This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Maths > Quadratic Equations > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 3 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the y-intercept?f(x) =-2x$^{2}$ + 4x-6 A) (0, 6). B) (0, -6). C) (6, 0). D) (-6, 0). Show Answer Correct Answer: B) (0, -6). 2. Factor:18a$^{2}$-15a A) A (smudging). B) 15 A (3 A-1). C) H (Sha-5). D) A (6 a-1). Show Answer Correct Answer: A) A (smudging). 3. Factor Completely:3x$^{2}$ + 18x +15Hint:Factor GCF first. A) 3($^{}$x$^{2}$ + 6x + 5). B) 3(x$^{}$ + 5)(x + 1). C) Prime. D) (x + 5)(x + 1). Show Answer Correct Answer: B) 3(x$^{}$ + 5)(x + 1). 4. If the discriminant is negative, then the quadratic has: A) Half a Solution. B) 2 Imaginary Solutions. C) 1 Real Solution. D) 2 Real Solutions. Show Answer Correct Answer: B) 2 Imaginary Solutions. 5. $f\left(x\right)=6\left(\frac{1}{3}\right)^x+2$ A) Y = 0. B) X = 0. C) X = 2. D) Y = 2. Show Answer Correct Answer: D) Y = 2. 6. What is the end behavior of the polynomial equation:2x$^{ 3 }$ + 3x-6x$^{ 4 }$-5x$^{ 2}$ A) Left:down, right:up. B) Left:up, right:up. C) Left:down, right:down. D) Left:up, right:down. Show Answer Correct Answer: C) Left:down, right:down. 7. In the equation f(x)=5(x+3)$^{2}$-10 what effect does the 5 do when compared to the parent function? A) Reflect over x-axis. B) Vertical shift up 5 units. C) Vertical shrink/compress by a factor of 5. D) Vertical stretch by a factor of 5. Show Answer Correct Answer: D) Vertical stretch by a factor of 5. 8. Determine the vertex of the parabola:y = 5x$^{2 }$-20x + 13 A) (-7, -2). B) (-2, -7). C) (5, -7). D) (2, -7). Show Answer Correct Answer: D) (2, -7). 9. What form is f(x)=(x-1)$^{2}$-5 A) Factored Form. B) Vertex Form. C) Standard Form. D) None of the above. Show Answer Correct Answer: B) Vertex Form. 10. How did we transform from the parent function?y = x$^{2}$ + 2 A) Vertical shift down. B) Horizontal shift up. C) Vertical shift up. D) Horizontal shift down. Show Answer Correct Answer: C) Vertical shift up. 11. What is the significance of the discriminant in a quadratic equation? A) It shows the symmetry of the quadratic graph. B) It determines the slope of the quadratic function. C) It indicates the number of solutions:if > 0, two solutions; if = 0, one solution; if < 0, no solutions. D) It indicates the maximum value of the quadratic function. Show Answer Correct Answer: C) It indicates the number of solutions:if > 0, two solutions; if = 0, one solution; if < 0, no solutions. 12. What is the vertex for the following quadratic?y = 5(x-2)$^{2}$ + 9 A) (5, 2). B) (-2, 5). C) (-2, 9). D) (5, 9). E) (2, 9). Show Answer Correct Answer: E) (2, 9). 13. What is the definition of an axis of symmetry? A) Place where the curve changes direction. B) Place where the curve crosses the y axis. C) The mirror line in a quadratic. D) Place where the curve crosses the x axis. Show Answer Correct Answer: C) The mirror line in a quadratic. 14. The discriminant is 24. How many solutions are there? A) 2. B) 1. C) 0. D) None of the above. Show Answer Correct Answer: A) 2. 