This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 6 Linear Inequalities – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 6 Linear Inequalities Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which point is a solution to the inequality? 4x-3y $\geq$ 18 A) (0, -6). B) (2, 2). C) (0, 0). D) (-4, 6). Show Answer Correct Answer: A) (0, -6). 2. Consider the function y<2x+3. Which is true? A) The line would be solid with shading above. B) The line would be dotted with shading above. C) The line would be solid with shading below. D) None of these. Show Answer Correct Answer: D) None of these. 3. If x$^{2}$ =4 then value is A) -2. B) 2. C) -2, 2. D) None of these. Show Answer Correct Answer: C) -2, 2. 4. Will my line be solid 5 $\geq$ xMaths Online Bathinda 9464387372 A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 5. Determine whether the point (-3, 4) is a solution to the inequality:$y>-2x+7$ A) Yes, (-3, 4) is a solution. B) No, (-3, 4) is not a solution. C) All the above. D) None of the above. Show Answer Correct Answer: B) No, (-3, 4) is not a solution. 6. Determine if the point (0, 0) is a solution to the following system.x-y < 2x + y < 2x $\geq$-2 A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 7. A rectangle has a length that is seven inches longer than its width (w). If the perimeter of this rectangle is at most 30 inches, which of the following inequalities gives the possible values of "w" ? A) $w\ge4$. B) $w\ge8$. C) $w\le4$. D) $w\le8$. Show Answer Correct Answer: C) $w\le4$. 8. Solve 4y + 11 = 19 A) 1. B) 2. C) 3. D) 4. Show Answer Correct Answer: B) 2. 9. Which system of linear inequalities represents the information below:Josh is going to the store to buy candy. Bags of candy corn cost $ 3 and bags of chocolate cost $ 5. He needs to buy at least 20 bags of candy and he cannot spend more that $ 60.Let x = bags of candy cornLet y = bags of chocolate A) $5x+3y\le60$ $x+y\ge20$. B) $5y+3y\ge60$ $x+y\le20$. C) $3x+5y\le60$ $x+y\ge20$. D) $5x+3y\le20$ $x+y\ge60$. Show Answer Correct Answer: C) $3x+5y\le60$ $x+y\ge20$. 10. $y<\frac{1}{3}x-4$ A) Dotted Line. B) Solid Line. C) All the above. D) None of the above. Show Answer Correct Answer: A) Dotted Line. 11. Which point is a solution to $y>-x+6$ A) (-2, 8). B) (0, 6). C) (1, 7). D) (-1, 7). Show Answer Correct Answer: C) (1, 7). 12. Which three numbers are in the solution set of the inequality:$8>-3+\frac{a}{6}$ A) 67, 68, and 69. B) 66, 67, and 68. C) 64, 65, and 66. D) 63, 64, and 65. Show Answer Correct Answer: D) 63, 64, and 65. 13. The symbol < is called the ..... symbol. A) Not equal to. B) Less than. C) Greater than. D) Less than or equal to. Show Answer Correct Answer: B) Less than. 14. $y<\frac{1}{2}x-3$ A) Color up with a solid line. B) Color down with a solid line. C) Color down with a dotted line. D) Color up with a dotted line. Show Answer Correct Answer: C) Color down with a dotted line. 15. What type of line will the following inequality have? x $\geq$ 16 A) Solid. B) Dashed. C) All the above. D) None of the above. Show Answer Correct Answer: A) Solid. 16. Write the equation in slope-intercept form:-3y + 5x = 12 A) Y = 12 + 5x. B) Y =-4 + 5/3x. C) Y = 4-5/3x. D) Y =-4 + 5x. Show Answer Correct Answer: B) Y =-4 + 5/3x. 17. When graphing an inequality with the following symbol:< or >you should use a ..... A) Solid line. B) Dashed line. C) All the above. D) None of the above. Show Answer Correct Answer: B) Dashed line. 18. Which of the following ordered pairs is a solution to x + 2y > 6? A) (-1, 2). B) (0, 3). C) (-2, 5). D) (0, 0). Show Answer Correct Answer: C) (-2, 5). 19. Solve the following inequality:3x + 2 <-4 or 4x + 4 > 24 A) X <-2 or x > 5. B) X < 2 or x > 5. C) X <-2 and x > 5. D) X < 2 and x > 5. Show Answer Correct Answer: A) X <-2 or x > 5. 20. 0 >-100, choose true or false. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 21. A bathtub filled with 55 gallons of water is drained. The water drains at a rate of 5 gallons per minute. The function f(x) =-5x + 55 represents the volume of water in the tub as it drains. How many minutes have passed if the tub still has more than 20 gallons of water remaining in it? A) 5 minutes. B) 7 minutes. C) 15 minutes. D) 12 minutes. Show Answer Correct Answer: B) 7 minutes. 