This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Maths > Quadratic Equations > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 2 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the equation of a line that passes through the points (8, 2) and (-7, 2)? A) Y = 2x-7. B) Y = 2x-8. C) Y = 2. D) X = 2. Show Answer Correct Answer: C) Y = 2. 2. What is the square root of 196? A) + 12. B) + 11. C) + 14. D) + 13. Show Answer Correct Answer: C) + 14. 3. What is the effect of changing the 'b' value in a quadratic equation? A) It affects the position of the vertex and the axis of symmetry. B) It changes the direction of the parabola. C) It alters the width of the parabola. D) It determines the y-intercept of the equation. Show Answer Correct Answer: A) It affects the position of the vertex and the axis of symmetry. 4. Convert to Standard form y =-7(x-1)$^{2}$+2 A) Y =-7x$^{2}$-5x+14. B) Y = 7x$^{2}$+14x-5. C) Y =-7x$^{2}$+14x-5. D) Y = 7x $^{2} $-5x+14. Show Answer Correct Answer: C) Y =-7x$^{2}$+14x-5. 5. What is the degree of this polynomial? 7x$_{}$$^{}$-4x$^{5}$ + 3x$^{4}$-6x$^{2}$ A) 5. B) 4. C) 1. D) 2. Show Answer Correct Answer: A) 5. 6. Solve the equation:5x$^{2}$-35x + 60 = 0 A) X =-3, 4. B) X = 3, -4. C) X =-3, -4. D) X = 3, 4. Show Answer Correct Answer: D) X = 3, 4. 7. Solve 2x$^{2}$+ 7x =-6 A) X= 3/2 and x = 2. B) X =-3/2 and x =-2. C) X = 6 and x = 7. D) X =-6 and x =-7. Show Answer Correct Answer: B) X =-3/2 and x =-2. 8. The quadratic equation can be used to solve quadratic equations that cannot be factored. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 9. Since this quadratic equation is in standard form, what should you do first when asked to graph it?y =-2x$^{2}$-4x-1 A) Find the vertex. B) Make a table of values. C) Find the point symmetric to the y-intercept. D) Find the Axis of Symmetry (AOS). Show Answer Correct Answer: D) Find the Axis of Symmetry (AOS). 10. One solution of the quadratic equation x$^{2}$-7x+12=0 is A) X=2. B) X=-3. C) X=-2. D) X=3. Show Answer Correct Answer: D) X=3. 11. Name the form of the quadratic equation:y =-3(x-5)$^{2}$+7 A) Standard. B) Vertex. C) Factored. D) None of These. Show Answer Correct Answer: B) Vertex. 12. The area of a playground is 336 yd2. The width of the playground is 5 yd longer than its length. Find the length and width of the playground A) Length = 16 yd, width = 21 yd. B) Length = 21 yd, width = 26 yd. C) Length = 26 yd, width = 21 yd. D) Length = 21 yd, width = 16 yd. Show Answer Correct Answer: A) Length = 16 yd, width = 21 yd. 13. Solve $5x^2+13x=6$ A) $\left\{-3, \-\frac{2}{5}\right\}$. B) $\left\{3, \-\frac{2}{5}\right\}$. C) $\left\{-3, \\frac{2}{5}\right\}$. D) $\left\{3, \\frac{2}{5}\right\}$. Show Answer Correct Answer: C) $\left\{-3, \\frac{2}{5}\right\}$. 14. Choose the best method to solve this quadratic:(a) 2x$^{2 }$-54 = 12x A) A. Factoring. B) Completing the Square. C) Quadratic Formula. D) Square Roots. Show Answer Correct Answer: A) A. Factoring. 