This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Maths > Quadratic Equations > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 4 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Factor $196w^2-81z^2$ A) $\left(14w+9z\right)\left(14w+9z\right)$. B) $\left(14w-9z\right)\left(14w-9z\right)$. C) $\left(14w+9z\right)\left(14w-9z\right)$. D) $prime$. Show Answer Correct Answer: C) $\left(14w+9z\right)\left(14w-9z\right)$. 2. Find the x-intercepts of the quadratic equation y = (x-1)(x-5). A) X = 4, x = 8. B) X = 3, x = 7. C) X = 2, x = 6. D) X = 1, x = 5. Show Answer Correct Answer: D) X = 1, x = 5. 3. Which of the following is NOT a quadratic equation? A) $\frac{1}{x^2}+5=0$. B) $x^2-2x+7=3x^2+5$. C) $x\left(x-3\right)-4=0$. D) $\left(x-6\right)\left(x-2\right)=10$. Show Answer Correct Answer: A) $\frac{1}{x^2}+5=0$. 4. A ball is thrown into the air. The distance, in feet, between the ball and the ground x seconds after it is thrown is given by $f\left(x\right)=-16x^2+32x+3$ A) 1 second. B) 3.5 seconds. C) -0.09 seconds. D) 2.09 seconds. Show Answer Correct Answer: D) 2.09 seconds. 5. How do you find any x-intercept? A) Substitute 0 for x. B) Substitute 0 for y. C) All the above. D) None of the above. Show Answer Correct Answer: B) Substitute 0 for y. 6. Which transformation maps the graph of f(x) = x$^{2}$ to the graph of g(x) = (x + 4)$^{2}$? A) Vertical shift down 4 units. B) Horizontal shift left 4 units. C) Vertical shift up 4 units. D) Horizontal shift right 4 units. Show Answer Correct Answer: B) Horizontal shift left 4 units. 7. Identify the a, b, and c-values of the following quadratic equation:$3x^2+2x-1=0$ A) $a=3, \b=2, \c=-1$. B) $a=3x^2, \b=-2x, \c=1$. C) $a=3, \b=-2, \c=1$. D) $a=3x^2, \b=2x, \c=1$. Show Answer Correct Answer: A) $a=3, \b=2, \c=-1$. 8. Convert the vertex form equation $y=(x+2)^2-1$ A) $y=x^2+4x+3$. B) $y=x^2-4x+3$. C) $y=x^2+4x-3$. D) $y=x^2-4x-3$. Show Answer Correct Answer: A) $y=x^2+4x+3$. 9. What should you do first if solving this equation using the FACTORING method?x$^{2}$ + 6x-13 = 3 A) Get factored form. B) Write down:a=1, b=6, c=-13. C) Make it equal 0 by subtracting 3 on each side. D) Type it all in a calculator. Show Answer Correct Answer: C) Make it equal 0 by subtracting 3 on each side. 10. Solve using square roots.5b$^{2}$-4 = 41 A) No solution. B) B = 8, b =-8. C) B = 9, b =-9. D) B = 3, b =-3. Show Answer Correct Answer: D) B = 3, b =-3. 11. In the quadratic formula, if b$^{2}$-4ac>0, then the quadratic equation has A) Two imaginary solutions. B) Two different real solutions. C) Two equal real solutions. D) None of these. Show Answer Correct Answer: B) Two different real solutions. 12. Solve by factoringx$^{2}$ + 13x + 12 = 0 A) X =-13, -1. B) X =-12, -1. C) X = 12, 1. D) X = 13, 1. Show Answer Correct Answer: B) X =-12, -1. 13. Which of the following is a quadratic equation? A) $ 3s^2+s-4 $. B) $ X-1 = x $. C) $ 5^2+choeja $. D) $m^2-8m-1=0$. Show Answer Correct Answer: D) $m^2-8m-1=0$. 