This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 19 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 19 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which of the fallowing is the discriminant of $x^2+7x+12=0?$ A) D=0. B) D=1. C) D=4. D) D=16. Show Answer Correct Answer: B) D=1. 2. If we are trying to find out when an object hits the GROUND, what should we put in for "h" ? A) 0. B) 1. C) 2. D) 3. Show Answer Correct Answer: A) 0. 3. Which of the following describes the transformations done to the quadratic parent function of f(x) = x$^{2 }$ to obtain g(x) = 2x$^{2}$ + 4? A) Vertical Stretch by a factor of 2 and vertical shift up 4 units. B) Vertical Shrink/Compress by a factor 2 and vertical shift up 4. C) Vertical Stretch by a factor of 2 and horizontal shift left 4 units. D) Vertical Shrink/Compress by a factor of 2 and horizontal shift right 4 units. Show Answer Correct Answer: A) Vertical Stretch by a factor of 2 and vertical shift up 4 units. 4. What does the discriminant tell us about a quadratic function? A) The maximum or minimum value. B) The y-intercept. C) The number and type of solutions. D) The axis of symmetry. Show Answer Correct Answer: C) The number and type of solutions. 5. Convert the vertex form equation $y=(x-3)^2+4$ A) $y=x^2-6x+13$. B) $y=x^2-3x+9$. C) $y=x^2-9x+13$. D) $y=x^2-3x+4$. Show Answer Correct Answer: A) $y=x^2-6x+13$. 6. How did the equation shift from the parent function? y=3x$^{2}$-2 A) Vertical shrink and down 2. B) Up 2. C) Down 2. D) Vertical stretch and down 2. Show Answer Correct Answer: D) Vertical stretch and down 2. 7. If 2(x+7)(x-3)=0, what are your solutions? A) X=\{-7, 2, 3\}. B) X=\{0\}. C) X=\{2\}. D) X=\{-7, 3\}. Show Answer Correct Answer: D) X=\{-7, 3\}. 8. If 3+2i is one solution of a quadratic equation, then the other solution of this quadratic equation is A) 2. B) P+any. C) 1/3-1/2i. D) Go. Show Answer Correct Answer: D) Go. 9. Solve the equation by factoring. $x^2-3x-54 = 0$ A) X = 9, x =-6. B) X = 6, x =-9. C) X = 9, x = 6. D) X =-9, x =-6. Show Answer Correct Answer: A) X = 9, x =-6. 10. Solve by completing the square. x$^{2}$-10x-11= 0 A) X =-1 and 11. B) X = 1 and-11. C) X =-10 and 11. D) X =-5 and 25. Show Answer Correct Answer: A) X =-1 and 11. 11. Convert x$^{2 }$-9x + 20 to factored form and solve. A) (x-10)(x+2); x =-2, 10. B) (x+4)(x+5); x =-5, -4. C) (x-4)(x-5); x = 4, 5. D) Not factorable. Show Answer Correct Answer: C) (x-4)(x-5); x = 4, 5. 12. Identify the 'b' value in the equation:-8x + 16x$^{2}$-24 = 0 A) 16. B) -8. C) 8. D) -24. Show Answer Correct Answer: B) -8. 13. Rationalize the following:$\frac{\sqrt{2}}{\sqrt{3}+\sqrt{5}}$ A) $\frac{\sqrt{6}-\sqrt{10}}{8}$. B) $\frac{\sqrt{6}-\sqrt{10}}{-2}$. C) $\frac{\sqrt{6}+\sqrt{10}}{8}$. D) $\frac{2\sqrt{3}+2\sqrt{5}}{-2}$. Show Answer Correct Answer: B) $\frac{\sqrt{6}-\sqrt{10}}{-2}$. 14. $\sqrt{96}$ A) $16\sqrt{6}$. B) $2\sqrt{6}$. C) $4\sqrt{6}$. D) $\sqrt{2}$. Show Answer Correct Answer: C) $4\sqrt{6}$. 15. In the equation ax$^{2}$+bx+c=0, the x term always corresponds with A) A. B) B. C) C. D) None of the above. Show Answer Correct Answer: B) B. 16. What are the values of a, b, and c in the quadratic equation 3x$^{2 }$-10 =-4x A) A = 3x$^{2}$ b =-10 c =-4x. B) A = 3 b =-10 c =-4. C) A = 3 b =-4 c =-10. D) A = 3 b = 4 c =-10. Show Answer Correct Answer: D) A = 3 b = 4 c =-10. 17. What is the axis of symmetry?f(x) = x$^{2 }$$^{}$-8x + 15. A) X =-4. B) X = 4. C) Y = 4. D) Y =-4. Show Answer Correct Answer: B) X = 4. 18. Which of the following is NOT an example of quadratic equations? A) 2x$^{2}$-3 = 2x. B) -8x-15 =-x $^{2} $. C) X + 3y = 45. D) X $^{2} $ + 7x + 10 = 0. Show Answer Correct Answer: C) X + 3y = 45. 19. Determine the value of the discriminant and name the number of solutions for the following:x$^{2}$ + 2x-63 = 0Remember:b$^{2}$-4ac A) 256-two solutions. B) -256-no solution. C) 137-two solutions. D) 0-one solution. Show Answer Correct Answer: A) 256-two solutions. 20. Solve using the Quadratic Formula2x$^{2}$ + 7x-15 = 0 A) X =-1.5, 5. B) No Solution. C) X =-5, 1.5. D) X = 0.7, 5. Show Answer Correct Answer: C) X =-5, 1.5. 21. Say 'TRUE' or 'FALSE'Every Quadratic equation has exactly one root A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 22. What is the axis of symmetry?y = 3x$^{2 }$-6x + 4 A) X=1. B) X=-6. C) X=2. D) X=-1. Show Answer Correct Answer: A) X=1. 23. Solve the quadratic equation using the square root method. $\frac{1}{2}x^2+3=75$ A) 5 and-5. B) 12 and-12. C) 25 and-25. D) 144 and-144. Show Answer Correct Answer: B) 12 and-12. 24. What is the maximum height for that same projectile? (time of maximum height was.625) h(t) =-16t$^{2}$ + 20t + 6 A) 8.5 feet. B) 12.25 feet. C) 24.75 feet. D) 6 feet. Show Answer Correct Answer: B) 12.25 feet. 25. A function has a discriminant of 4.How many x-intercepts does it have? A) 0. B) 1. C) 2. D) 4. Show Answer Correct Answer: C) 2. ← PreviousNext →Related 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 8Class 10 Maths Chapter 4 Quadratic Equations Quiz 9Class 10 Maths Chapter 4 Quadratic Equations Quiz 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books