This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Maths > Quadratic Equations > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 7 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 7 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Simplify(p-8)$^{2 }$ Hint:(p-8)$^{2}$ = (p-8)(p-8) A) P $^{2}$-16p + 64. B) P $^{2}$-16p-64. C) P $^{2}$ + 16p + 64. D) P $^{2}$-16p-8. Show Answer Correct Answer: A) P $^{2}$-16p + 64. 2. The general form of a quadratic equation is A) $ax^2+bx+c=0$. B) $ax^{ }+bx+c=0$. C) $ax^2-bx+c=0$. D) None of the above. Show Answer Correct Answer: A) $ax^2+bx+c=0$. 3. Given the graph, determine a solution where y is at least 12 less than x A) (12, 25). B) (40, 20). C) (25, 20). D) (30, 15). Show Answer Correct Answer: D) (30, 15). 4. How can the square root of 44 be simplified in the context of the quadratic formula? A) Cannot be simplified. B) 4 * sqrt(11). C) 2 * sqrt(11). D) Sqrt(22). Show Answer Correct Answer: C) 2 * sqrt(11). 5. Find the factors of 4x$^{2}$-16x-9 A) (4x-1)(x+9). B) (2x+9)(2x-1). C) (x+1)(4x-9). D) (2x-9)(2x+1). Show Answer Correct Answer: D) (2x-9)(2x+1). 6. Solve using the quadratic formula:4x$^{2 }$+ 4x + 1 = 0 A) X = 1. B) X = 0. C) X =-2. D) X =-1/2. Show Answer Correct Answer: D) X =-1/2. 7. What is the first step to solving THIS equation by completing the square?a$^{2}$ + 10a + 21 = 0 A) Set the equation equal to zero. B) Divide 10 by 2 and add the result to both sides. C) Add a$^{2}$ and 10a together. D) Subtract the 21. Show Answer Correct Answer: D) Subtract the 21. 8. Which method is best for solving the equation 8x$^{2}$-13x+3=0? A) Square roots. B) Quadratic formula. C) Factoring. D) Graphing. Show Answer Correct Answer: B) Quadratic formula. 9. What is the value of C that would complete the square:$x^2-4x+C$ A) 4. B) 16. C) All the above. D) None of the above. Show Answer Correct Answer: A) 4. 10. Solve by finding square roots and simplify completely:$x^2+20=0$ A) No real solutions. B) $x=-2\sqrt{5}$. C) $x=-20$. D) $x=\pm2\sqrt{5}$. Show Answer Correct Answer: A) No real solutions. 11. Match the description to its equation.Vertical stretch by a factor of 3 A) Y = 1/3 (x) $^{2} $. B) Y = (3x)$^{2}$. C) Y = (1/3x)$^{2}$. D) Y = 3(x)$^{2}$. Show Answer Correct Answer: D) Y = 3(x)$^{2}$. 12. Where the parabola crosses the y-axis. A) Y-intercept. B) X-intercept. C) Axis of Symmetry. D) Domain. Show Answer Correct Answer: A) Y-intercept. 13. Solve the quadratic equation, $3p^2=-8p-5$ A) $\frac{-8\pm2\sqrt{31}}{6}$. B) $\frac{8\pm2\sqrt{31}}{6}$. C) $\frac{-4\pm\sqrt{31}}{3}$. D) $\frac{4\pm\sqrt{31}}{3}$. Show Answer Correct Answer: C) $\frac{-4\pm\sqrt{31}}{3}$. 14. $y=\frac{3}{2}x+3$ A) Slope:4 y-intercept:(0, 3/2). B) Slope:5 y-intercept:(0, 3). C) Slope:3/2 y-intercept:(0, 3). D) Slope:1/5 y-intercept:(0, 5). Show Answer Correct Answer: C) Slope:3/2 y-intercept:(0, 3). 