This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 6 Linear Inequalities – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 6 Linear Inequalities Quiz 4 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What are two solutions to x < 8? A) 12, 7.1. B) 8.6, 7.9. C) 11, 16. D) 0.8, 5.9. Show Answer Correct Answer: D) 0.8, 5.9. 2. Car rentals cost $ 30/day plus $ 0.50/mile. If you have $ 100, what's the max number of miles you can drive in one day? A) 140 miles. B) 120 miles. C) 150 miles. D) 130 miles. Show Answer Correct Answer: A) 140 miles. 3. Which of the following sets of ordered pairs define a function?A. C. B. D. A) {(0, 2), (1, 3), (4, 3), (1, 2)}. B) {(1, 1), (1, 2), (1, 3), (1, 4)}. C) {(0, 1), (1, 2), (0, 3), (1, 4)}. D) {(1, 3), (4, 2), (2, 0), (3, 4)}. Show Answer Correct Answer: D) {(1, 3), (4, 2), (2, 0), (3, 4)}. 4. Which inequality symbol has a graph with a closed (shaded) circle? A) $<$. B) $\le$. C) All the above. D) None of the above. Show Answer Correct Answer: B) $\le$. 5. What does this symbol ">" mean? A) Greater than. B) Turn right. C) Less than. D) Nose. Show Answer Correct Answer: A) Greater than. 6. -8<2(x+4) or-3x+4>x-4 A) No solutions. B) X<-8 or x<2. C) X>-8 or x<2. D) X<-8 and x<2. Show Answer Correct Answer: B) X<-8 or x<2. 7. When graphing a linear inequality, $\le$ $\ge$ A) A solid line. B) A dashed line. C) All the above. D) None of the above. Show Answer Correct Answer: A) A solid line. 8. What are the values of x that make the inequality a true statement? A) 3, 4, 5, 6. B) 0, 1, 2, 3. C) 2, 3, 4, 5. D) 1, 2, 3, 4. Show Answer Correct Answer: B) 0, 1, 2, 3. 9. Points on a dashed/dotted line ARE part of the solution set. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 10. $1\le\left|x-1\right|\le3$ A) $\left[-2, 0\right]$. B) [2, 4]. C) $\left[-2, 0\right]\cup\left[2, 4\right]$. D) None of these. Show Answer Correct Answer: C) $\left[-2, 0\right]\cup\left[2, 4\right]$. 11. Which ordered pair IS a solution to y <-2x-5 A) (2, -1). B) (2, 6). C) (-2, 1). D) (-4, 2). Show Answer Correct Answer: D) (-4, 2). 12. What is a special type of relation in which every element in the domain is mapped to exactly one element in the range? A) Domain. B) Ordered Pairs. C) Function. D) Range. Show Answer Correct Answer: C) Function. 13. 1) Thomas had a $ 20 bill when he went to the movies. He bought a ticket for $ 8.50 and wants to get popcorn for $ 3.75 and a drink for $ 2.50. How much money did he have left? A) 17.50. B) 5.25. C) 9.00. D) 2.25. Show Answer Correct Answer: B) 5.25. 14. Determine whether the point (8, 8) is a solution to the inequality:$y\ge\frac{1}{2}x+4$ A) Yes, (8, 8) is a solution. B) No, (8, 8) is not a solution. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes, (8, 8) is a solution. 15. The total amount Cora paid for two kilos of beef and three kilos of fish is less than Php 700. Suppose a kilo of beef costs Php 250. What could be the maximum cost of a kilo of fish to the nearest pesos? A) Php 65. B) Php 67. C) Php 60. D) Php 66. Show Answer Correct Answer: D) Php 66. 16. It indicates that the points are part of the solutions of the inequality. A) Broken line. B) Solid Line. C) Dashed Line. D) Dotted Line. Show Answer Correct Answer: B) Solid Line. 17. Parallel lines have how many solutions? A) None. B) One. C) Infinitely many. D) None of the above. Show Answer Correct Answer: A) None. 18. Solve 2 (x-3) $\geq$ x/2-5 A) $x\ge\frac{2}{3}$. B) X$\geq$32 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $x\ge\frac{2}{3}$. 19. A bus can hold 44 people. If there are 35 students in Samantha's class, how many more people can ride on the bus? A) Carter smells. B) Kenzie is a dood. C) No more than 10. D) No more than 9. Show Answer Correct Answer: D) No more than 9. 20. Describe the graph of $x\ge3$ A) Dotted, shading to the right. B) Solid, shading to the left. C) Solid, shading to the right. D) Dotted, shading to the left. Show Answer Correct Answer: C) Solid, shading to the right. 21. Which statement is true about solutions to a linear inequality? A) If the point is in the shaded area, it is a solution to the inequality. B) If the point is not in the shaded area, it is a solution to the inequality. C) If the point is in the shaded area, it is not a solution to the inequality. D) None of the above. Show Answer Correct Answer: A) If the point is in the shaded area, it is a solution to the inequality. 