15. Factor x$^{2}$-11x+24 A) (x-3)(x-8). B) (x+2)(x+12). C) (x-2)(x-12). D) (x+3)(x+8). Show Answer Correct Answer: A) (x-3)(x-8). 16. When factoring x$^{2}$-4x + 4 = 20, what goes in the blank?(x- ..... )$^{2}$ = 20 A) 8. B) 4. C) 2. D) 20. Show Answer Correct Answer: C) 2. 17. A lizard is jumping across the water in search of food. The equation h =-12t$^{2}$ + 6t models the lizard's height in feet above the water t seconds after he jumps. How long after jumping is he back on the water? A) 0.75 seconds. B) 1 second. C) 0.50 seconds. D) 0.1 seconds. E) 0.25 seconds. Show Answer Correct Answer: C) 0.50 seconds. 18. Find the Vertex:y = x$^{2}$ + 6x + 2 A) (-3, -7). B) (6, 2). C) No Real Solution. D) (1, 6). Show Answer Correct Answer: A) (-3, -7). 19. At what time would you reach 16 ft above the water if you jump of a cliff using the formula:h =-16t$^{2}$ + 8t + 24? A) 1/4. B) 1/2. C) 1. D) 8. Show Answer Correct Answer: C) 1. 20. To solve by completing the square, what needs to be moved in this equation?x$^{2}$ = 9-4x A) The-4x. B) The 9. C) The x$^{2}$. D) None of the above. Show Answer Correct Answer: A) The-4x. 21. Write the vertex form equation of a quadratic with the vertex (2, 4) and contains the point (3, 6) A) Y =-2 (x-4) $^{2} $+2. B) Y = 2 (x+4) $^{2} $-2. C) Y =-2 (x+2) $^{2} $-4. D) Y = 2 (x-2) $^{2} $+4. Show Answer Correct Answer: D) Y = 2 (x-2) $^{2} $+4. 22. If given the equation y = 3(x + 5)$^{2}$-4, what is the vertex of the parabola? A) (-15, -4). B) (15, -4). C) (5, -4). D) (-5, -4). Show Answer Correct Answer: D) (-5, -4). 23. Which of the following shows f(x) = x$^{2}$-8x + 1 written in vertex form? A) F(x) = (x-4)$^{2}$-17. B) F(x) = (x-4)$^{2}$ + 17. C) F(x) = (x-4)$^{2}$-15. D) F(x) = (x-4)$^{2}$ + 65. Show Answer Correct Answer: C) F(x) = (x-4)$^{2}$-15. 24. What is the sum of roots (SOR) and product of roots (POR) for equation of x$^{2}$ + 5x + 6 = 0? A) Sor = 5, by = 6. B) Sor =-5, by =-6. C) Sor = 5, by =-6. D) Sor =-5, by = 6. Show Answer Correct Answer: D) Sor =-5, by = 6. 25. Find the DISCRIMINANT of $3x^2-6x-11=0$ A) 168; Real, Unequal, Irrational. B) -96; Imaginary, Unequal. C) 138; Real, Unequal, Irrational. D) 0; Real and Equal. Show Answer Correct Answer: A) 168; Real, Unequal, Irrational. 26. If there was no GCF, and it had 2 parts ..... DOTSFactor:x$^{2}$-9 A) ( x-9) (x-9). B) (x + 3) (x + 3). C) (x + 3) (x-3). D) ( x + 9) (x-9). Show Answer Correct Answer: C) (x + 3) (x-3). 27. Solve using the square root property. $2x^2+5=19$ A) $x=\pm\sqrt{7}$. B) $x=\pm2\sqrt{3}$. C) $x=7$. D) $x=\pm\sqrt{12}$. Show Answer Correct Answer: A) $x=\pm\sqrt{7}$. 28. Which of the following equations matches standard form of a quadratic? A) Y = mx + b. B) Y = ax$^{2}$ + bx + c. C) Y = a(x-h)$^{2}$ + k. D) Ax + by = c. Show Answer Correct Answer: B) Y = ax$^{2}$ + bx + c. 29. What formula will find the x-coordinate (h) of the vertex (h, k) for standard form? A) $x=\frac{-b}{2a}$. B) $x=\left(\frac{b}{2}\right)^2$. C) All the above. D) None of the above. Show Answer Correct Answer: A) $x=\frac{-b}{2a}$. 