15. What is the vertex?f(x) = 2(x-5)$^{2}$ + 12 A) (5, 12). B) (-5, -12). C) (-5, 12). D) (5, -12). Show Answer Correct Answer: A) (5, 12). 16. Ben and his girlfriend got in a fight and she threw his phone off of a balcony. The height of the phone can be modeled by the equation:h(t) =-16t$^{2}$ + 35t + 22 When did the phone reach its maximum height? (Round to 2 decimal places) A) 21.91 seconds. B) 2.19 seconds. C) 1.09 seconds. D) 41.14 seconds. Show Answer Correct Answer: C) 1.09 seconds. 17. Solve:(k+7)$^{2 }$= 289 A) 10 and-23. B) -10 and 23. C) -10 and-23. D) 10 and 23. Show Answer Correct Answer: A) 10 and-23. 18. Solve:3x$^{2}$-12 = 0 A) X = 4 or x =-4. B) X = 2 or x = 0. C) X = 4 or x = 0. D) X = 2 or x =-2. Show Answer Correct Answer: D) X = 2 or x =-2. 19. Calculate the vertex point for the quadratic equation:y =-3x$^{ 2 }$ +12x-20 A) (4, -20). B) (-3, 12). C) (2, -8). D) (-2, -32). Show Answer Correct Answer: C) (2, -8). 20. Using the discriminant, describe the nature of the roots of $x^2+4x-21=0$ A) Imaginary and Unequal numbers. B) Real, Unequal, Rational numbers. C) Real, Unequal, Irrational numbers. D) Real and Equal numbers. Show Answer Correct Answer: B) Real, Unequal, Rational numbers. 21. Multiply.(5x + 2)(x$^{2 }$-3x + 6) A) 5x$^{3 }$-17x$^{2 }$+24x +12. B) 5x$^{3 }$+ 17x$^{2}$-24x +12. C) 5x$^{3}$-13x$^{2}$ + 24x +12. D) 5x$^{3}$ +13x$^{2}$-24x-12. Show Answer Correct Answer: C) 5x$^{3}$-13x$^{2}$ + 24x +12. 22. The solutions to a quadratic equation are {-4, 1}. Which equation can be used to represent the quadratic function? A) $y=x^2+3x-4$. B) $y=x^2+6x-2$. C) $y=x^2-3x+8$. D) $y=x^2-6x+2$. Show Answer Correct Answer: A) $y=x^2+3x-4$. 23. In the Quadratic Equation 2x$^{2}$ + 5x + 3 = 0, what is the value of a? A) 1. B) 3. C) 5. D) 2. Show Answer Correct Answer: D) 2. 24. Solve:x$^{2}$ = 7x + 18*HINT* Set = to 0 first, factor, then solve. A) -7 and-18. B) 9 and 2. C) 9 and-2. D) 2 and 7. Show Answer Correct Answer: C) 9 and-2. 25. Solve using the Quadratic Formula:8x$^{2}$-6x+1=0 A) X=-0.5, -0.25. B) No Solution. C) X=0.25, 0.5. D) X=0, 1. Show Answer Correct Answer: C) X=0.25, 0.5. 26. Use the quadratic formula to find the solutions to this equation. $3x^2-4x-22=0$ A) $x=\frac{2+\sqrt{70}}{3}, \\x=\frac{2-\sqrt{70}}{3}$. B) $x=\frac{-6+\sqrt{78}}{3}, \\x=\frac{-6-\sqrt{78}}{3}$. C) No real solutions. D) $x=\frac{-5+\sqrt{5}}{10}, \\x=\frac{-5-\sqrt{5}}{10}$. Show Answer Correct Answer: A) $x=\frac{2+\sqrt{70}}{3}, \\x=\frac{2-\sqrt{70}}{3}$. 27. Solve the following equation by completing the square:n$^{2}$-2n-3 = 0 A) {3 and-1}. B) {4 and-4}. C) {5 and-3}. D) {8 and-7}. Show Answer Correct Answer: A) {3 and-1}. 28. In the quadratic equation, how do you identity the y-intercept? A) A. B) B. C) C. D) X. Show Answer Correct Answer: C) C. 29. What are the solutions to the equation below? $x^2-4=0$ A) $x=2$. B) $x=4, \\x=-4$. C) $x=2, \\x=-2$. D) $x=\sqrt{-4}, \\x=\sqrt{4}$. Show Answer Correct Answer: C) $x=2, \\x=-2$. 