15. A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h =-8t$^{2}$ + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps? A) 5 feet. B) 1 foot. C) 7 feet. D) 8 feet. E) 12 feet. Show Answer Correct Answer: D) 8 feet. 16. You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h =-4t$^{2}$ + 2t models her jump where h is her jump's height in feet t seconds after the mummy scares her. When did she reach her maximum height? A) 0.1 seconds. B) 0.50 seconds. C) 0.25 seconds. D) 2 seconds. E) 1 second. Show Answer Correct Answer: C) 0.25 seconds. 17. PV = nRTsolve for R A) R= pV/nT. B) R= (pV-n)/T. C) R= p/n + V/T. D) R= pV-nT. Show Answer Correct Answer: A) R= pV/nT. 18. Factor x$^{2}$-6x-40 A) (x-10)(x+4). B) (x+10)(x-4). C) (x-8)(x+5). D) (x+8)(x-5). Show Answer Correct Answer: A) (x-10)(x+4). 19. What are the zeros of the function $f\left(x\right)=x^2+8x+12$ A) 6 and 2. B) 8 and 12. C) 4 and 3. D) -6 and-2. Show Answer Correct Answer: D) -6 and-2. 20. Trisha is solving $x^2 + 16x = q$ A) Add 16 to both sides of the equation. B) Subtract q from both sides of the equation. C) Take the square root of q. D) Add 64 to both sides of the equation. Show Answer Correct Answer: D) Add 64 to both sides of the equation. 21. Which quadratic equation can be solved by using the square root method? A) $x^2=4x+64$. B) $4x^2+x=64$. C) $x^2=64$. D) $x=64$. Show Answer Correct Answer: C) $x^2=64$. 22. Convert the intercept form equation y = (x-1)(x-4) to standard form. A) $ y = x^2-5x+4 $. B) $y=x^2-6x+3$. C) $y=x^2-2x+5$. D) $y=x^2-3x+2$. Show Answer Correct Answer: A) $ y = x^2-5x+4 $. 23. $2x^2=8x+3$ $2x^2-8x-3=0$ $x=\frac{8\pm\sqrt{64-4\left(2\right)\left(-3\right)}}{4}$ $x=\frac{8\pm\sqrt{40}}{4}$ $x=\frac{8\pm2\sqrt{10}}{4}$ $x=\frac{4\pm\sqrt{10}}{2}$ A) Step 4. B) Suzanne made no errors. C) Step 2. D) Step 3. E) Step 5. Show Answer Correct Answer: D) Step 3. 24. Why is it important to write the Axis of Symmetry (AOS) asx =-1? A) Because my teacher is picky. B) Because x =-1 is an equation of a line and the AOS is a line. C) Because that is the solution to this quadratic equation. D) Because it helps me remember what axis to graph the horizontal line on. Show Answer Correct Answer: B) Because x =-1 is an equation of a line and the AOS is a line. 25. A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)=-t$^{2}$ + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down? A) 13 feet. B) 16 feet. C) 10 feet. D) 19 feet. Show Answer Correct Answer: D) 19 feet. 26. Choose the best method to solve this quadratic:(a) 3x$^{2 }$-21 = 3 A) Quadratic Formula. B) Completing the Square. C) A. Square Roots. D) Factoring. Show Answer Correct Answer: C) A. Square Roots. 27. What is the nature of roots of a quadratic equation with a discriminant of-4? A) Real, rational, & equal. B) Real, irrational, & unequal. C) Real, rational, & unequal. D) Nonreal. Show Answer Correct Answer: D) Nonreal. 28. What is the vertex for the following quadratic?y = 3(x-5)$^{2}$ + 7 A) (3, 7). B) (5, 7). C) (7, -5). D) (-5, 7). E) (3, -5). Show Answer Correct Answer: B) (5, 7). 