This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Maths > Quadratic Equations > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 8 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 8 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which of the fallowing is the discriminant of $x^2+7x+12=0?$ A) D=0. B) D=1. C) D=16. D) D=4. Show Answer Correct Answer: B) D=1. 2. If we are trying to find out when an object hits the GROUND, what should we put in for "h" ? A) 1. B) 0. C) 3. D) 2. Show Answer Correct Answer: B) 0. 3. Which of the following describes the transformations done to the quadratic parent function of f(x) = x$^{2 }$ to obtain g(x) = 2x$^{2}$ + 4? A) Vertical Stretch by a factor of 2 and vertical shift up 4 units. B) Vertical Shrink/Compress by a factor 2 and vertical shift up 4. C) Vertical Stretch by a factor of 2 and horizontal shift left 4 units. D) Vertical Shrink/Compress by a factor of 2 and horizontal shift right 4 units. Show Answer Correct Answer: A) Vertical Stretch by a factor of 2 and vertical shift up 4 units. 4. What does the discriminant tell us about a quadratic function? A) The maximum or minimum value. B) The y-intercept. C) The number and type of solutions. D) The axis of symmetry. Show Answer Correct Answer: C) The number and type of solutions. 5. Convert the vertex form equation $y=(x-3)^2+4$ A) $y=x^2-6x+13$. B) $y=x^2-3x+4$. C) $y=x^2-9x+13$. D) $y=x^2-3x+9$. Show Answer Correct Answer: A) $y=x^2-6x+13$. 6. How did the equation shift from the parent function? y=3x$^{2}$-2 A) Vertical shrink and down 2. B) Up 2. C) Down 2. D) Vertical stretch and down 2. Show Answer Correct Answer: D) Vertical stretch and down 2. 7. If 2(x+7)(x-3)=0, what are your solutions? A) X={0}. B) X={-7, 2, 3}. C) X={-7, 3}. D) X={2}. Show Answer Correct Answer: C) X={-7, 3}. 8. If 3+2i is one solution of a quadratic equation, then the other solution of this quadratic equation is A) 1/3-1/2i. B) 2. C) P+any. D) Go. Show Answer Correct Answer: D) Go. 9. Solve the equation by factoring. $x^2-3x-54 = 0$ A) X =-9, x =-6. B) X = 9, x =-6. C) X = 9, x = 6. D) X = 6, x =-9. Show Answer Correct Answer: B) X = 9, x =-6. 10. Solve by completing the square. x$^{2}$-10x-11= 0 A) X =-1 and 11. B) X = 1 and-11. C) X =-10 and 11. D) X =-5 and 25. Show Answer Correct Answer: A) X =-1 and 11. 11. Convert x$^{2 }$-9x + 20 to factored form and solve. A) (x-10)(x+2); x =-2, 10. B) Not factorable. C) (x-4)(x-5); x = 4, 5. D) (x+4)(x+5); x =-5, -4. Show Answer Correct Answer: C) (x-4)(x-5); x = 4, 5. 12. Identify the 'b' value in the equation:-8x + 16x$^{2}$-24 = 0 A) -8. B) -24. C) 16. D) 8. Show Answer Correct Answer: A) -8. 13. Rationalize the following:$\frac{\sqrt{2}}{\sqrt{3}+\sqrt{5}}$ A) $\frac{\sqrt{6}-\sqrt{10}}{8}$. B) $\frac{\sqrt{6}+\sqrt{10}}{8}$. C) $\frac{\sqrt{6}-\sqrt{10}}{-2}$. D) $\frac{2\sqrt{3}+2\sqrt{5}}{-2}$. Show Answer Correct Answer: C) $\frac{\sqrt{6}-\sqrt{10}}{-2}$. 