30. The solutions of the quadratic equation x$^{2}$+x+3=0 are A) No solutions. B) X = 1 or x = 3. C) X =-3 or x = 1. D) X =-1 or x =-3. Show Answer Correct Answer: A) No solutions. 31. Which graph would be wider than the graph of y = x$^{2}$? A) Y = 10x$^{2}$. B) Y = (0.25) x $^{2} $. C) All the above. D) None of the above. Show Answer Correct Answer: B) Y = (0.25) x $^{2} $. 32. What value of c would make this a perfect sqaure trinomial?x$^{2}$ +8x + c A) 4. B) 16. C) -16. D) 64. Show Answer Correct Answer: B) 16. 33. The discriminant is A) B $^{2} $-4ac. B) B $^{2} $+4ac. C) AX$^{2}$ + bX$^{}$ + c. D) B-4ac. Show Answer Correct Answer: A) B $^{2} $-4ac. 34. What should you do next? $x^2-25x=0$ A) A. Factor into (x + 5)(x-5). B) B. Add 25x to both sides. C) C. Factor out x. D) None of the above. Show Answer Correct Answer: C) C. Factor out x. 35. Solve 2x$^{2}$ + 17x + 21 = 0 A) X= $^{2}$/$_{3}$, 16. B) X= 15, -$^{3}$/$_{7}$. C) X=-7, $^{-3}$/$_{2}$. D) X= $^{-21}$/$_{2}$, -17. Show Answer Correct Answer: C) X=-7, $^{-3}$/$_{2}$. 36. Use quadratic formula to solve:$x^2+4x+3=0$ A) $\left\{-1, -3\right\}$. B) $\left\{1, 3\right\}$. C) $\left\{4, -3\right\}$. D) $ i \sqrt {3} $. Show Answer Correct Answer: A) $\left\{-1, -3\right\}$. 37. Complete the Squarex$^{2}$ + 6x = 5 A) (x + 6)$^{2}$ = 14. B) (x + 3)$^{2}$ = 14. C) (x + 3)$^{2}$ = 5. D) (x + 6)$^{2}$ = 9. Show Answer Correct Answer: B) (x + 3)$^{2}$ = 14. 38. Complete the square for x$^{2}$ + 12x + ..... A) X$^{2}$ + 12x + 144. B) X$^{2}$ + 12x + 36. C) X$^{2}$ + 12x-36. D) X$^{2}$ + +12x-144. Show Answer Correct Answer: B) X$^{2}$ + 12x + 36. 39. Solve by Completing the Square:Round to the nearest tenth.2x$^{2}$+4x-5=7Hint:Move the 5 and you must have a lead number of 1! A) -0.4 and-3.4. B) -2.3 and 4.3. C) -3.6 and 1.6. D) No solution. Show Answer Correct Answer: C) -3.6 and 1.6. 40. The solution of the quadratic equation 4x$^{2}$-5x-9=0 are A) X=1 or x=9/4. B) X=-2 or x=-3. C) X=2 or x=3. D) X=-1 or x=9/4. Show Answer Correct Answer: D) X=-1 or x=9/4. 41. What is the y-intercept?y =-2x$^{2}$-4x-1 A) (-1, 0) because y =-2(0)$^{2}$-4(0)-1. B) (0, -1) because y =-2(0)$^{2}$-4(0)-1. C) (-1, 0) because 0 =-2x$^{2}$-4x-1. D) (0, -1) because 0 =-2x$^{2}$-4x-1. Show Answer Correct Answer: B) (0, -1) because y =-2(0)$^{2}$-4(0)-1. 42. What is the formula to calculate the term to be added to make an expression a perfect square trinomial? A) C = $\left(\frac{b}{2}\right)^2$. B) C = $\left(\frac{b}{4}\right)^2$. C) C = $\frac{b}{2}$. D) C = $\frac{-b}{2a}$. Show Answer Correct Answer: A) C = $\left(\frac{b}{2}\right)^2$. 43. Which of the following is an example of quadratic equations? A) X + 9 = 0. B) X + y = 12. C) X $^{3} $ + 5x $^{2} $-14 = 0. D) X$^{2}$-2x = 7. Show Answer Correct Answer: D) X$^{2}$-2x = 7. 44. What is the formula for the discriminant? A) B-4ac. B) B $^{2} $-4ac. C) -b $^{2} $-4ac. D) $\frac{-b}{2a}$. Show Answer Correct Answer: B) B $^{2} $-4ac. 45. What does the 'a' value in a quadratic equation determine? A) The position of the vertex. B) The direction of the parabola (upward if a > 0, downward if a < 0). C) The x-intercepts of the parabola. D) The width of the parabola. Show Answer Correct Answer: B) The direction of the parabola (upward if a > 0, downward if a < 0). 