29. Find the y-intercept for $y=\left(x-\frac{1}{2}\right)^2-\frac{49}{4}$ A) $\left(0, -12\right)$. B) $\left(0, 1\right)$. C) $\left(-12, 0\right)$. D) $\left(-1, 0\right)$. Show Answer Correct Answer: A) $\left(0, -12\right)$. 30. Solve this equation using factorization3v$^{2}$-4v-7=0 A) V= 7/3 or 1. B) V= 7/3 or-1. C) V=-1/3 or 10. D) V=-1/3 or 9. Show Answer Correct Answer: B) V= 7/3 or-1. 31. $ y = 4x ^ 2-8x + 9 $ A) X =-1. B) X = 2. C) X =-8. D) X = 1. Show Answer Correct Answer: D) X = 1. 32. Solve Using the method of your choice. x$^{2}$ + 4x-40 =-8 A) -4 & 10. B) -8 & 4. C) 8 &-4. D) -10 &-4. Show Answer Correct Answer: B) -8 & 4. 33. Solve the quadratic equation using the square root method. $\left(x+5\right)^2-11=38$ A) -11 and 49. B) -5 and 7. C) 2 and-12. D) 6 and-24. Show Answer Correct Answer: C) 2 and-12. 34. Which parabola would open down? A) F(x)=x$^{2}$. B) F(x)=-x$^{2}$+3x-6. C) F (x) = 2x $ ^ {2} $-5x + 70. D) F(x) = x$^{2}$-16. Show Answer Correct Answer: B) F(x)=-x$^{2}$+3x-6. 35. Solve 4m$^{2}$-100 = 0 A) M=5, -5. B) M=25, -25. C) M=96. D) M=-96. Show Answer Correct Answer: A) M=5, -5. 36. Factorize the quadratic expression $2x^2+7x+3$ A) (2x + 2)(x + 2). B) (2x + 1)(x + 3). C) (2x + 3)(x + 1). D) (2x-1)(x-3). Show Answer Correct Answer: B) (2x + 1)(x + 3). 37. Solve the following by taking square roots.9k$^{2}$ = 225 A) 4, -4. B) -5, 5. C) 25, -25. D) 4. Show Answer Correct Answer: B) -5, 5. 38. Solve the equation by factoring.x$^{2}$ + 13x + 40 = 0 A) -8, 5. B) 5, 8. C) -40, -1. D) -8, -5. Show Answer Correct Answer: D) -8, -5. 39. Solve:7x$^{2}$ + 14x = 0 A) X = 0 or x =-2. B) X = 0 or x = 2. C) X = 7 or x = 0. D) X = 7 or x =-2. Show Answer Correct Answer: A) X = 0 or x =-2. 40. Does the equation open or or down? Is the vertex a maximum or minimum?Y =-3x$^{2}$ +7x-2 A) Down, maximum. B) Up, minimum. C) Down, minimum. D) Up, maximum. Show Answer Correct Answer: A) Down, maximum. 41. Solve the following quadratic equation:Solve the following quadratic equation:$2x^2-5x+2=0$ A) $x=4$ $x=1$. B) $x=\frac{-1}{2}$ $x=-2$. C) $x=-1$ $x=-4$. D) . Show Answer Correct Answer: D) . 42. What should you do next? $(x+4)^2=25$ A) A. Distribute the square. B) B. FOIL. C) C. Square root both sides. D) None of the above. Show Answer Correct Answer: C) C. Square root both sides. 43. What are the values of a, b, and c in the equation, $p^2+p-12=0$ A) $a=0, \b=0, \c=-12$. B) $a=0, \\b=0, \c=-12$. C) $a=1, \b=1, \c=-12$. D) $a=1, \b=1, \c=12$. Show Answer Correct Answer: C) $a=1, \b=1, \c=-12$. 44. Solve by taking the square root:4x$^{2}$ = 100 A) -25, 25. B) -10, 10. C) 5. D) -5, 5. Show Answer Correct Answer: D) -5, 5. 45. What is the vertex of the graph of this quadratic function $y=x^2+4x+3$ A) (-2, -1). B) (-1, -2). C) (-2, 3). D) (3, -2). Show Answer Correct Answer: A) (-2, -1). 46. Solve the quadratic equation, $x^2+6x=-2$ A) $x=3\pm\sqrt{7}$. B) $x=-3\pm\sqrt{11}$. C) $x=-3\pm\sqrt{7}$. D) $x=\pm\sqrt{7}$. Show Answer Correct Answer: C) $x=-3\pm\sqrt{7}$. 47. Choose the best method to solve this quadratic:(a)-3 = 4x$^{2 }$+ 9x A) Square Roots. B) Completing the Square. C) A. Quadratic Formula. D) Factoring. Show Answer Correct Answer: C) A. Quadratic Formula. 