This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 6 Linear Inequalities – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 6 Linear Inequalities Quiz 3 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Solve $14-3x\le-7$ A) $x\ge-7$. B) $x\le7$. C) $x\le-7$. D) $x\ge7$. Show Answer Correct Answer: D) $x\ge7$. 2. Factor the expression:10v$^{2}$ + 11v-8 A) (5v + 8)(2v-1). B) (v + 8)(v-1). C) (5v + 8)(2v + 1). D) (10v-8)(v + 1). Show Answer Correct Answer: A) (5v + 8)(2v-1). 3. Which of the following is an inequation $\left(1\right)\\\\a\ne b$ $\left(2\right)\\\\a\le b$ $\left(3\right)\\\\a>b$ A) Only (1). B) (2) and (3). C) (1), (2) and (3). D) None of the above. Show Answer Correct Answer: C) (1), (2) and (3). 4. Does the sign need to flip when solving?-4y $\geq$ 28 A) YES. B) NO. C) All the above. D) None of the above. Show Answer Correct Answer: A) YES. 5. What does a dashed line indicate when graphing inequalities? A) The solution is only one point. B) The points on the line are not included in the solution. C) The solution includes all points. D) The points on the line are included in the solution. Show Answer Correct Answer: B) The points on the line are not included in the solution. 6. Two regions created on a graph when separated by a boundary line A) Quadrant. B) Sides. C) Half-Plane. D) Solution. Show Answer Correct Answer: C) Half-Plane. 7. Identify the symbol. < A) Less than. B) Greater than. C) Less than and equal to. D) Greater than and equal to. Show Answer Correct Answer: A) Less than. 8. What is the solution to the equation X + 5 = 8? A) X = 3. B) X = 8. C) X = 5. D) X = 13. Show Answer Correct Answer: A) X = 3. 9. Which of the following would be a possible solution to the system of inequalities given below? $3x-4y<-12$ $2x+y\ge4$ A) $\left(2, 6\right)$. B) $\left(-2, 6\right)$. C) $\left(2, -6\right)$. D) $\left(-2, -6\right)$. Show Answer Correct Answer: A) $\left(2, 6\right)$. 10. Solve. $-7\le2x-11<5$ A) $2\le x<8$. B) $2 C) $8 D) $2\le x\le8$. Show Answer Correct Answer: A) $2\le x<8$. 11. Does the sign need to flip when solving?8y < (-40) A) YES. B) NO. C) All the above. D) None of the above. Show Answer Correct Answer: B) NO. 12. Jasmine is helping her mom with a small vegetable patch. Tomato plants are selling for $ 4 and pepper plants are selling for $ 3. They don't want to spend more than $ 60.Which combination of tomato plants and pepper plants will they be able to purchase? A) 10 tomato plants and 9 pepper plants. B) 5 tomato plants and 15 pepper plants. C) 12 tomato plants and 6 pepper plants. D) 6 tomato plants and 11 pepper plants. Show Answer Correct Answer: D) 6 tomato plants and 11 pepper plants. 13. What value for B would allow you to solve this system using Elimination?4x + 2y = 125x + By = 4 A) 5. B) 0. C) -2. D) -4. Show Answer Correct Answer: C) -2. 14. What is the first step in solving an inequality word problem? A) Plan the solution. B) Check the answer. C) Understand the problem. D) Solve the inequality. Show Answer Correct Answer: C) Understand the problem. 15. Which of the following ordered pairs is not the solution for the inequality 3x-2y $\geq$ 15? A) (4, 5). B) (5, 0). C) (7, 3). D) (6, 1). Show Answer Correct Answer: A) (4, 5). 16. Y < 6x + 1 will have what kind of line? A) Dashed. B) Solid. C) All the above. D) None of the above. Show Answer Correct Answer: A) Dashed. 17. How can you tell if an inequality will have a dotted line? A) The symbol has "or equal to" . B) The symbol is greater than or less than. C) You just guess. D) It has an equal sign. Show Answer Correct Answer: B) The symbol is greater than or less than. 18. Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $ 134. After those ran out, Christian spent $ 120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation? A) 3x+3y=1344x+3y=120. B) 7xy=1346xy=120. C) X+y=134x+y=120. D) 4x+3y=1343x+3y=120. Show Answer Correct Answer: D) 4x+3y=1343x+3y=120. 