This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Maths > Quadratic Equations > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 9 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 9 (56 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Determine the values of a, b, and c for the quadratic equation:4k$^{2}$ = 3 + 8k 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: A) A = 4, b =-8, c =-3. 2. Identify c of the following quadratic function:y = x$^{ 2 }$+ 16x + 64 A) 2. B) 16. C) 1. D) 64. Show Answer Correct Answer: D) 64. 3. If a quadractic equation is in standard form, y = ax$^{2}$ + bx + c, and the a value is greater than 0, the parabola opens in which direction? A) Upward. B) Downward. C) All the above. D) None of the above. Show Answer Correct Answer: A) Upward. 4. Solve using the quadratic formula. $x^2-2x-4=0$ A) $2\pm\sqrt{20}$. B) $1\pm\sqrt{5}$. C) $4\pm\sqrt{2}$. D) $1\pm\sqrt{10}$. Show Answer Correct Answer: B) $1\pm\sqrt{5}$. 5. Which is the BEST method to use to solve this equation?3a$^{2}$ = 27 A) Quadratic Formula. B) Factor Method. C) Complete the Square. D) Square Root Method. Show Answer Correct Answer: D) Square Root Method. 6. The solutions of the quadratic equation x$^{2}$+2x-15=0 are A) X = 5 or x =-3. B) X =-3 or x =-5. C) X = 3 or x = 5. D) X =-5 or x = 3. Show Answer Correct Answer: D) X =-5 or x = 3. 7. What is the vertex form for a vertex of (-3, -5) and when a=-2? A) Y =-2 (x-3) $^{2} $+5. B) Y =-2 (x+3) $^{2} $+5. C) Y =-2(x+3)$^{2}$-5. D) None of the above. Show Answer Correct Answer: C) Y =-2(x+3)$^{2}$-5. 8. Factor this:x$^{2}$+5x-36=0 A) (x+5)(x-36)=0. B) (x-4)(x+9)=0. C) (x+6)(x-6)=0. D) (x+4)(x-9)=0. Show Answer Correct Answer: B) (x-4)(x+9)=0. 9. How many real solution/s or root/s does the equation n$^{2}$ = 0? A) 2. B) 0. C) 3. D) 1. Show Answer Correct Answer: D) 1. 10. The graph of the function f(x) = ax$^{2}$ is the parent function. What must be true of a for the graph wider than the parent function? A) The number is small. B) The number is large. C) The number is positive. D) The number is negative. Show Answer Correct Answer: A) The number is small. 11. What is the discriminant of 6x$^{2}$-2x-3 = 0 A) 76. B) 29. C) 68. D) None of these. Show Answer Correct Answer: A) 76. 12. What is the y-intercept of f(x)=-7x$^{2}$ + 4x + 2 A) (0, 4). B) (0, -7). C) (0, 2). D) (0, -14). Show Answer Correct Answer: C) (0, 2). 13. Which of the following methods could be used to solve $x^2 + 4x-11 = 0$ A) I, III and IV. B) III and IV. C) IV only. D) I, II, III and IV. Show Answer Correct Answer: B) III and IV. 14. Solve by factoring:x$^{2}$-9x+20 =0 A) Not factorable. B) X=-5, x-4. C) X=4, x=5. D) X=-2, x=10. Show Answer Correct Answer: C) X=4, x=5. 15. Describe the number and type solutions for the following:-2x$^{2}$-x-1 = 0if the discriminant is equal to-7 A) 2 real solution. B) 2 imaginary solution. C) 1 real solution. D) None of the above. Show Answer Correct Answer: B) 2 imaginary solution. 16. Complete the Squarex$^{2}$ + 10x + ..... A) X$^{2}$ + 10x + 100. B) X$^{2}$ + 10x-25. C) X$^{2}$ + 10x-100. D) X$^{2}$ + 10x + 25. Show Answer Correct Answer: D) X$^{2}$ + 10x + 25. 17. Find the roots of this equationx$^{2 }$+ x-6 = 0 A) 2, -3. B) -6, 1. C) 4, -1. D) 3, -2. Show Answer Correct Answer: D) 3, -2. 18. According to exponent rules, when we divide the expressions we ..... the exponents. A) Add. B) Divide. C) Multiple. D) Subtract. Show Answer Correct Answer: D) Subtract. 