48. What are the a, b, and c values for the quadratic formula? $4x^2-36=0$ A) A = 4, b =-36, c = 0. B) A = 4, b = 0, c = 36. C) A = 4, b = 0, c =-36. D) A = 4, b = 36, c = 0. Show Answer Correct Answer: C) A = 4, b = 0, c =-36. 49. Write the vertex form equation of a quadratic with the vertex (1, 2) and contains the point (2, -5) A) Y =-3 (x-1) $^{2} $+2. B) Y =-7 (x-1) $^{2} $+2. C) Y =-7 (x+1) $^{2} $-2. D) Y =-3 (x+1) $^{2} $-2. Show Answer Correct Answer: B) Y =-7 (x-1) $^{2} $+2. 50. Solve by completing the square:k$^{2}$-12k + 20 = 0 A) K = 10 and 2. B) K =-6 and-6. C) K = 22 and-10. D) K =-2 and 6. Show Answer Correct Answer: A) K = 10 and 2. 51. What's the axis of symmetry of y = 3x$^{2 }$-6x + 4 A) X=-6. B) X=-1. C) X=2. D) X=1. Show Answer Correct Answer: D) X=1. 52. Mrs. Johnson asked her students to simplify $\sqrt{216}$ $6\sqrt{6}$ $3\sqrt{24}$ A) Lauryn. B) Keenan. C) Both students. D) Neither student. Show Answer Correct Answer: A) Lauryn. 53. Which statement is true about the following quadratic? $4x^2+5x+3$ A) It has no real solutions because the discriminant is negative. B) It has one solution because the discriminant is zero. C) It has two solutions becuase the discriminant is positive. D) It has no real solutions because the discriminant is positive. Show Answer Correct Answer: A) It has no real solutions because the discriminant is negative. 54. The product of two consecutive integers, n and n+1, is 42. What is the positive integer that satisfies the situation? A) 2. B) 6. C) 21. D) 7. Show Answer Correct Answer: B) 6. 55. What is the first question you ask yourself when factoring a polynomial? A) Is there a GCF?. B) Why do I have to learn this?!?!?!. C) What strategy should I use?. D) How many terms does it have?. Show Answer Correct Answer: A) Is there a GCF?. 56. Solve using any method.2x$^{2}$ + 4x-16 = 0 A) -16. B) -2, 4. C) -4. D) -4, 2. Show Answer Correct Answer: D) -4, 2. 57. Solve $\left(3w+4\right)\left(2w-7\right)=0$ A) $\left\{-\frac{4}{3}, \\frac{7}{2}\right\}$. B) $\left\{\frac{3}{4}, \-\frac{2}{7}\right\}$. C) $\left\{\frac{4}{3}, \-\frac{7}{2}\right\}$. D) $\left\{-\frac{3}{4}, \frac{2}{7}\right\}$. Show Answer Correct Answer: A) $\left\{-\frac{4}{3}, \\frac{7}{2}\right\}$. 58. What are the solutions of 2x$^{2}$-6x + 4 = 0? Use the quadratic formula. A) 5/2, 1/2. B) -1, -2. C) 2, 1. D) 4, 2. Show Answer Correct Answer: C) 2, 1. 59. Given:1/2(x + 4)-5, the equation of the axis of symmetry is A) X =-5. B) X = 4. C) Y = 4. D) X =-4. Show Answer Correct Answer: D) X =-4. 60. Solve by factoring:4x$^{2}$ + 11x-3 = 0 A) X =-3/4 and x =-1. B) X = 4 and x = 3. C) X = 1/4 and x =-3. D) X =-1/4 and x = 3. Show Answer Correct Answer: C) X = 1/4 and x =-3. ← 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 4Class 10 Maths Chapter 4 Quadratic Equations Quiz 5Class 10 Maths Chapter 4 Quadratic Equations Quiz 6Class 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