14. In the equation ax$^{2}$+bx+c=0, the x term always corresponds with A) A. B) B. C) C. D) None of the above. Show Answer Correct Answer: B) B. 15. What are the values of a, b, and c in the quadratic equation 3x$^{2 }$-10 =-4x A) A = 3 b = 4 c =-10. B) A = 3 b =-10 c =-4. C) A = 3x$^{2}$ b =-10 c =-4x. D) A = 3 b =-4 c =-10. Show Answer Correct Answer: A) A = 3 b = 4 c =-10. 16. What is the axis of symmetry?f(x) = x$^{2 }$$^{}$-8x + 15. A) Y =-4. B) X = 4. C) Y = 4. D) X =-4. Show Answer Correct Answer: B) X = 4. 17. Determine the value of the discriminant and name the number of solutions for the following:x$^{2}$ + 2x-63 = 0Remember:b$^{2}$-4ac A) 137-two solutions. B) 256-two solutions. C) -256-no solution. D) 0-one solution. Show Answer Correct Answer: B) 256-two solutions. 18. Solve using the Quadratic Formula2x$^{2}$ + 7x-15 = 0 A) No Solution. B) X =-1.5, 5. C) X =-5, 1.5. D) X = 0.7, 5. Show Answer Correct Answer: C) X =-5, 1.5. 19. Say 'TRUE' or 'FALSE'Every Quadratic equation has exactly one root A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 20. Solve the quadratic equation using the square root method. $\frac{1}{2}x^2+3=75$ A) 5 and-5. B) 12 and-12. C) 25 and-25. D) 144 and-144. Show Answer Correct Answer: B) 12 and-12. 21. What is the maximum height for that same projectile? (time of maximum height was.625) h(t) =-16t$^{2}$ + 20t + 6 A) 24.75 feet. B) 8.5 feet. C) 12.25 feet. D) 6 feet. Show Answer Correct Answer: C) 12.25 feet. 22. A function has a discriminant of 4.How many x-intercepts does it have? A) 4. B) 2. C) 1. D) 0. Show Answer Correct Answer: B) 2. 23. What does the quadratic equation look like? A) $ax^2+cx+b$. B) $cx^2+bx+a$. C) $bx^2+ax+c$. D) $ax^2+bx+c$. Show Answer Correct Answer: D) $ax^2+bx+c$. 24. When looking at a quadratic graph, the solution(s) are always the ..... A) X-intercept(s). B) Axis of symmetry. C) Y-intercept. D) Vertex. Show Answer Correct Answer: A) X-intercept(s). 25. Determine the axis of symmetry from the following equation:$-\left(x-2\right)^2+4$ A) X =-2. B) X = 2. C) X = 4. D) X =-1. Show Answer Correct Answer: B) X = 2. 26. Determine the values of a, b, and c for the quadratic equation:4x$^{2}$-8x = 3 A) A = 4, b =-8, c = 3. B) A = 4, b =-8, c =-3. C) A = 4, b = 8, c = 3. D) A = 4, b = 8, c =-3. Show Answer Correct Answer: B) A = 4, b =-8, c =-3. 27. What number should be added to both sides of the equation to make the left side of the equation a perfect square trinomial? $x^2+6x=10$ A) 3. B) 12. C) 6. D) 9. Show Answer Correct Answer: D) 9. 28. Solve by completing the square.x$^{2}$ + 10x =-9 A) 1 and-12. B) -1 and-9. C) 1 and-9. D) 1 and-1. Show Answer Correct Answer: B) -1 and-9. 29. What is the vertex for the following quadratic?y =-2(x + 1)$^{2}$ + 4 A) (-2, 1). B) (-1, 4). C) (1, 4). D) (-2, 4). E) (-4, 1). Show Answer Correct Answer: B) (-1, 4). 30. Solve:2x$^{2}$ + 4 =-9x A) 1/2, 4. B) -1/2, -4. C) -1/2, -8. D) -1, -4. Show Answer Correct Answer: B) -1/2, -4. 