This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Maths > Quadratic Equations > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. 2 is the highest degree for quadratic equations A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 2. The equation 9-4x = 15 A) Quadratic. B) Not Quadratic. C) All the above. D) None of the above. Show Answer Correct Answer: B) Not Quadratic. 3. What is the vertex of y=x$^{2}$-6x + 10 A) (3, -1). B) (0, 8). C) (2, 4). D) (4, 2). Show Answer Correct Answer: A) (3, -1). 4. There is a formula to solve a quadratic equation. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 5. Factor this:x$^{2}$+5x=0 A) X+5=0. B) X(x+5)=0. C) X=5. D) (x+5)(x+1)=0. Show Answer Correct Answer: B) X(x+5)=0. 6. What do we call the highest or lowest point of a quadratic? A) Graph. B) Vertex. C) Point. D) Parabola. Show Answer Correct Answer: B) Vertex. 7. What is the form of the function:$y=2x^2+3x+2$ A) Standard. B) Vertex. C) All the above. D) None of the above. Show Answer Correct Answer: A) Standard. 8. If (x-4)(x+9)=0, what's your solution? A) X={-4, 9}. B) X=0. C) X={-9, 4}. D) X=49. Show Answer Correct Answer: C) X={-9, 4}. 9. Choose the best method to solve this quadratic:(a) x$^{2}$ = 1-x A) Square Roots. B) Factoring. C) A. Quadratic Formula. D) Completing the Square. Show Answer Correct Answer: C) A. Quadratic Formula. 10. What are the roots of y = (2x-7)(x +6)? A) {7, -6}. B) {7, -6}. C) {-7/2, -6}. D) {7/2, -6}. Show Answer Correct Answer: D) {7/2, -6}. 11. How do you convert a quadratic equation from standard form to vertex form? A) Complete the square to rewrite the equation in vertex form. B) Factor the equation into two binomials. C) Use the quadratic formula to find the roots. D) Graph the equation and identify the vertex. Show Answer Correct Answer: A) Complete the square to rewrite the equation in vertex form. 12. Factor $5x^2-13x+6$ A) $\left(x+3\right)\left(5x-2\right)$. B) $\left(x-2\right)\left(5x-3\right)$. C) $\left(x+2\right)\left(5x+3\right)$. D) $\left(x-3\right)\left(5x+2\right)$. Show Answer Correct Answer: B) $\left(x-2\right)\left(5x-3\right)$. 13. What should be the next step in solving $x^2-5x+6=0$ A) $\left(x-6\right)\left(x+1\right)=0$. B) Answer is not in the choices. C) $\left(x-6\right)\left(x-1\right)=0$. D) $\left(x-3\right)\left(x-2\right)=0$. Show Answer Correct Answer: D) $\left(x-3\right)\left(x-2\right)=0$. 14. Which way is the graph of $y=x^2-8$ $y=x^2$ A) Left 8. B) Up 8. C) Right 8. D) Down 8. Show Answer Correct Answer: D) Down 8. 15. When can we use factoring in solving quadratic equations? A) When D is a perfect square. B) When D is greater than 0. C) When D is equal to 1. D) When D is less than 0. Show Answer Correct Answer: A) When D is a perfect square. 16. What method would you use to solve the equation:y = (x + 3)(2x + 1)? A) Zero Product Property. B) Complete the Square. C) All the above. D) None of the above. Show Answer Correct Answer: A) Zero Product Property. 