This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 18 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 18 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Factorize the quadratic expression $2x^2+7x+3$ A) (2x + 1)(x + 3). B) (2x-1)(x-3). C) (2x + 2)(x + 2). D) (2x + 3)(x + 1). Show Answer Correct Answer: A) (2x + 1)(x + 3). 2. Solve the following by taking square roots.9k$^{2}$ = 225 A) 4. B) 4, -4. C) 25, -25. D) -5, 5. Show Answer Correct Answer: D) -5, 5. 3. Solve the equation by factoring.x$^{2}$ + 13x + 40 = 0 A) -8, 5. B) -40, -1. C) 5, 8. D) -8, -5. Show Answer Correct Answer: D) -8, -5. 4. Solve:7x$^{2}$ + 14x = 0 A) X = 0 or x =-2. B) X = 0 or x = 2. C) X = 7 or x =-2. D) X = 7 or x = 0. Show Answer Correct Answer: A) X = 0 or x =-2. 5. Does the equation open or or down? Is the vertex a maximum or minimum?Y =-3x$^{2}$ +7x-2 A) Up, minimum. B) Down, maximum. C) Up, maximum. D) Down, minimum. Show Answer Correct Answer: B) Down, maximum. 6. Solve the following quadratic equation:Solve the following quadratic equation:$2x^2-5x+2=0$ A) $x=\frac{-1}{2}$ $x=-2$. B) $x=-1$ $x=-4$. C) $x=4$ $x=1$. D) . Show Answer Correct Answer: D) . 7. 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. 8. What are the values of a, b, and c in the equation, $p^2+p-12=0$ A) $a=1, \b=1, \c=-12$. B) $a=1, \b=1, \c=12$. C) $a=0, \\b=0, \c=-12$. D) $a=0, \b=0, \c=-12$. Show Answer Correct Answer: A) $a=1, \b=1, \c=-12$. 9. Solve by taking the square root:4x$^{2}$ = 100 A) -10, 10. B) -25, 25. C) -5, 5. D) 5. Show Answer Correct Answer: C) -5, 5. 10. 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). 11. Solve the quadratic equation, $x^2+6x=-2$ A) $x=3\pm\sqrt{7}$. B) $x=\pm\sqrt{7}$. C) $x=-3\pm\sqrt{7}$. D) $x=-3\pm\sqrt{11}$. Show Answer Correct Answer: C) $x=-3\pm\sqrt{7}$. 12. Choose the best method to solve this quadratic:(a)-3 = 4x$^{2 }$+ 9x A) A. Quadratic Formula. B) Completing the Square. C) Square Roots. D) Factoring. Show Answer Correct Answer: A) A. Quadratic Formula. 13. What are the a, b, and c values for the quadratic formula? $4x^2-36=0$ A) A = 4, b = 0, c =-36. B) A = 4, b =-36, c = 0. C) A = 4, b = 0, c = 36. D) A = 4, b = 36, c = 0. Show Answer Correct Answer: A) A = 4, b = 0, c =-36. 14. Write the vertex form equation of a quadratic with the vertex (1, 2) and contains the point (2, -5) A) Y =-7 (x-1) $^{2} $+2. B) Y =-3 (x-1) $^{2} $+2. C) Y =-7 (x+1) $^{2} $-2. D) Y =-3 (x+1) $^{2} $-2. Show Answer Correct Answer: A) Y =-7 (x-1) $^{2} $+2. 15. Solve by completing the square:k$^{2}$-12k + 20 = 0 A) K = 10 and 2. B) K =-6 and-6. C) K = 22 and-10. D) K =-2 and 6. Show Answer Correct Answer: A) K = 10 and 2. 16. What's the axis of symmetry of y = 3x$^{2 }$-6x + 4 A) X=1. B) X=-6. C) X=2. D) X=-1. Show Answer Correct Answer: A) X=1. 17. 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. 18. Which statement is true about the following quadratic? $4x^2+5x+3$ A) It has two solutions becuase the discriminant is positive. B) It has one solution because the discriminant is zero. C) It has no real solutions because the discriminant is negative. D) It has no real solutions because the discriminant is positive. Show Answer Correct Answer: C) It has no real solutions because the discriminant is negative. 19. The product of two consecutive integers, n and n+1, is 42. What is the positive integer that satisfies the situation? A) 7. B) 6. C) 21. D) 2. Show Answer Correct Answer: B) 6. 20. What is the first question you ask yourself when factoring a polynomial? A) How many terms does it have?. B) Is there a GCF?. C) What strategy should I use?. D) Why do I have to learn this?!?!?!. Show Answer Correct Answer: B) Is there a GCF?. 21. Solve using any method.2x$^{2}$ + 4x-16 = 0 A) -4, 2. B) -2, 4. C) -16. D) -4. Show Answer Correct Answer: A) -4, 2. 22. Solve $\left(3w+4\right)\left(2w-7\right)=0$ A) $\left\{-\frac{3}{4}, \frac{2}{7}\right\}$. B) $\left\{\frac{3}{4}, \-\frac{2}{7}\right\}$. C) $\left\{-\frac{4}{3}, \\frac{7}{2}\right\}$. D) $\left\{\frac{4}{3}, \-\frac{7}{2}\right\}$. Show Answer Correct Answer: C) $\left\{-\frac{4}{3}, \\frac{7}{2}\right\}$. 23. What are the solutions of 2x$^{2}$-6x + 4 = 0? Use the quadratic formula. A) 5/2, 1/2. B) 2, 1. C) 4, 2. D) -1, -2. Show Answer Correct Answer: B) 2, 1. 24. Given:1/2(x + 4)-5, the equation of the axis of symmetry is A) Y = 4. B) X =-4. C) X = 4. D) X =-5. Show Answer Correct Answer: B) X =-4. 25. 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 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