22. Solve the inequality $5x-7<3$ A) $x\le2$. B) $x<2$. C) $x<\frac{-4}{5}$. D) $x=2$. Show Answer Correct Answer: B) $x<2$. 23. Would you use a closed or open circle to graph x < 3? A) Closed. B) Open. C) All the above. D) None of the above. Show Answer Correct Answer: B) Open. 24. How can I tell if an inequality will have a dashed line? A) The symbol is greater than or less than. B) The symbol has "or equal to.". C) It has an equal sign. D) You just guess. Show Answer Correct Answer: A) The symbol is greater than or less than. 25. Consider the function $y<2x+3$ A) The line would be solid with shading above. B) The line would be dashed with shading above. C) The line would be solid with shading below. D) None of these. Show Answer Correct Answer: D) None of these. 26. What is the solution set to x if $3\le x<5$ A) 4. B) 4, 5. C) 3, 4, 5. D) 3, 4. Show Answer Correct Answer: D) 3, 4. 27. Which ordered pair is a solution of the inequality? y $\geq$ 4x-5 A) (2, 1). B) (3, 0). C) (3, 4). D) (1, 1). Show Answer Correct Answer: D) (1, 1). 28. On the number line, which region represents the solution of x > 3? A) Shade to the right of 3 (open). B) Shade to the left of 3 (closed ). C) Shade to the left of 3 (open ). D) Shade at point 3 only. Show Answer Correct Answer: A) Shade to the right of 3 (open). 29. What is the range of this function:{(1, 5), (2, 6), (3, 7)} A) {1, 2, 3}. B) {1}. C) {7}. D) {5, 6, 7}. Show Answer Correct Answer: D) {5, 6, 7}. 30. Does (7, 9) make the inequality 5x + 9y > 2 true? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 31. What type of line is used to graph the inequality Y > X? A) Dotted line. B) Dashed line. C) Solid line. D) None of the above. Show Answer Correct Answer: B) Dashed line. 32. Solve:|x + 4|-8 > 2 A) X > 6 and x < 10. B) X > 6 or x <-14. C) All real numbers. D) No solution. Show Answer Correct Answer: B) X > 6 or x <-14. 33. Which point would be a solution to the system of linear inequalities shown below? $y<4x-2$ $y\le-\frac{5}{4}x-3$ A) (-4, -10). B) (0, -6). C) (12, -8). D) (4, -4). Show Answer Correct Answer: B) (0, -6). 34. When the inequality y >-2x + 3 is graphed, which quadrant has NO shading? Use calculator. A) Quadrant III. B) Quadrant II. C) Quadrant I. D) Quadrant IV. Show Answer Correct Answer: A) Quadrant III. 35. Solve for y. $-x-2y\ge7$ A) $y\le-\frac{1}{2}x-\frac{7}{2}$. B) $y\ge-2x-\frac{2}{7}$. C) $y\ge-\frac{1}{2}x-\frac{7}{2}$. D) $y\le-2x-\frac{2}{7}$. Show Answer Correct Answer: A) $y\le-\frac{1}{2}x-\frac{7}{2}$. 36. If the inequality symbol is $<$ $>$ A) Solid. B) Dashed. C) All the above. D) None of the above. Show Answer Correct Answer: B) Dashed. 37. Which of the following is true of the given graph?y $\geq$-2x + 1 A) The graph is a dotted line, shaded above. B) The graph is a solid line, shaded above. C) The graph is a dotted line, shaded below. D) The graph is a solid line, shaded below. Show Answer Correct Answer: B) The graph is a solid line, shaded above. 38. When graphing an inequality with the following symbol:$\le or\ge$ A) Solid line. B) Dashed line. C) All the above. D) None of the above. Show Answer Correct Answer: A) Solid line. 39. The symbol $\geq$ means: A) Greater than or equal to. B) Less than. C) Equal to. D) Greater than. E) Less than or equal to. Show Answer Correct Answer: A) Greater than or equal to. 40. What's the difference between systems of equations and systems of inequalities? A) Systems of equations have 1 solution, no solution, or infinite solutions while systems of inequalities can have a range of solutions. B) Systems of equations use slope-intercept form only while systems of inequalities use standard form only. C) Systems of equations have a shaded region while systems of inequalities do not. D) There is no difference. Show Answer Correct Answer: A) Systems of equations have 1 solution, no solution, or infinite solutions while systems of inequalities can have a range of solutions. 41. Which system of linear inequalities represents the information below:Mandy is buying plants and soil for a flowerbed for her mom. The soil costs $ 5 per bag and the plants cost $ 12 each. She wants to buy at least 6 plants and can spend no more that $ 100.Let x = bags of soilLet y = number of plants A) $5x+12y\le100$ $y\ge6$. B) $5x+12y\ge100$ $y\le6$. C) $5x+12y\le100$ $x\ge6$. D) $5x+12y\ge100$ $x\le6$. Show Answer Correct Answer: A) $5x+12y\le100$ $y\ge6$. 