17. Solve the following quadratic equation ..... x$^{2}$ + 9x + 20 = 0 A) X =-1x =-20. B) X =-2x =-10. C) X =-5x =-4. D) X = 4x = 5. Show Answer Correct Answer: C) X =-5x =-4. 18. What form is f(x)=(x+1)(x-2)? A) Standard. B) Factored. C) Vertex. D) None of the above. Show Answer Correct Answer: B) Factored. 19. The quadratic equation, when solved, generates two answers. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 20. The Mendez family just bought a home for $ 180, 000. If the value of the home increases at a rate of 3% per year, use an exponential function to find the approximate value of the home after 10 years. A) $ 234, 000. B) $ 258, 000. C) $ 242, 000. D) $ 250, 000. Show Answer Correct Answer: C) $ 242, 000. 21. Determine the x-intercept(s):y=(x+2)$^{2}$-16 A) (2, 0) and-2. B) (-6, 0) and (2, 0). C) (6, 0) and (-2, 0). D) (1, 0) and (-1, 0). Show Answer Correct Answer: B) (-6, 0) and (2, 0). 22. What is the standard form of the quadratic equation, 5x$^{2}$ = 3x-4? A) 5x $ ^ {2} $ + 3x + 4 = 0. B) 5x $ ^ {2} $ + 3x-4 = 0. C) 5x $ ^ {2} $-3x + 4 = 0. D) 5x $ ^ {2} $-3x-4 = 0 = 0. Show Answer Correct Answer: C) 5x $ ^ {2} $-3x + 4 = 0. 23. What is the axis of symmetry for the following functionf(x) = 2x$^{2}$-2x + 3 A) X = 3. B) Y = 1/2. C) X = 1/2. D) Y = 3. Show Answer Correct Answer: C) X = 1/2. 24. What is the sum of the roots of the equation $7x-3=-5x^2$ A) $12$. B) $\frac{7}{5}$. C) $-\frac{7}{5}$. D) $2$. Show Answer Correct Answer: C) $-\frac{7}{5}$. 25. Find the missing value "c" to create a perfect square trinomial:x$^{2}$-8x + ..... A) 16. B) 4. C) 8. D) -4. Show Answer Correct Answer: A) 16. 26. Solve:x$^{2}$+12x+35=0 A) X =-5 or x =-7. B) X =-9 or x =-4. C) X = 5 or x = 7. D) X =-35 or x =-1. Show Answer Correct Answer: A) X =-5 or x =-7. 27. True or false:The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing. A) True. B) False, because the solution and root are the same but the x-intercept and zero are different. C) False, because the x-intercept and root are the same but the zero and solution are different. D) False, they are all different. Show Answer Correct Answer: A) True. 28. Solve 16a$^{2}$-9 = 0 A) A = $^{-4}$/$_{3}$, $^{4}$/$_{3}$. B) A = $^{-16}$/$_{9}$, $^{16}$/$_{9}$. C) A = $^{-9}$/$_{16}$, $^{9}$/$_{16}$. D) A = $^{-3}$/$_{4}$, $^{3}$/$_{4}$. Show Answer Correct Answer: D) A = $^{-3}$/$_{4}$, $^{3}$/$_{4}$. 29. To solve $x^2-8x=0$ A) $ x^2-8x+16 =-16 $. B) Answer is not in the choices. C) $ x^2-8x+16 = 16 $. D) $ x^2-8x+16 = 0 $. Show Answer Correct Answer: C) $ x^2-8x+16 = 16 $. 30. The line through the parabola so that each side is a mirror image A) Vertex. B) Maximum. C) Axis of Symmetry. D) Maximum. Show Answer Correct Answer: C) Axis of Symmetry. 31. An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation s(t) =-16t$^{2}$ + 64t + 80. What will be the object's maximum height? A) 144 ft. B) 64 ft. C) 80 ft. D) 2 ft. Show Answer Correct Answer: A) 144 ft. 32. Solve by using the quadratic formula:15x$^{2}$+22x=-8 A) 2/3, 4/5. B) -2/3, -4/5. C) -2/3, 4/5. D) 2/3, -4/5. Show Answer Correct Answer: B) -2/3, -4/5. 