19. The function f(x) = 13x + 52 represents the total number of points Leon will score this season. Determine how many games it will take for Leon to score at least 100 points. A) 11.7 games. B) 3.7 games. C) 3 games. D) 4 games. Show Answer Correct Answer: D) 4 games. 20. Shade above or below if you were to graph it? y $\geq$ A) Above. B) Below. C) All the above. D) None of the above. Show Answer Correct Answer: A) Above. 21. Graph the solution set of the inequality:3x-4 $\geq$ 8 A) X $\geq$ 4. B) X = 8. C) All the above. D) None of the above. Show Answer Correct Answer: A) X $\geq$ 4. 22. Solid line on a graph A) $\le\\ge$. B) $<\>$. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\le\\ge$. 23. Inequalities have how many answers? A) One. B) None. C) Many. D) None of the above. Show Answer Correct Answer: C) Many. 24. Which point is a solution of the inequality y>-3x+5? A) (1, -1). B) (-1, -3). C) (-3, 5). D) (-2, 12). Show Answer Correct Answer: D) (-2, 12). 25. The function f(x) = 800x +4000 represents Carlos's total sales as a function of the number of laptop computers he sells. How many computer must he sell to earn more than $ 12500? A) 10.6. B) 9. C) 10. D) 11. Show Answer Correct Answer: D) 11. 26. Which ordered pair is a solution to the linear inequality below? $2x-3y<9$ A) (6, -4). B) (2, -5). C) (-3, -3). D) (-1, -9). Show Answer Correct Answer: C) (-3, -3). 27. When for slack inequality ( $\ge$ A) Yes. B) No. C) Only intersection points will be included. D) None of the above. Show Answer Correct Answer: B) No. 28. Which point would be a solution to the system of linear inequalities shown below? $y\ge2x+2$ $y>\frac{1}{2}x-1$ A) (10, 7). B) (6, 3). C) (8, -8). D) (-6, -3). Show Answer Correct Answer: D) (-6, -3). 29. Shade above or below? y $\geq$ A) Above. B) Below. C) All the above. D) None of the above. Show Answer Correct Answer: A) Above. 30. The budget for a banquet is $ 1, 900. If it costs $ 3.75 to serve a single meal at this banquet, which inequality describes the possible numbers of meals (m) that can be served?Read each answer choice carefully! A) $m\le506$. B) $m\ge507$. C) $m\le507$. D) $m\ge506$. Show Answer Correct Answer: A) $m\le506$. 31. An inequality using a > or a < has a ..... line A) Invisible. B) Solid. C) Dashed. D) None of the above. Show Answer Correct Answer: C) Dashed. 32. Do I need to flip my sign?3x $\geq$ 12 A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 33. Which values of x satisfy the inequality? A) -1, 0, 1, 2. B) 1, 2, 3, 4. C) 0, 1, 2, 3. D) 2, 3, 4, 5. Show Answer Correct Answer: C) 0, 1, 2, 3. 34. Which point is NOT a solution to the given inequality? $y\le-3x+4$ A) (-5, -6). B) (0, 4). C) (-10, 10). D) (3, 1). Show Answer Correct Answer: D) (3, 1). 35. When I see $\le$ $\ge$ A) Solid. B) Dashed. C) All the above. D) None of the above. Show Answer Correct Answer: A) Solid. 36. Solid or dashed line? Y < A) Solid. B) Dashed. C) All the above. D) None of the above. Show Answer Correct Answer: B) Dashed. 37. Beng and Shim have less than $ 30 for candle-making supplies. The molds x cost $ 6 each and the wax y is $ 2 per pound. Which point represents a reasonable number of molds and pounds of wax they could buy? A) (3, 6). B) (4, 4). C) (3, 4). D) (5, 1). Show Answer Correct Answer: C) (3, 4). 38. Find the x-intercept of the following equation.3x + 8y = 24 A) (0, 8). B) (3, 0). C) (8, 0). D) (0, 3). Show Answer Correct Answer: C) (8, 0). 39. Solid or Dashed Line?y > 3x+7 A) Solid. B) Dashed. C) All the above. D) None of the above. Show Answer Correct Answer: B) Dashed. 40. What is the definition of y-intercept? A) The point where the graph of the line crosses the y-axis. B) The point where the graph of the line crosses the x-axis. C) The point where the graph of the line crosses the z-axis. D) The point where the graph of the line crosses the c-axis. Show Answer Correct Answer: A) The point where the graph of the line crosses the y-axis. 41. Factor the Trinomial:x$^{2}$-8x + 15 A) (x-5) (x-3). B) (x + 5) ( x + 3). C) (x-7) (x-8). D) (x + 15) (x-1). Show Answer Correct Answer: A) (x-5) (x-3). 