31. Use the discriminant to find the number of solutions for the following equation.y = x$^{2}$ +10x + 25 A) 2 solutions. B) 1 solution. C) 0 solutions. D) None of the above. Show Answer Correct Answer: B) 1 solution. 32. What is the quadratic equation whose sum and product of the roots are $2$ $-3$ A) $x^2-2x-3=0$. B) $2x^2-x-3=0$. C) $x^2+2x-3=0$. D) $x^2-3x+2=0$. Show Answer Correct Answer: A) $x^2-2x-3=0$. 33. What piece of information does c identify in the following equation?y=ax$^{2}$+bx+c A) Y-intercept. B) Zeroes. C) Axis of Symmetry. D) Direction. Show Answer Correct Answer: A) Y-intercept. 34. Solve the equation by factoring:x$^{2}$-6x+8=0 A) 2, 4. B) -2, -4. C) -2, 4. D) 2, -4. Show Answer Correct Answer: A) 2, 4. 35. What is the product of the roots of the equation $\left(x-1\right)\left(x+2\right)=6$ A) $3$. B) $-8$. C) $4$. D) $-1$. Show Answer Correct Answer: B) $-8$. 36. A quadratic function has zeros-7 and 9.What are the linear factors of the function? A) (x+7) (x-9). B) (-7, 0) (9, 0). C) (x-7) (x+9). D) (0, -7) (0, 9). Show Answer Correct Answer: A) (x+7) (x-9). 37. After you find the Axis of Symmetry (AOS), what is the second step you should do?y =-2x$^{2}$-4x-1 A) Find the vertex. B) Make a table of values. C) Find the x-intercepts. D) Find the point symmetric to the y-intercept. Show Answer Correct Answer: A) Find the vertex. 38. Factor completely $88x^2y^2+24x^2y-32xy^2$ A) $2xy\left(44xy+12x-16y\right)$. B) $8xy\left(11xy+3x-4y\right)$. C) $8x^2y^2\left(11+3y-4x\right)$. D) $\left(11x^2+8y\right)\left(8x-4y^2\right)$. Show Answer Correct Answer: B) $8xy\left(11xy+3x-4y\right)$. 39. What is the vertex?y =-2x$^{2}$ + 4x + 3 A) (1, -5). B) (-1, 5). C) (0, 3). D) (1, 5). Show Answer Correct Answer: D) (1, 5). 40. Find the discriminant of the following equation.3x$^{2}$-x-2 = 0 A) 25. B) -26. C) 5. D) -24. Show Answer Correct Answer: A) 25. 41. In the quadratic equation 2x$^{2}$-9x-5 = 0, which is the constant term? A) -5. B) X$^{2}$. C) 9. D) X $^{a} $. Show Answer Correct Answer: A) -5. 42. What type of polynomial is always prime (cannot be factored)? A) A binomial sum of squares. B) The trinomial. C) A polynomial. D) None of the above. Show Answer Correct Answer: A) A binomial sum of squares. 43. What is the quadratic equation? A) $x=\frac{-b\sqrt[]{b^2-4ac}}{2a}$. B) $x=\frac{-b+\sqrt[]{b-4ac}}{2a}$. C) $x=\frac{b\pm\sqrt[]{b^2-4ac}}{2a}$. D) $x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$. Show Answer Correct Answer: D) $x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$. 44. For what value of c will the graph of y = 2x$^{2}$-36x + c and y = 2(x-9)$^{2}$-16be the same? A) -180. B) 99. C) 146. D) 63. Show Answer Correct Answer: C) 146. 45. How many solution does a quadratic equation x$^{2}$-9 = 16 have? A) None. B) 1. C) 2. D) 3. Show Answer Correct Answer: C) 2. 46. True or Falsef(x)=32x$^{2}$+4x+12 is an example of a quadratic equation. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 47. What method should you use to solve the equation:$y=4x^2+10$ A) Square Roots Method. B) Quadratic Formula. C) All the above. D) None of the above. Show Answer Correct Answer: A) Square Roots Method. 