33. Which quadratic function in vertex form best represents the graph that has a vertex at (4, -1) and passes through the point (8, 3)? A) F(x) = 4(x + 4)$^{2}$-1. B) F(x) = 4(x-4)$^{2}$-1. C) F(x) = 1/4(x + 4)$^{2}$-1. D) F(x) = 1/4(x-4)$^{2}$-1. Show Answer Correct Answer: D) F(x) = 1/4(x-4)$^{2}$-1. 34. Identify a, b and c in the quadratic equation:$2x^2-3x-5=0$ A) A = 2, b =-3, c = 5. B) A = 2, b = 3, c =-5. C) A =-2, b = 3, c = 5. D) A = 2, b =-3, c =-5. Show Answer Correct Answer: D) A = 2, b =-3, c =-5. 35. Solve:x$^{2}$-64 = 0 A) X = 8 or x =-8. B) X =-8. C) X = 16 or x =-16. D) X = 8. Show Answer Correct Answer: A) X = 8 or x =-8. 36. Which is the standard form for a quadratic equation? A) $y=a\left(x-h\right)^2+k$. B) $ax^2+bx+c=0$. C) $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$. D) $a^2+b^2=c^2$. Show Answer Correct Answer: B) $ax^2+bx+c=0$. 37. What are the solutions of $^{}$x$^{2}$-10x + 14 = 0? Use the quadratic formula. Round to the nearest hundredth as needed. A) -8.32, 1.69. B) -1.69, -8.32. C) -1.69, -8.32. D) 8.32, 1.69. Show Answer Correct Answer: D) 8.32, 1.69. 38. If you are to solve the equation below by using factoring, choose from the given options the correct factored form. $x^2+4x-45=0$ A) (x + 5) (x + 9) = 0. B) (x-5) (x + 9) = 0. C) (x-5) (x-9) = 0. D) (x + 5) (x-9) = 0. Show Answer Correct Answer: B) (x-5) (x + 9) = 0. 39. Doug purchased land for $ 8, 000 in 1995. The value of the land depreciated by 4% each year thereafter. Use an exponential function to find the approximate value of the land in 2002. A) $ 6, 012. B) $ 6, 262. C) $ 5, 760. D) $ 5, 771. Show Answer Correct Answer: A) $ 6, 012. 40. What is the name of the graph of a quadratic equation? A) Paramedic. B) Ebola. C) Parabola. D) Parentheses. Show Answer Correct Answer: C) Parabola. 41. In the equation y = x$^{}$$^{2}$ +5x +7, match each leading coefficient with its correct letter A) A=0, b=5, c=7. B) A=1, b=5, c=7. C) A=7, b=5, c=1. D) None of the above. Show Answer Correct Answer: B) A=1, b=5, c=7. 42. Kyle factored out the GCF from the equation as the first step to figuring out when his soccer ball hit the ground. Finish factoring the equation and determine when it hit the ground.h(t) =-16(x$^{2}$-4x-5) A) H(t) =-16(x + 1)(x-5)The ball hit the ground after 5 sec. B) H(t) =-16(x + 6)(x-1)The ball hit the ground after 6 sec. C) H(t) =-16(x + 3)(x + 2)The ball hit the ground after 3 sec. D) H(t) =-16(x + 1)(x-5)The ball hit the ground after 1 sec. Show Answer Correct Answer: A) H(t) =-16(x + 1)(x-5)The ball hit the ground after 5 sec. 43. Multiply.(3x-5)(4x$^{2}$-2x-3) A) 12x$^{3}$-20x$^{2}$-5x + 15. B) 12x$^{3}$-20x$^{2}$-6x + 15. C) 12x$^{3}$-26x$^{2}$-25x + 15. D) 12$^{}$x$^{}$$^{3}$-26x$^{2}$ + x + 15. Show Answer Correct Answer: D) 12$^{}$x$^{}$$^{3}$-26x$^{2}$ + x + 15. 44. Find the vertex of the quadratic function:y = 4x$^{2 }$+ 24x + 5 A) (-3, -76). B) (3, 5). C) (3, 113). D) (-3, -31). Show Answer Correct Answer: D) (-3, -31). 