22. Let's do one more!Is the following statement true?If a < b, then c-a < c-b A) No more please, my head hurts. B) It's true, I'm the best. C) It's definitely never true. D) It's only true if c = 0. Show Answer Correct Answer: C) It's definitely never true. 23. Does the point (1, 10) satisfy the inequality y > 2x + 7? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 24. Identify the symbol. $\ge$ A) Less than. B) Greater than. C) Less than and equal to. D) Greater than and equal to. Show Answer Correct Answer: D) Greater than and equal to. 25. $y\le-\frac{4}{5}x+2$ A) Color up with a dotted line. B) Color down with a dotted line. C) Color up with a solid line. D) Color down with a solid line. Show Answer Correct Answer: D) Color down with a solid line. 26. Which ordered pair is a solution to the linear inequality below? $x+4y<4$ A) (2, 3). B) (-3, 5). C) (-8, -2). D) (0, 4). Show Answer Correct Answer: C) (-8, -2). 27. How would you represent x < a on a number line? A) Put a circle on the number a and dark line to the left of the number a. B) Put a circle on the number a and dark line to the right of the number a. C) Put a dark line on the number a and dark the line to the left of the number a. D) Put a dark line on the number a and dark the line to the right of the number a. Show Answer Correct Answer: A) Put a circle on the number a and dark line to the left of the number a. 28. Is the point (2, -2) a solution? $y\ge2x-5$ A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 29. Solve:3 | 2x + 7| + 7 < 4 A) X <-3 and x >-5/3. B) X <-3 and x >-4. C) All real numbers. D) No solution. Show Answer Correct Answer: D) No solution. 30. Given the linear inequality below, determine if the line will be dashed or solid AND shaded above or shaded below. $y\le-\frac{1}{2}x+1$ A) Dashed Line2) Shaded Above. B) Dashed Line2) Shaded Below. C) Solid Line2) Shaded Above. D) Solid Line2) Shaded Below. Show Answer Correct Answer: D) Solid Line2) Shaded Below. 31. Lisa graph 4-2y > 4x. What must be true about the graph of Lisa's linear inequality? A) It has a solid line. B) The shading is above the line. C) The rate of change for the line is positive. D) The shading must be below the line. Show Answer Correct Answer: D) The shading must be below the line. 32. What determines if the line of the graph of an inequality is dashed or solid? A) You just guess. B) The inequality sign. C) The y-intercept. D) If the slope is positive or negative. Show Answer Correct Answer: B) The inequality sign. 33. Henry graphed y > 2x-3. Which of the following must be true as it relates to the graph of Henry's linear inequality? A) It has a "dashed" line. B) The line part has a negative slope. C) The shading must be above the line. D) None of the above. Show Answer Correct Answer: C) The shading must be above the line. 34. How do you graph the inequality Y $\geq$ 3X-2? A) Start at X-intercept 3. B) Start at Y-intercept 3. C) Start at Y-intercept-2. D) None of the above. Show Answer Correct Answer: C) Start at Y-intercept-2. 35. In simultaneous linear inequalities, the answer must satisfy ..... inequality/ies. A) Both. B) One. C) Left. D) Right. Show Answer Correct Answer: A) Both. 36. Consists of two or more linear inequalities with the same variables A) Linear Equation. B) Ineqaulity. C) System of Equations. D) System of Inequalities. Show Answer Correct Answer: D) System of Inequalities. 37. $y<-\frac{4}{5}x-3$ A) Color down with a solid line. B) Color up with a dotted line. C) Color down with a dotted line. D) Color up with a solid line. Show Answer Correct Answer: C) Color down with a dotted line. 38. What does the "b" stand for in y=mx+b? A) Slope. B) X-intercept. C) Y-intercept. D) None of the above. Show Answer Correct Answer: C) Y-intercept. 39. When do you "flip the inequalities sign" ? A) When it's a 2-step problem. B) When it's a 1-step problem. C) When you multiply or divide a negative. D) When you add or subtract a negative. Show Answer Correct Answer: C) When you multiply or divide a negative. 40. Which point is NOT a solution to $y A) (5, 1). B) (9, 1). C) (3, 3). D) (12, 7). Show Answer Correct Answer: C) (3, 3). 41. Consider the function y < 2x + 3, which of the following is true? 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) The line would be dashed with shading below. Show Answer Correct Answer: D) The line would be dashed with shading below. 