19. Find the y-intercept of f(x) = 2x$^{2 }$-2x + 1 A) 1. B) -2. C) 2. D) -1. Show Answer Correct Answer: A) 1. 20. X-12 =-x$^{2}$ is an example of quadratic equation. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 21. What is the equation for standard form? A) Y = ax$^{2 }$+ bx + c. B) Y = x$^{2 }$+ bx + c. C) Y = mx + b. D) Ax + By = C. Show Answer Correct Answer: A) Y = ax$^{2 }$+ bx + c. 22. What type of equations always include an x$^{2}$? A) Quadratic. B) Exponential. C) Quartic. D) Linear. Show Answer Correct Answer: A) Quadratic. 23. What are the sum and the product of the roots $3x^2=2x+7$ A) S= 2 and P= 7. B) S= 2/3 and P= 7/3. C) S= 2/3 and P=-7/3. D) S=-3/2 and P=-3/7. Show Answer Correct Answer: C) S= 2/3 and P=-7/3. 24. Find the quadratic equation in standard form from the given roots below:$2\pm\sqrt[]{16}$ A) $x^2-15x-12=0$. B) $x^2-4x+16=0$. C) $x^2-4x-12=0$. D) None of the above. Show Answer Correct Answer: C) $x^2-4x-12=0$. 25. Solve:X$^{2}$ + 3 = 6X-10 A) X = 7, -1. B) No Solution. C) X =-7, -1. D) X =-7, 1. Show Answer Correct Answer: B) No Solution. 26. Find the expression equivalent to (x-1)(x-9) HINT:Use the generic rectangle to multiply. A) X$^{2}$-10x-9. B) X$^{2}$+9. C) X$^{2}$+10x+9. D) X$^{2}$-10x+9. Show Answer Correct Answer: D) X$^{2}$-10x+9. 27. Which of the following quadratic equations can be solved by factoring? A) $x^2+11x+2=0$. B) $ x^2-7x+3 = 0 $. C) $x^2+11x+30=0$. D) $ x^2+7x+3 = 0 $. Show Answer Correct Answer: C) $x^2+11x+30=0$. 28. Factor:x$^{2}$ + 5x-24 A) (x + 12)(x-2). B) (x + 6)(x-4). C) (x + 8)(x-3). D) (x-8)(x + 3). Show Answer Correct Answer: C) (x + 8)(x-3). 29. ZKS $^{2} $-48 = 0 A) X= 4, 4. B) X=-4, -4. C) X=-4, 4. D) None of the above. Show Answer Correct Answer: C) X=-4, 4. 30. And lastly, if it had three parts ..... Trinomial FactoringFactor:x$^{2}$-6x-40 A) (x-8)(x+5). B) (x+10)(x-4). C) (x-10)(x+4). D) (x+8)(x-5). Show Answer Correct Answer: C) (x-10)(x+4). 31. If the discriminant is positive, then the solution will be A) One real solution. B) One imaginary solution. C) Two real solutions. D) No real solutions. Show Answer Correct Answer: C) Two real solutions. 32. The solutions of the quadratic equation x$^{2}$-5x+6=0 are A) X=3 or x=2. B) X=-3 or x= 2. C) X=-1 or x=6. D) X=1 or x=-6. Show Answer Correct Answer: A) X=3 or x=2. 33. What are the values of x does the quadratic equation (x-2)$^{2}$ = 25 have? A) X = 5 and x = 2. B) X = 7 and x =-3. C) X = 5 and x =-2. D) X = 3 and x =-7. Show Answer Correct Answer: B) X = 7 and x =-3. 34. What effects does "a" have on the parent function? A) Vertical stretch/compression. B) Horizontal shift (left/right). C) Vertical shift (up/down). D) None of the above. Show Answer Correct Answer: A) Vertical stretch/compression. 35. What are the solutions of 7x$^{2}$ + 8x + 1 = 0? Solve using the quadratic formula. A) -1, -7. B) -1, 1/7. C) 1, 7. D) -1, -1/7. Show Answer Correct Answer: D) -1, -1/7. 36. Is this function wider, narrower, or the same as y=x$^{2}$?f(x) =-6(x-7)$^{2}$-9 A) Wider. B) Narrower. C) Same. D) None of the above. Show Answer Correct Answer: B) Narrower. 37. If the sum of two numbers is 20 and its product is 64, find the numbers. A) 2 and 18. B) 3 and 17. C) 4 and 16. D) 8 and 12. Show Answer Correct Answer: C) 4 and 16. 