This quiz works best with JavaScript enabled. Home > Class 10 > 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 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which equation has two real solutions? A) $3x^2-4x+7=0$. B) $x^2-4x-8=0$. C) $ x^2+8x+16 = 0 $. D) $x+12=0$. Show Answer Correct Answer: B) $x^2-4x-8=0$. 2. Factor completely $24x^2y-66xy^2+54x^2y^2$ A) $2xy\left(12x-33y+27xy\right)$. B) $6x^2y^2\left(4y-11x+9\right)$. C) $\left(4x^2+6y\right)\left(6x-9y^2\right)$. D) $6xy\left(4x-11y+9xy\right)$. Show Answer Correct Answer: D) $6xy\left(4x-11y+9xy\right)$. 3. 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. 4. 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. 5. What direction is the following equation opening?y=-3x$^{2}$-7x+8 A) Up. B) Down. C) Left. D) Right. Show Answer Correct Answer: B) Down. 6. 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. 7. Solve the following quadratic equation:5x$^{2}$=10x A) -2. B) 2. C) 0, 2. D) 0, -2. Show Answer Correct Answer: C) 0, 2. 8. 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. 9. Which of the following shows f(x) = x$^{2}$ + 12x-2 written in vertex form? A) F(x) = (x + 6)$^{2}$ + 142. B) F(x) = (x + 6)$^{2}$-34. C) F(x) = (x + 6)$^{2}$-38. D) F(x) = (x + 6)$^{2}$ + 34. Show Answer Correct Answer: C) F(x) = (x + 6)$^{2}$-38. 10. If the discriminant is positive, then the quadratic has: A) 1 Real Solution. B) 2 Real Solutions. C) Half a Solution. D) 2 Imaginary Solution. Show Answer Correct Answer: B) 2 Real Solutions. 11. What is the discriminant and how many solutions would this quadratic have?-8x$^{2}$ + 6x-4 = 0 A) -92, No Solutions. B) 164, 2 Solutions. C) -164, No Solutions. D) 92, 2 Solutions. Show Answer Correct Answer: A) -92, No Solutions. 12. What is the equation of a line that passes through the points (8, 2) and (-7, 2)? A) Y = 2x-8. B) X = 2. C) Y = 2. D) Y = 2x-7. Show Answer Correct Answer: C) Y = 2. 13. $\sqrt{50}$ A) $5\sqrt{2}$. B) $\sqrt{5}$. C) $2\sqrt{5}$. D) $25\sqrt{2}$. Show Answer Correct Answer: A) $5\sqrt{2}$. 14. What is the square root of 196? A) + 11. B) + 12. C) + 13. D) + 14. Show Answer Correct Answer: D) + 14. 15. What is the effect of changing the 'b' value in a quadratic equation? A) It affects the position of the vertex and the axis of symmetry. B) It changes the direction of the parabola. C) It alters the width of the parabola. D) It determines the y-intercept of the equation. Show Answer Correct Answer: A) It affects the position of the vertex and the axis of symmetry. 16. Convert to Standard form y =-7(x-1)$^{2}$+2 A) Y = 7x $^{2} $-5x+14. B) Y =-7x$^{2}$-5x+14. C) Y =-7x$^{2}$+14x-5. D) Y = 7x$^{2}$+14x-5. Show Answer Correct Answer: C) Y =-7x$^{2}$+14x-5. 17. What is the standard form of a quadratic equation? A) Y = x$^{2 }$+ bx + c. B) Y = ax$^{2 }$+ bx + c. C) Y = mx + b. D) Ax + By = C. Show Answer Correct Answer: B) Y = ax$^{2 }$+ bx + c. 18. What is the degree of this polynomial? 7x$_{}$$^{}$-4x$^{5}$ + 3x$^{4}$-6x$^{2}$ A) 1. B) 2. C) 4. D) 5. Show Answer Correct Answer: D) 5. 19. Solve the equation:5x$^{2}$-35x + 60 = 0 A) X = 3, -4. B) X =-3, 4. C) X = 3, 4. D) X =-3, -4. Show Answer Correct Answer: C) X = 3, 4. 20. Solve 2x$^{2}$+ 7x =-6 A) X= 3/2 and x = 2. B) X =-3/2 and x =-2. C) X = 6 and x = 7. D) X =-6 and x =-7. Show Answer Correct Answer: B) X =-3/2 and x =-2. 21. The quadratic equation can be used to solve quadratic equations that cannot be factored. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 22. Since this quadratic equation is in standard form, what should you do first when asked to graph it?y =-2x$^{2}$-4x-1 A) Find the vertex. B) Find the Axis of Symmetry (AOS). C) Make a table of values. D) Find the point symmetric to the y-intercept. Show Answer Correct Answer: B) Find the Axis of Symmetry (AOS). 23. One solution of the quadratic equation x$^{2}$-7x+12=0 is A) X=3. B) X=2. C) X=-3. D) X=-2. Show Answer Correct Answer: A) X=3. 24. Name the form of the quadratic equation:y =-3(x-5)$^{2}$+7 A) Standard. B) Vertex. C) Factored. D) None of These. Show Answer Correct Answer: B) Vertex. 25. $x^2+4x+3=0$ A) X = 1 and-3. B) X =-1 and-3. C) X =-1 and 3. D) X = 1 and 3. Show Answer Correct Answer: B) X =-1 and-3. ← 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 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 10Class 10 Maths Chapter 4 Quadratic Equations Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books