14. Decide on the best method:3a$^{2}$ + 13a =-4 A) Square Root Method. B) Complete the Square. C) Quadratic Formula. D) Factor Method. Show Answer Correct Answer: C) Quadratic Formula. 15. What is the value of y when solving this system?-2x + 8y = 13-2x + 4y = 17 A) -2. B) 1. C) -1. D) 2. Show Answer Correct Answer: C) -1. 16. A parabola has a vertex at (-3, 2). Where is the axis of symmetry? A) Y =-2. B) X = 3. C) X =-3. D) Y = 2. Show Answer Correct Answer: C) X =-3. 17. Solve using the Quadratic Formula:2x$^{2}$ + 2x-12 = 0 A) X =-2, -3. B) X = 2, 3. C) X =-2, 3. D) X = 2, -3. Show Answer Correct Answer: D) X = 2, -3. 18. Identify the 'c' value:y = 16x$^{2}$-8x-24 A) -24. B) -8. C) 24. D) 16. Show Answer Correct Answer: A) -24. 19. The solutions of the quadratic equation x$^{2}$-6x+8=0 are A) X =-2 or x =-4. B) X = 8 or x = 1. C) X = 8 or x =-1. D) X = 2 or x = 4. Show Answer Correct Answer: D) X = 2 or x = 4. 20. What is the form of the function:$y=2(x+3)^2-10$ A) Vertex. B) Standard. C) Factored. D) None of the above. Show Answer Correct Answer: A) Vertex. 21. Solve 8n$^{2}$ + 10n-3 = 0 A) N = $^{1}$/$_{4}$, $^{-3}$/$_{2}$. B) N = $^{4}$/$_{5}$, -2. C) N = $^{-1}$/$_{8}$, $^{10}$/$_{3}$. D) N = 2, -12. Show Answer Correct Answer: A) N = $^{1}$/$_{4}$, $^{-3}$/$_{2}$. 22. Rewrite this quadratic in factored form:x$^{2}$-15 = 1 A) (x-4)(x + 4). B) (x-8)(x + 2). C) (x-4)(x-4). D) (x + 4) (x + 4). Show Answer Correct Answer: A) (x-4)(x + 4). 23. Which of the following is in the standard form? A) Y$^{2}$-10 =-3y. B) J $^{a} $-neighborhood + 12 = 0. C) X$^{3}$-x$^{2 }$+ 3x-8 = 0. D) X$^{2}$ +9x = 34. Show Answer Correct Answer: B) J $^{a} $-neighborhood + 12 = 0. 24. What is the first step in using the quadratic formula? A) Simplify the equation. B) Ensure the equation is in standard form. C) Identify the values of a, b, and c. D) Memorize the formula. Show Answer Correct Answer: B) Ensure the equation is in standard form. 25. WHAT SHOULD YOU DO NEXT? $2x^2+8=10$ A) A. Divide both sides by 2. B) B. Isolate $2x^2$. C) C. Square root both sides. D) None of the above. Show Answer Correct Answer: B) B. Isolate $2x^2$. 26. Which of the following in NOT a perfect square? A) 81. B) 49. C) 144. D) 111. Show Answer Correct Answer: D) 111. 27. Find the Vertex:f(x) = x$^{2}$ + 10x + 21 A) No Real Solution. B) (10, 21). C) (-5, -4). D) (1, 10). Show Answer Correct Answer: C) (-5, -4). 28. Identify a of the following quadratic function:y = x$^{ 2 }$+ 16x + 64 A) 1. B) 16. C) 2. D) 64. Show Answer Correct Answer: A) 1. 29. What is step one in using the quadratic formula to solve a problem? A) Find the discriminant ( $b^2-4ac$. B) Identify A, B, and C. C) Simplify the radical ( $\sqrt{b^2-4ac}$. D) Plug A, B, and C into the formula. Show Answer Correct Answer: B) Identify A, B, and C. 30. What are the solutions to this quadratic equation? $-2x^2-3x+7$ A) $x=-3, \\x=7$. B) $x=\frac{3+\sqrt{17}}{-4}, \\x=\frac{3-\sqrt{17}}{-4}$. C) No Real Solutions. D) $x=\frac{-3+\sqrt{1}}{4}, \\x=\frac{-3-\sqrt{1}}{4}$. Show Answer Correct Answer: B) $x=\frac{3+\sqrt{17}}{-4}, \\x=\frac{3-\sqrt{17}}{-4}$. 