30. Identify what A is in the given equationf(x)= 3x$^{2}$+5x+2 A) 5. B) X. C) 2. D) 3. Show Answer Correct Answer: D) 3. 31. When completing the square with x$^{2}$-4x + 5 = 20, what goes in the blank?(x- ..... )$^{2}$ + 1= 20 A) 20. B) 2. C) 4. D) 8. Show Answer Correct Answer: B) 2. 32. In a projectile motion problem, if the question is asking when an object will reach its maximum height, what part of the graph are you looking for? (Provided y is the height of the object and x is time) A) Something else. B) The y-coordinate of the vertex. C) The y-intercept. D) The x-coordinate of the vertex. E) The x-intercepts. Show Answer Correct Answer: D) The x-coordinate of the vertex. 33. If the discriminant equals 0, then the quadratic has: A) Half a Solution. B) No Real Solution. C) 2 Real Solutions. D) 1 Real Solution. Show Answer Correct Answer: D) 1 Real Solution. 34. Which is another way of correctly expressing (x-3)(x-3)? A) (x$^{2}$-3$^{2}$). B) (x-3)$^{2}$. C) (x$^{2}$-3). D) (x + 3)(x-3). Show Answer Correct Answer: B) (x-3)$^{2}$. 35. Which is the ONLY method that can be used to solve this equation?2x$^{2}$-7x + 2 = 0 A) Square Root Method. B) Complete the Square. C) Quadratic Formula. D) Factor Method. Show Answer Correct Answer: C) Quadratic Formula. 36. What number added would make a perfect square trinomial?x$^{2}$-8x + ..... A) 16. B) -4. C) -64. D) 12. Show Answer Correct Answer: A) 16. 37. What are the roots of $2x^2-18=0$ A) -3. B) 3. C) -3 and 3. D) -9 and 9. Show Answer Correct Answer: C) -3 and 3. 38. Solve using the quadratic formula.2x$^{2}$-9x-35 = 0 A) X = 7/2, x =-6. B) X =-5/2, x = 7. C) X =-3/7, x =6. D) X =-5/2, x =5. Show Answer Correct Answer: B) X =-5/2, x = 7. 39. George expands his deck by adding x ft to each side. The original deck was a 5' x 10'. The new deck's area will be 250 ft sq. How much is "x" the amount added to each side? A) X = 5. B) X = 10. C) X = 20. D) X = 15. Show Answer Correct Answer: A) X = 5. 40. A car bought for $ 13, 000 depreciates at 15% per year. Use an exponential function to find the value of the car after 5 years. A) $ 14, 004.69. B) $ 5, 768.17. C) $ 12, 053.81. D) $ 26, 147.64. Show Answer Correct Answer: B) $ 5, 768.17. 41. Solve by finding square roots and simplify completely:$x^2-16=0$ A) $x=\pm16$. B) $x=4$. C) No real solutions. D) $x=\pm4$. Show Answer Correct Answer: D) $x=\pm4$. 42. What effects does "k" have on the parent function? A) Vertical stretch/compression. B) Horizontal shifts (left/right). C) Vertical shifts (up/down). D) None of the above. Show Answer Correct Answer: C) Vertical shifts (up/down). 43. Solve using the Quadratic Formulax$^{2}$ + 4x-40 =-8 A) X = 8, -4. B) X =-4, 10. C) X =-8, 4. D) X =-10, -4. Show Answer Correct Answer: C) X =-8, 4. 44. A parabola is upside-down when a is: A) 0. B) Positive. C) Infinite. D) Negative. Show Answer Correct Answer: D) Negative. 