45. What is the vertex of y=x$^{2}$+4x+3? A) (-2, 1). B) (-2, -1). C) (2, 1). D) (0, 0). Show Answer Correct Answer: B) (-2, -1). 46. Factor:x$^{2}$ + 13x-48 A) (x + 3)(x-16). B) (x + 12)(x-4). C) (x + 16)(x-3). D) (x + 4)(x-12). Show Answer Correct Answer: C) (x + 16)(x-3). 47. Factor:x$^{2 }$-25 A) Prime. B) ( x + 5 ) ( x + 5 ). C) ( x-5 ) ( x-5 ). D) ( x + 5 ) ( x-5 ). Show Answer Correct Answer: D) ( x + 5 ) ( x-5 ). 48. Solve the following quadratic equation ..... x$^{2}$-2x-15 = 0 A) X =-15x = 1. B) X =-5x = 3. C) X = 5x =-3. D) X = 15x =-1. Show Answer Correct Answer: C) X = 5x =-3. 49. Find the solutions of the equation x$^{2}$-16 = 0 by extracting the square root. A) X = 4 and x =-4. B) X = 4. C) X =-4. D) No answer. Show Answer Correct Answer: A) X = 4 and x =-4. 50. Which equation has two real solutions? A) $x^2-4x-8=0$. B) $3x^2-4x+7=0$. C) $ x^2+8x+16 = 0 $. D) $x+12=0$. Show Answer Correct Answer: A) $x^2-4x-8=0$. 51. Factor completely $24x^2y-66xy^2+54x^2y^2$ A) $2xy\left(12x-33y+27xy\right)$. B) $6xy\left(4x-11y+9xy\right)$. C) $\left(4x^2+6y\right)\left(6x-9y^2\right)$. D) $6x^2y^2\left(4y-11x+9\right)$. Show Answer Correct Answer: B) $6xy\left(4x-11y+9xy\right)$. 52. True or false:The solution, root, x-intercept, and zero are all the same thing. A) True. B) False, because the solution and root are the same but the x-intercept and zero are different. C) False, because the x-intercept and root are the same but the zero and solution are different. D) False, they are all different. Show Answer Correct Answer: A) True. 53. What are the solutions to the quadratic x$^{2}$ + 11x + 24 = 0? A) X = 3 and 8. B) (x-8)(x-3). C) X =-3 and-8. D) (x + 8)(x + 3). Show Answer Correct Answer: C) X =-3 and-8. 54. What direction is the following equation opening?y=-3x$^{2}$-7x+8 A) Up. B) Left. C) Down. D) Right. Show Answer Correct Answer: C) Down. 55. In the equation ax$^{2}$+bx+c=0, the c term always the A) X$^{2 }$term. B) X term. C) Constant. D) None of the above. Show Answer Correct Answer: C) Constant. 56. Solve the following quadratic equation:5x$^{2}$=10x A) 2. B) 0, -2. C) 0, 2. D) -2. Show Answer Correct Answer: C) 0, 2. 57. Match the equation to its description.y = (x-2)$^{2}$ + 2 A) Right 2 and up 2. B) Left 2 and up 2. C) Right 2 and down 2. D) Left 2 and down 2. Show Answer Correct Answer: A) Right 2 and up 2. 58. Which of the following shows f(x) = x$^{2}$ + 12x-2 written in vertex form? A) F(x) = (x + 6)$^{2}$-34. B) F(x) = (x + 6)$^{2}$-38. C) F(x) = (x + 6)$^{2}$ + 34. D) F(x) = (x + 6)$^{2}$ + 142. Show Answer Correct Answer: B) F(x) = (x + 6)$^{2}$-38. 59. If the discriminant is positive, then the quadratic has: A) 1 Real Solution. B) Half a Solution. C) 2 Real Solutions. D) 2 Imaginary Solution. Show Answer Correct Answer: C) 2 Real Solutions. 60. What is the discriminant and how many solutions would this quadratic have?-8x$^{2}$ + 6x-4 = 0 A) -164, No Solutions. B) 92, 2 Solutions. C) 164, 2 Solutions. D) -92, No Solutions. Show Answer Correct Answer: D) -92, No Solutions. 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