31. How did we transform from y=x$^{2?}$y =-3x$^{2}$$^{}$ A) Reflection and vertical shift down. B) Reflection and vertical stretch. C) Horizontal stretch. D) Reflection and vertical compression. Show Answer Correct Answer: B) Reflection and vertical stretch. 32. What should you do first in solving this equation?x$^{2}$ + 6x-13 = 3 A) Get factored form. B) Write down:a=1, b=6, c=-13. C) Make it equal 0 by subtracting 3 on each side. D) Type it all in a calculator. Show Answer Correct Answer: C) Make it equal 0 by subtracting 3 on each side. 33. What are the roots / solutions of the quadratic equation 3x$^{2}$ = 300? A) X = 10. B) X = + 9. C) X = + 10. D) X = 9. Show Answer Correct Answer: C) X = + 10. 34. Solvex$^{2}$ + 13x + 12 = 0 A) X = 12, 1. B) X =-12, -1. C) X = 13, 1. D) X =-13, -1. Show Answer Correct Answer: B) X =-12, -1. 35. Find the discriminant:3k$^{2}$ + k-1 = 0 A) -11. B) -20. C) 13. D) 36. Show Answer Correct Answer: C) 13. 36. What was the maximum height of Ben's phone, given the correct answer to the last question was 1.09 seconds. (Round to 2 decimal places)The equation was h(t) =-16t$^{2}$ +35t + 22 A) 35.16 feet. B) 21.91 feet. C) 79.16 feet. D) 41.14 feet. Show Answer Correct Answer: D) 41.14 feet. 37. Solve:x$^{2}$-5x-24 = 0 A) X =-3 or x =-8. B) X =-3 or x = 8. C) X = 3 or x =-8. D) X = 3 or x = 8. Show Answer Correct Answer: B) X =-3 or x = 8. 38. A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h =-6t$^{2 }$+ 6t where h is the frog's height at any given time, t. How many seconds until the frog is back on the ground? A) 2 seconds. B) 0.5 seconds. C) 3 seconds. D) 1.5 seconds. E) 1 second. Show Answer Correct Answer: E) 1 second. 39. Classify equation2x$^{2}$ +8x = 4-16-2x A) Incomplete pure. B) Complete. C) Pure. D) Incomplete mixed. Show Answer Correct Answer: B) Complete. 40. Determine the values of a, b, and c for the quadratic equation:5x$^{2 }$+ x-18 =-9x + 3x$^{2}$ A) A=2 b=-8 c=18. B) A=-2 b=10 c=-18. C) A=2 b=10 c=-18. D) A=2 b=11 c=-18. Show Answer Correct Answer: C) A=2 b=10 c=-18. 41. What is the factored form of the expression? $x^2+x-6$ A) $\left(x-2\right)\left(x-3\right)$. B) $\left(x-3\right)\left(x+2\right)$. C) $\left(x+1\right)\left(x-6\right)$. D) $\left(x-2\right)\left(x+3\right)$. Show Answer Correct Answer: D) $\left(x-2\right)\left(x+3\right)$. 42. Find the minimum point of the graph x$^{2}$ + 12x + 4 A) (-12, -32 ). B) (-6, 32 ). C) (-6, -32 ). D) ( 12, -14 ). Show Answer Correct Answer: C) (-6, -32 ). 43. Find the x-intercepts of the quadratic equation y = (x-2)(x+3). A) X = 5 and x =-1. B) X = 0 and x = 1. C) X = 4 and x =-2. D) X = 2 and x =-3. Show Answer Correct Answer: D) X = 2 and x =-3. 44. What is another word that describes the zeros of a function? A) Y-intercepts. B) Maximum. C) Vertex. D) X-intercepts. Show Answer Correct Answer: D) X-intercepts. 