42. Solve 3x + y if x =-4 and y = 2 A) 10. B) 9. C) -10. D) -9. Show Answer Correct Answer: C) -10. 43. Dotted line on a graph A) $\le\\ge$. B) $<\>$. C) All the above. D) None of the above. Show Answer Correct Answer: B) $<\>$. 44. Do we shade ABOVE or BELOW?y > 4x-10 A) Above. B) Below. C) All the above. D) None of the above. Show Answer Correct Answer: A) Above. 45. Wha is Noel's middle name? A) Yor. B) Roy. C) Oyr. D) Ryo. Show Answer Correct Answer: D) Ryo. 46. $x+3\ge7$ $x\ge?$ A) 4. B) 6. C) -3. D) 8. Show Answer Correct Answer: A) 4. 47. Sabrina has $ 25. The entrance fee at the festival is $ 4.50, and each game costs $ 2.75. Which inequality can be used to find the number of games, g, Sabrina can play? A) $2.75g+4.5\ge25$. B) $2.75g+4.5\le25$. C) $2.75+4.5g\ge25$. D) $2.75+4.5g\le25$. Show Answer Correct Answer: B) $2.75g+4.5\le25$. 48. Will my line be solid?5 $\geq$ x A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 49. When I see $<$ $>$ A) Solid. B) Dashed. C) All the above. D) None of the above. Show Answer Correct Answer: B) Dashed. 50. Which one represents '' x > 20 ''? A) X is less than twenty. B) X is greater than or equal to twenty. C) X is greater than twenty. D) X is less than or equal to twenty. Show Answer Correct Answer: C) X is greater than twenty. 51. Which ordered pair is a solution to the linear inequality below? $y\ge-2x+7$ A) (-4, 0). B) (2, -8). C) (-1, 5). D) (3, 2). Show Answer Correct Answer: D) (3, 2). 52. Determine if (3, -4) is a solution to $y\le2x-5$ A) (3, -4) is a solution. B) (3, -4 is not a solution. C) All the above. D) None of the above. Show Answer Correct Answer: A) (3, -4) is a solution. 53. For the inequality, $y\ge-\frac{1}{4}x-3$ A) Solid because it is "greater than". B) Dashed because y-intercept is negative. C) Dashed because the slope is negative. D) Solid because the inequality includes "equal to". Show Answer Correct Answer: D) Solid because the inequality includes "equal to". 54. Do you need to flip the inequality symbol?3y $\geq$-12 A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 55. What would the number line look like for the inequality 12-3y < 27? A) A closed circle with an arrow to the right. B) An opened circle with an arrow to the right. C) A closed circle with an arrow to the left. D) An opened circle with an arrow to the left. Show Answer Correct Answer: B) An opened circle with an arrow to the right. 56. In a number line, the numbers on the right side of zero are ..... A) Positive thinking. B) Positive mindset. C) Positive attitude. D) Positive integers. Show Answer Correct Answer: D) Positive integers. 57. Mrs. wants to buy apples that cost $ 0.75 each and oranges that cost $ 0.60 each. She will use $ 20 to make the purchase. Which of the following combinations of apples and oranges will satisfy this situation? (There is no sales tax involved.) A) 16 apples and 14 oranges. B) 12 apples and 17 oranges. C) 11 apples and 19 oranges. D) 14 apples and 16 oranges. Show Answer Correct Answer: C) 11 apples and 19 oranges. 58. Is the point (2, 6) included in the solution set of the linear inequality? y <-2x-5 A) Yes, it is included. B) No, it is excluded. C) All the above. D) None of the above. Show Answer Correct Answer: B) No, it is excluded. 59. When graphing do you use an open or closed circle for A) Open. B) Closed. C) All the above. D) None of the above. Show Answer Correct Answer: B) Closed. 60. Does the point (4, 10) satisfy the inequality y < x + 6? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. ← PreviousNext →Related QuizzesScience QuizzesClass 11 QuizzesClass 11 Mathematics Chapter 6 Linear Inequalities Quiz 1Class 11 Mathematics Chapter 6 Linear Inequalities Quiz 2Class 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