48. Factor:4x$^{2}$-17x + 15 A) (4x-5)(x-3). B) (4x-3)(x-5). C) (2x + 5)(2x-3). D) (2x-5)(2x-3). Show Answer Correct Answer: A) (4x-5)(x-3). 49. All possible y-values A) Vertex. B) Domain. C) Parabola. D) Range. Show Answer Correct Answer: D) Range. 50. True or FalseWhen you graph a quadratic function it will have a U-shape. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 51. Solve using the Quadratic Formula:(Hint:Set the equation = to 0) $15x^2+22x=-8$ A) $x=\frac{2}{3}, \\frac{4}{5}$. B) $x=-\frac{2}{3}, \-\frac{4}{5}$. C) $x=\frac{2}{3}, \-\frac{4}{5}$. D) $x=-\frac{2}{3}, \\frac{4}{5}$. Show Answer Correct Answer: B) $x=-\frac{2}{3}, \-\frac{4}{5}$. 52. Name the x-and y-intercepts for the equation:5x-3y = 15 A) (3, 0) and (0, -5). B) (0, 3) and (-5, 0). C) (5, 15) and (15, 3). D) (0, -3) and (5, 0). Show Answer Correct Answer: A) (3, 0) and (0, -5). 53. Solve using the quadratic formula. $2p^2-4p-16=0$ A) P = 4 or p =-2. B) P = 2 or p =-1. C) P = 1 or p =-2. D) No solution. Show Answer Correct Answer: A) P = 4 or p =-2. 54. What are the solutions of 5x$^{2}$ + 3x = 1? Use the quadratic formula. Round to the nearest hundredth as needed. A) .24, -.84. B) 1.20, -4.20. C) -.24, .84. D) -1.20, 4.20. Show Answer Correct Answer: A) .24, -.84. 55. Solve the quadratic equation using the square root method. $x^2+7=88$ A) 81 and-81. B) 7 and-7. C) 9 and-9. D) 8 and-8. Show Answer Correct Answer: C) 9 and-9. 56. Solve the equation using the quadratic formula.4x$^{2}$ +9x = 12x A) X = {0, 3/4}. B) X = {0, -3/4}. C) X = {0, 4/3}. D) No solution. Show Answer Correct Answer: A) X = {0, 3/4}. 57. X$^{5}$ + x$^{4}$ + x$^{2}$ A) X$^{2}$(x$^{3}$ + x$^{2}$ + 1). B) X(x$^{4}$ + x$^{3}$ + x). C) X$^{2}$(x$^{3}$ + x$^{2}$). D) X$^{3}$(x$^{2}$ + x + 1). Show Answer Correct Answer: A) X$^{2}$(x$^{3}$ + x$^{2}$ + 1). 58. Write in vertex form:y = x$^{2}$-10x + 4 A) Y = (x-5) $^{2} $-21. B) Y = (x-1) $^{2} $-29. C) Y = (x-10) $^{2} $ + 4. D) Y = (x-5) $^{2} $ + 4. Show Answer Correct Answer: A) Y = (x-5) $^{2} $-21. 59. Which binomial is a factor of $80y^2-120y+45$ A) $4y-3$. B) $ 8Y-15 $. C) $16y-9$. D) $ 8Y-9 $. Show Answer Correct Answer: A) $4y-3$. 60. Complete the square.x$^{2}$ + 6x + ..... A) X$^{2}$ + 6x-9. B) X$^{2}$ + 6x-36. C) X$^{2}$ + 6x + 36. D) X$^{2}$ + 6x + 9. Show Answer Correct Answer: D) X$^{2}$ + 6x + 9. ← PreviousNext →Related QuizzesMaths QuizzesClass 10 QuizzesClass 10 Maths Chapter 4 Quadratic Equations Quiz 1Class 10 Maths Chapter 4 Quadratic Equations Quiz 2Class 10 Maths Chapter 4 Quadratic Equations Quiz 3Class 10 Maths Chapter 4 Quadratic Equations Quiz 4Class 10 Maths Chapter 4 Quadratic Equations Quiz 5Class 10 Maths Chapter 4 Quadratic Equations Quiz 6Class 10 Maths Chapter 4 Quadratic Equations Quiz 7Class 10 Maths Chapter 4 Quadratic Equations Quiz 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books