45. What is the standard form of 9x-16 = 3x-x$^{2}$? A) X$^{2}$ +12x-16 = 0. B) -x$^{2}$ + 6x-16= 0. C) X$^{2}$ + 6x-16 = 0. D) 2x$^{2}$ + 9x-16 = 0. Show Answer Correct Answer: C) X$^{2}$ + 6x-16 = 0. 46. What does the discriminant determine? A) The y-intercept. B) The vertex. C) The number of solutions. D) Whether the graph goes up or down. Show Answer Correct Answer: C) The number of solutions. 47. Fill the blank spaces to complete the perfect square trinomialx$^{2}$-18x+ ..... =(x- ..... )$^{2}$ A) 9 and 3 respectively. B) 81 and 9 respectively. C) -9 and-3 respectively. D) -81 and-9 respectively. Show Answer Correct Answer: B) 81 and 9 respectively. 48. Solve using the Quadratic Formula. Round to the nearest hundredth if necessary.4x$^{2}$ + 4x = 3 A) X =-.5, -1.5. B) X =.5, -1.67. C) X =.5, -1.5. D) X =-.5, 1.67. Show Answer Correct Answer: C) X =.5, -1.5. 49. The length of a rectangle is 15 more than the width. The area is 350. Which equation best represents this situation if w represents the width of the rectangle? A) W$^{ 2 }$-350w +15 = 0. B) W$^{ 2 }$ + 350w +15 = 0. C) W$^{ 2 }$ + 15w +350 = 0. D) W$^{ 2 }$ + 15w-350 = 0. Show Answer Correct Answer: D) W$^{ 2 }$ + 15w-350 = 0. 50. What is the form of the function:$y=-(x+3)(x-8)$ A) Standard. B) Factored. C) Vertex. D) None of the above. Show Answer Correct Answer: B) Factored. 51. Find the volume of the rectangular prism with length ( x + 2) width ( x-4) and height ( 2x + 1). (HINT:V = lwh) A) X $^{2} $-8x. B) X$^{2}$-2x-8. C) 2$^{}$x$^{3 }$-8. D) 2x$^{3}$-3x$^{2}$-18x-8. Show Answer Correct Answer: D) 2x$^{3}$-3x$^{2}$-18x-8. 52. Identify the a, b, and c in this quadratic expression4x$^{2}$-10x + 3 A) A = 3, b = 4, c =-10. B) A = 4, b =-10, c = 3. C) A = 3, b =-10, c = 4. D) A =-10, b = 3, c = 4. Show Answer Correct Answer: B) A = 4, b =-10, c = 3. 53. Another name for the x-intercept A) Roots. B) Zeros. C) Solutions. D) All of the above. Show Answer Correct Answer: D) All of the above. 54. Find all the solutions for x whenx$^{2 }$+ 9x-36 = 0 A) (x + 12)(x-3). B) X = 12 and x =-3. C) X =-12 and x = 3. D) (x-9)(x-4). Show Answer Correct Answer: C) X =-12 and x = 3. 55. When an object is dropped the initial velocity is ..... A) Multiplied by 1/2. B) Positive. C) Zero. D) Negative. Show Answer Correct Answer: C) Zero. 56. What do we call the graph of a quadratic function? A) Linear. B) Sinusoidal. C) Cubic. D) Parabola. Show Answer Correct Answer: D) Parabola. 57. True or Falsef(x)= 2x + 54 is an example of a quadratic equation. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 58. Which equation has exactly one real solution? A) $ x^2+8x+16 = 0 $. B) $x^2-4x-8=0$. C) $ x^2-7x+12 = 0 $. D) $3x^2-4x+7=0$. Show Answer Correct Answer: A) $ x^2+8x+16 = 0 $. 59. What is another word that describes the zeroes of a quadratic function? A) Y-intercepts. B) Vertex. C) X-intercepts. D) Maximum. Show Answer Correct Answer: C) X-intercepts. 60. What is the degree of a Quadratic Equation? A) 4. B) 3. C) 2. D) 1. Show Answer Correct Answer: C) 2. ← 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 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