42. Garima likes her job as a baby-sitter (b), but it pays only Rs300 per hour. She has been offered a job as a tutor (t) that pays Rs600 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week, but she needs to make at least Rs6600 per week. Which system of inequalities below correctly models Joann's situation? A) B + t < 153b + 6t > 66. B) 300b + 600t < 15b + t < 66. C) 3b + 6t > 15b + t < 66. D) B + t > 153b + 6t < 66. Show Answer Correct Answer: A) B + t < 153b + 6t > 66. 43. Thomas has $ 800 in his checking account. He wants to spend part of the money on an iPhone. He wants to have at least $ 450 left in his account after buying the phone. The inequality shown can be used to find t, the amount of money in dollars that Thomas can spend on the phone. $t+450\le800$ A) $t\ge1250$. B) $t\ge350$. C) $t\le1250$. D) $t\le350$. Show Answer Correct Answer: D) $t\le350$. 44. When graphing the inequality X > 3, how is the number 3 represented? A) With a dashed line. B) With a closed circle. C) With a solid line. D) With an open circle. Show Answer Correct Answer: D) With an open circle. 45. Does (6, 5) make the inequality y > 2x + 10 true? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 46. If A) Subtraction Property. B) Addition Property. C) Reflexive Property. D) Substitution Property. Show Answer Correct Answer: A) Subtraction Property. 47. June's mom brought 3 bags of plain popcorn and 2 bags of caramel popcorn to the park. Each bag contained 16 servings. Did June's mom bring more than or less than 95 servings of popcorn to the park? A) More than because 16 x 5 = 80. B) Less than because 16 + 3 + 2 = 21. C) More than because 16 x 3 x 2 = 96. D) Less than because 16 x 5 = 80. Show Answer Correct Answer: D) Less than because 16 x 5 = 80. 48. Consider the function y < 2x+3. Which is true? 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) The line would be dashed with shading below. Show Answer Correct Answer: D) The line would be dashed with shading below. 49. Which sentence represents m > 41? A) The temperature, m, was less than 41$^\circ$F. B) The magazines' cost, m, was not more than $ 41. C) Mary's points, m, totaled more than 41. D) Calvin ran no less than 41 miles, m. Show Answer Correct Answer: C) Mary's points, m, totaled more than 41. 50. Numbers of pairs of consecutive, odd natural numbers, both are greater than 10, such that their sum is less than 40 is A) 4. B) 5. C) 3. D) More than 5. Show Answer Correct Answer: A) 4. 51. What is the value of x if 4x-3 +-2x A) -2. B) 1/2. C) 2. D) -1/2. Show Answer Correct Answer: B) 1/2. 52. How would you shade the graph of y > 3/2 x-2? A) Solid, on top. B) Dashed, underneath. C) Dashed, on top. D) Solid, underneath. Show Answer Correct Answer: C) Dashed, on top. 53. X $\geq$ 2 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. 54. Do I need to flip my sign?2x-3y $\geq$ 12 A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 55. Which ordered pair is NOT a solution to y $\geq$-x + 1? A) (2, 1). B) (-4, 4). C) (0, 2). D) (-1, 6). Show Answer Correct Answer: B) (-4, 4). 56. The members of a local gymnastics organization has $ 3200 to support a group of its members to go to competition in Dallas, TX. The cost for an adult is $ 240 and the cost for a child is $ 150. Which of the following combinations of adults and children will be feasible? A) 6 children and 10 adults. B) 5 adults and 12 children. C) 12 children and 6 adults. D) None of the above. Show Answer Correct Answer: B) 5 adults and 12 children. 57. How can I tell if an inequality will have a solid line? A) The symbol is greater than. B) The symbol has "or equal to.". C) It has an equal sign. D) You just guess. Show Answer Correct Answer: B) The symbol has "or equal to.". 58. Given the linear inequality below, determine if the line will be dashed or solid AND shaded above or shaded below. $y<\frac{2}{3}x-4$ A) Dashed Line2) Shaded Above. B) Dashed Line2) Shaded Below. C) Solid Line2) Shaded Above. D) Solid Line2) Shaded Below. Show Answer Correct Answer: B) Dashed Line2) Shaded Below. 59. Let's put on our thinking cap!Is the following statement true?If a < b, then a + c < b + c A) What is a thinking cap?. B) Oh it's true. C) I don't understand the question. D) Is it true?. Show Answer Correct Answer: B) Oh it's true. 60. Consider the inequality $y<2x+3$ 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. ← 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 3Class 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