38. In order to use the quadratic formula, the equation must be equal to ..... A) No solution. B) 1. C) Undefined. D) 0. Show Answer Correct Answer: D) 0. 39. Solve by completing the square.x$^{2}$ + 4x= 12 A) X = 2 and-2. B) X =-6 and 2. C) X = 6 and-2. D) X = 1 and-1. Show Answer Correct Answer: B) X =-6 and 2. 40. What is the final step in simplifying the solution of the quadratic formula? A) Multiply all terms by 2. B) Divide all terms by the greatest common factor. C) Add the values of a, b, and c. D) Square the entire equation. Show Answer Correct Answer: B) Divide all terms by the greatest common factor. 41. -6x-6(-3x + 3) = 114 A) X = 11. B) X = 14. C) X = 9. D) X = 5. Show Answer Correct Answer: A) X = 11. 42. What is the discriminant of the equation $x^2+3x\-10=0$ A) -31. B) -34. C) 9. D) 49. Show Answer Correct Answer: D) 49. 43. Solve the equation below. $x^2-18x + 81 = 0$ A) X = 0. B) X = 9. C) X =-9. D) X = 18. Show Answer Correct Answer: B) X = 9. 44. Determine the vertex from the following equation:$-3\left(x-4\right)^2+1$ A) Vertex:(-4, 1). B) Vertex:(4, 1). C) Vertex:(4, -1). D) Vertex:(-4, -1). Show Answer Correct Answer: B) Vertex:(4, 1). 45. What is the y intercept for the equation:y =-8x$^{2}$ + 3x-7 A) (0, -7). B) (0, 3). C) (0, -8). D) (0, 7). Show Answer Correct Answer: A) (0, -7). 46. Factor $x^2-10x+9$ A) $\left(x-1\right)\left(x-9\right)$. B) $\left(x+1\right)\left(x-9\right)$. C) $\left(x-1\right)\left(x+9\right)$. D) $\left(x+1\right)\left(x+9\right)$. Show Answer Correct Answer: A) $\left(x-1\right)\left(x-9\right)$. 47. But ..... You must always set the equation equal to zero before you factor.Solve:x$^{2}$+9x =18 A) X =-3 or x =-6. B) X =-2 or x =-9. C) X = 3 or x = 6. D) X = 2 or x = 9. Show Answer Correct Answer: A) X =-3 or x =-6. 48. Determine the values of a, b, and c for the quadratic equation:3m$^{2 }$-14 = 11m A) A=3 b=14 c=-11. B) A=4 b=-14 c=11. C) A=3 b=-14 c=11. D) A=4 b=14 c=-11. Show Answer Correct Answer: A) A=3 b=14 c=-11. 49. What is a second degree polynomial equation? A) Linear Equations. B) Quadratic Functions. C) Quadratic Inequalities. D) Quadratic Equations. Show Answer Correct Answer: D) Quadratic Equations. 50. What is the simplified form of (-3 + 2i)(1-4i) A) -11-10i. B) -3-8i. C) 5 + 14i. D) -2-any. Show Answer Correct Answer: C) 5 + 14i. 51. What is the "formula" for finding the axis of symmetry? A) $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$. B) $y=mx+b$. C) $x=\frac{-b}{2a}$. D) $y=ax^2+bx+c$. Show Answer Correct Answer: C) $x=\frac{-b}{2a}$. 52. Identify the 'b' value:y = 16x$^{2}$-8x-24 A) -8. B) 8. C) 16. D) -24. Show Answer Correct Answer: A) -8. 53. Solve by completing the square.y$^{2}$ + 10y =-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. 54. Simplify:(3x$^{4}$ + 2x-4x$^{2}$) + (5x$^{2}$-8x + 6x$^{4}$) A) 3x$^{4}$-6x + x$^{2}$. B) 3x$^{4}$ + 9x$^{2}$ + 6x. C) 9x$^{4}$ + x$^{2}$-6x. D) 9x$^{4}$ + 10x + 9x$^{2}$. Show Answer Correct Answer: C) 9x$^{4}$ + x$^{2}$-6x. 55. What is the discriminant of the following quadratic equation? $y=7x^2-5x+32$ A) $921$. B) $1164$. C) $-871$. D) $689$. Show Answer Correct Answer: C) $-871$. 56. $\left(a+b\right)^2$ A) A$^{2}$+b$^{2}$. B) A$^{2}$+2ab+b$^{2}$. C) A$^{2}$+4ab+b$^{2}$. D) Any $^{a} $+4 August+$^{a} $. Show Answer Correct Answer: B) A$^{2}$+2ab+b$^{2}$. ← PreviousRelated 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 8 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books