46. What is the formula to find the vertex of a parabola? A) X =-b / (2a). B) X =-b / 2. C) X =-b/2. D) X =-b. Show Answer Correct Answer: A) X =-b / (2a). 47. The axis of symmetry line passes through which point? A) Y-intercept. B) Any random point. C) Vertex. D) None of these. Show Answer Correct Answer: C) Vertex. 48. Solve by factoring:2x$^{2}$+ 7x + 6 = 0 A) X= 3/2 and x = 2. B) X =-3/2 and x =-2. C) X = 6 and x = 7. D) X =-6 and x =-7. Show Answer Correct Answer: B) X =-3/2 and x =-2. 49. Which binomial is a factor of $6x^2+48x+96$ A) $x+4$. B) $ shi+16 $. C) $ ZKS+8 $. D) $ ZKS+16 $. Show Answer Correct Answer: A) $x+4$. 50. In the quadratic formula, the expression b$^{2}$-4ac is called A) Discrim. B) Determinant. C) Discriminant. D) None of these. Show Answer Correct Answer: C) Discriminant. 51. Use the quadratic formula to solve 2x$^{2}$ + 2x-12 = 0? A) 2, -3. B) 2, 3. C) -2, 3. D) -2, -3. Show Answer Correct Answer: A) 2, -3. 52. What is another name for the x-intercepts of a quadratic? A) Zeros. B) Y-intercept. C) X-axis. D) They don't have another name. Show Answer Correct Answer: A) Zeros. 53. What is the definition for a vertex? A) Mirror line in a quadratic. B) Place where the curve crosses the y axis. C) Place where the curve crosses the x axis. D) Place where the curve changes direction. Show Answer Correct Answer: D) Place where the curve changes direction. 54. Determine the number of real solutions for $6n^2+7n+2=8$ A) 2 real solutions. B) 1 real solution. C) No real solutions. D) None of the above. Show Answer Correct Answer: A) 2 real solutions. 55. If x(x+5)=0, what is the solution? A) X={-5, 0}. B) X=0. C) X={0, 5}. D) X=-5. Show Answer Correct Answer: A) X={-5, 0}. 56. In a linear equation, how do you identify the y-intercept? A) Y. B) X. C) B. D) M. Show Answer Correct Answer: C) B. 57. What is the understood leading coefficient of x$^{2}$ A) 0. B) 1. C) All the above. D) None of the above. Show Answer Correct Answer: B) 1. 58. Solve 2x$^{2}$ + 7x-15 = 0 A) No Solution. B) -5 or 3/2. C) 0.7 or 5. D) -3/2 or 5. Show Answer Correct Answer: B) -5 or 3/2. 59. The graph of a quadratic function is called a A) Vertex form. B) Parabola. C) Half oval. D) Quadratic graph. Show Answer Correct Answer: B) Parabola. 60. Solve the following quadratics equation using an appropriate method:$x^2-10x-5=0$ A) $x=-5\pm\sqrt{30}$. B) $x=30\pm\sqrt{5}$. C) $x=5\pm\sqrt{30}$. D) $x=-30\pm\sqrt{5}$. Show Answer Correct Answer: C) $x=5\pm\sqrt{30}$. ← PreviousNext →Related QuizzesMaths QuizzesClass 10 QuizzesClass 10 Maths Chapter 4 Quadratic Equations Quiz 1Class 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 8Class 10 Maths Chapter 4 Quadratic Equations Quiz 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books