42. Mia's garden has 15 more tulips than daisies. She has at least 70 tulips. Write an inequality to find the possible number of daisies, d, Mia could have. A) $d+15\ge70$. B) $15d\ge70$. C) $d+15\le70$. D) $d-15\ge70$. Show Answer Correct Answer: A) $d+15\ge70$. 43. Will the line be solid or dotted? y > 2x A) Dotted. B) Solid. C) All the above. D) None of the above. Show Answer Correct Answer: A) Dotted. 44. The inequality, x < 2, will make what type of line? A) Solid, vertical. B) Solid, horizontal. C) Dashed, horizontal. D) Dashed, vertical. Show Answer Correct Answer: A) Solid, vertical. 45. Solve the compound inequality:-3 < 2x + 1 < 7 A) -1 < x < 4. B) -3 < x < 7. C) -2 < x < 3. D) -4 < x < 2. Show Answer Correct Answer: C) -2 < x < 3. 46. You flip an inequality symbol when you ..... A) Subtract. B) Multiply and divide only. C) Multiple by a negative number. D) Multiple or divide by a negative number. Show Answer Correct Answer: D) Multiple or divide by a negative number. 47. Which ordered pair is a solution to the linear inequality below? $3x+4y\ge20$ A) (2, 7). B) (-4, -2). C) (0, 3). D) (-5, 1). Show Answer Correct Answer: A) (2, 7). 48. When graphing a linear inequality, < and > signs would require you to draw ..... A) A solid line. B) A dashed line. C) All the above. D) None of the above. Show Answer Correct Answer: B) A dashed line. 49. My brother is 2 years older than I am. He is 18 years old. Which equation represents how old I am? A) M-2 = 18. B) 2m = 18. C) M + 2 = 18. D) M/2 = 18. Show Answer Correct Answer: C) M + 2 = 18. 50. When you graph an inequality, with which symbols do you use a CLOSED DOT? A) $\le, \ge$. B) $<, >$. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\le, \ge$. 51. $y>\frac{1}{2}x-7$ A) Color down with a dotted line. B) Color up with a dotted line. C) Color down with a solid line. D) Color up with a solid line. Show Answer Correct Answer: B) Color up with a dotted line. 52. X + 8 < 3 or-8x <-40 A) X >-5 or x < 5. B) X <-5 and x > 5. C) X <-5 or x > 5. D) X >-5 and x < 5. Show Answer Correct Answer: C) X <-5 or x > 5. 53. If the inequality symbol is $\le$ $\ge$ A) Solid. B) Dotted. C) All the above. D) None of the above. Show Answer Correct Answer: A) Solid. 54. $y\ge\frac{x}{3}-2$ A) Color down with a dotted line. B) Color down with a solid line. C) Color up with a solid line. D) Color up with a dotted line. Show Answer Correct Answer: C) Color up with a solid line. 55. Two seventh-grade classes are selling raffle tickets to raise money.-One class is selling tickets for $ 3.50 each and has already raised $ 400.-The other class is selling tickets for $ 2.00 each and has already raised $ 300.Which equation can be used to find m, the number of tickets each class needs to sell so that the total amount raised is the same for both classes? A) 3.5 + 400m = 2 + 300m. B) 3.5m + 400 = 2m + 300. C) 3.50m = 2m + 300. D) 5.5m = 700. Show Answer Correct Answer: B) 3.5m + 400 = 2m + 300. 56. How can I tell if an inequality will have a dashed boundary line? A) You just guess. B) The symbol does not have "or equal to.". C) The symbol is less than than. D) It does not have an equal sign. Show Answer Correct Answer: B) The symbol does not have "or equal to.". 57. Which of the following is a solution to the inequality m < 25? A) 25. B) 27. C) 30. D) -91. Show Answer Correct Answer: D) -91. 58. Points on the shaded side linear A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 59. When graphing, if the inequality sign is ..... or ..... the line is solid. A) . B) . C) $<, >$. D) $\le, \ge$. Show Answer Correct Answer: D) $\le, \ge$. 60. Y $\geq$ 5 will have what type of line? A) Dashed. B) Solid. C) All the above. D) None of the above. Show Answer Correct Answer: B) Solid. Next →Related QuizzesScience QuizzesClass 11 QuizzesClass 11 Mathematics Chapter 6 Linear Inequalities Quiz 2Class 11 Mathematics Chapter 6 Linear Inequalities Quiz 3Class 11 Mathematics Chapter 6 Linear Inequalities Quiz 4Class 11 Mathematics Chapter 6 Linear Inequalities Quiz 5Class 11 Mathematics Chapter 1 Sets QuizClass 11 Mathematics Chapter 10 Straight Lines QuizClass 11 Mathematics Chapter 11 Conic Sections QuizClass 11 Mathematics Chapter 12 Introduction To Three Dimensional Geometry Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books