45. Solve a$^{2}$ + 2a-24 = 0 A) A = 6, -4. B) A = 8, -3. C) A = 12, -2. D) A =-6, 4. Show Answer Correct Answer: D) A =-6, 4. 46. Make sure that the equation is written in standard form before identifying the value of a b and c A) TRUE. B) TRUE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 47. What form in this quadratic function in? f(x)=x$^{2}$-5x+1 A) Standard Form. B) Vertex Form. C) Factored Form. D) None of the above. Show Answer Correct Answer: A) Standard Form. 48. Ax$^{2}$+bx+c=0 is the standard form of a quadratic equation. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 49. Find the Vertex:Remember-b/2ay = x$^{2}$ + 6x + 2 A) (-3, -7). B) (1, 6). C) (6, 2). D) None of the above. Show Answer Correct Answer: A) (-3, -7). 50. Convert to standard formy = 2(x-7)$^{2}$-3 A) J = X $^{a} $-Kid + 92. B) J = X $^{a} $-Kid + 95. C) Y = 2x$^{2}$-14x + 46. D) Y = 2x$^{2}$-14x + 95. Show Answer Correct Answer: B) J = X $^{a} $-Kid + 95. 51. Solve the quadratic equation using the square root method. $6x^2=54$ A) 3 and-3. B) 6 and-6. C) 9 and-9. D) 6 and 54. Show Answer Correct Answer: A) 3 and-3. 52. ..... and never make the "x$^{2}$" negativeSolve:x$^{2}$ = 9x-20 A) X =-4 and x =-5. B) X = 20 and x =-9. C) X = 4 and x = 5. D) X =-4 and x = 5. Show Answer Correct Answer: C) X = 4 and x = 5. 53. Solve the following quadratic equation:4x$^{2}$-9=0 A) 9/4. B) 4/9. C) 2/3, -2/3. D) 3/2, -3/2. Show Answer Correct Answer: D) 3/2, -3/2. 54. Solve:x$^{2}$-6x+8=0 A) X = 8 or x = 1. B) X = 2 or x = 4. C) X =-2 or x =-4. D) X = 8 or x =-1. Show Answer Correct Answer: B) X = 2 or x = 4. 55. How would you find the vertex?y =-2x$^{2}$-4x-1 A) Plug in the value of the Axis of Symmetry (AOS) into the quadratic equation and solve for y. B) Plug in the value of the Axis of Symmetry (AOS) into the quadratic equation and solve for x. C) Remember that the y-intercept is found by plugging in zero for x and solving for y. D) Use a calculator to graph the equation and hit "menu", "6", "1" to find the x-intercepts. Show Answer Correct Answer: A) Plug in the value of the Axis of Symmetry (AOS) into the quadratic equation and solve for y. 56. Solve the following equation by completing the square:n$^{2}$ = 18n + 40 A) {11 and-11}. B) {16 and 2}. C) {20 and-2}. D) {10 and-4}. Show Answer Correct Answer: C) {20 and-2}. 57. The U-Shaped graph of a quadratic function is called a? A) Marabola. B) X-value. C) Parabola. D) Height. Show Answer Correct Answer: C) Parabola. 58. What is the "c" value in the equation 4x$^{2}$ = 76? A) 0. B) 4. C) -76. D) 76. Show Answer Correct Answer: C) -76. 59. How many real number solutions does7x$^{2}$ + 12x-21 = 0 have? A) One. B) Two. C) Three or more. D) No real number solutions. Show Answer Correct Answer: B) Two. 60. What is a method of checking your work when factoring? A) Division. B) FOIL. C) Assume you're correct. D) Asking the teacher every time. Show Answer Correct Answer: B) FOIL. ← 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 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