47. Variables in ax+by+c=0 are A) X, y. B) X. C) Y. D) A, b, c. Show Answer Correct Answer: A) X, y. 48. Sanders Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $ 100 in addition to a constant fee for each vertical meter climbed. For instance, the total fee for climbing to the Shira Volcanic Cone, which is $3000$ $y$ $x$ $y=mx+b$ A) $y=\frac{1}{10}x+100$. B) Y=101x+100 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $y=\frac{1}{10}x+100$. 49. Solve by elimination:4x+9y=28-4x-y=-28 A) (-7, 0). B) (-6, 0). C) (7, 0). D) (6, 0). Show Answer Correct Answer: C) (7, 0). 50. Y =-3x + 115x + y = 21 A) (-4, 5). B) (1, 5). C) (1, -5). D) (5, -4). Show Answer Correct Answer: D) (5, -4). 51. A line plotted on a coordinate graph that divides the graph (or plane) into two half-planes. Can be dashed or solid. A) Boundary Line. B) Slope. C) Linear Function. D) Y-Intercept. Show Answer Correct Answer: A) Boundary Line. 52. To draw graph of 4x+5y=19, find y when x=1 A) -3. B) 4. C) 2. D) 3. Show Answer Correct Answer: D) 3. 53. Solution of the equation 3x-5 = 2x + 1is A) 6. B) 4. C) 5. D) 7. Show Answer Correct Answer: A) 6. 54. Is (3, 2) a solution of x + y = 6? A) Yes. B) No. C) May be, cannot judge. D) None of the above. Show Answer Correct Answer: B) No. 55. Select the definition that most nearly defines the given word:x-intercept. A) The y-coordinate of the point where the graph of a line crosses the y-axis. B) When perpendicular lines have a negative reciprocal of each other. C) In this method, the value of one variable from one equation is substituted in the other equation. D) The x coordinate of the point where the graph of a line crosses the x-axis. Show Answer Correct Answer: D) The x coordinate of the point where the graph of a line crosses the x-axis. 56. Which of these points lie on Quadrant III? A) (6, -3). B) (-7, 4). C) (5, 10). D) (-2, -8). Show Answer Correct Answer: D) (-2, -8). 57. Convert the equation 5y = 21-x in standard form. A) 5y-x = 21. B) 5y + x = 21. C) X + 5y = 21. D) 21 =-x-5y. Show Answer Correct Answer: C) X + 5y = 21. 58. Equation of y-axis A) Y=0. B) Y=1. C) X=0. D) X=1. Show Answer Correct Answer: C) X=0. 59. The geometrical representation of a linear equation A) Parabola. B) Straight line. C) Curve. D) Either (b) or (c). Show Answer Correct Answer: B) Straight line. 60. In a parallelogram, one angle is 4/5th of the adjacent angle. Determine all the angles of the parallelogram. A) 80$^\circ$, 100$^\circ$, 80$^\circ$, 100$^\circ$. B) 60$^\circ$, 120$^\circ$, 60$^\circ$, 120$^\circ$. C) 70$^\circ$, 110$^\circ$, 70$^\circ$, 110$^\circ$. D) None of these. Show Answer Correct Answer: A) 80$^\circ$, 100$^\circ$, 80$^\circ$, 100$^\circ$. Next →Related QuizzesMathematics QuizzesClass 9 QuizzesClass 9 Maths Chapter 4 Linear Equations In Two Variables Quiz 2Class 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