This quiz works best with JavaScript enabled. Home > Class 9 > 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 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The linear equation 3x-11y=10 has A) Infinitely many solutions. B) 1 Solution. C) Two solutions. D) Unique solution. Show Answer Correct Answer: A) Infinitely many solutions. 2. 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) $y=700x-400$. 3. How many linear equations in x and y can be satisfied by x = 1 and y = 2? A) Only one. B) Two. C) Infinitely many. D) Three. Show Answer Correct Answer: C) Infinitely many. 4. 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: D) (2, 5). 5. 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. 6. What does "m" represent in y=mx+b? A) Y-intercept. B) Slope. C) Macaroni. D) X-intercept. Show Answer Correct Answer: B) Slope. 7. The point where the line crosses the y-axis is called the: A) Origin. B) X-intercept. C) Y-intercept. D) Slope. Show Answer Correct Answer: C) Y-intercept. 8. 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. 9. 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. 10. Equations of x axis is A) X=1. B) X=0. C) Y=0. D) Y=1. Show Answer Correct Answer: C) Y=0. 11. Convert the equation 5x = 8y + 5 to standard form A) -5 = 8y-5x. B) 5x = 8y + 5. C) 5x-8y = 5. D) 5x + 8Y = 5. Show Answer Correct Answer: C) 5x-8y = 5. 12. Any point on the line x = y is of the form: A) (k, -k). B) (0, k). C) (k, 0). D) (k, k). Show Answer Correct Answer: D) (k, k). 13. Solution of the equation 3x+2=8x-8 A) 2. B) 1. C) 3. D) 8. Show Answer Correct Answer: A) 2. 14. Graph of a linear equation in two variable is A) A parabola. B) A circle. C) A triangle. D) A straight line. Show Answer Correct Answer: D) A straight line. 15. Which of the following equation gives a straight line parallel to x-axis A) X=3. B) Y=3. C) X=0. D) X+y = 0. Show Answer Correct Answer: B) Y=3. 16. Solve for y $\frac{y}{3}-\frac{y}{7}=4$ A) 84. B) 21. C) 28. D) 16. Show Answer Correct Answer: B) 21. 17. Systems of equations that have the SAME SLOPE and DIFFERENT Y-INTERCEPTS will have ..... A) One solution. B) No solution. C) Infinite solutions. D) Two solutions. Show Answer Correct Answer: B) No solution. 18. 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. 19. 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 8, Rs 12. B) Rs 10, Rs 14. C) Rs 10, Rs 12. D) Cannot be determined. Show Answer Correct Answer: B) Rs 10, Rs 14. 20. The graph of the line y =-3 does not pass through the point A) (2, -3). B) (3, -3). C) (0, -3). D) (-3, 2). Show Answer Correct Answer: D) (-3, 2). 21. 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. 22. X=k is A) Equation of X-axis. B) Equation of Y-axis. C) Equation of line parallel to X-axis. D) Equation of line parallel to y-axis. Show Answer Correct Answer: D) Equation of line parallel to y-axis. 23. Variables in ax+by+c=0 are A) X. B) Y. C) X, y. D) A, b, c. Show Answer Correct Answer: C) X, y. 24. 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) $y=\frac{1}{10}x+100$. 25. Solve by elimination:4x+9y=28-4x-y=-28 A) (-7, 0). B) (6, 0). C) (-6, 0). D) (7, 0). 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