This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 23 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 23 (23 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What are the solutions of 7x$^{2}$ + 8x + 1 = 0? Solve using the quadratic formula. A) -1, 1/7. B) 1, 7. C) -1, -7. D) -1, -1/7. Show Answer Correct Answer: D) -1, -1/7. 2. Is this function wider, narrower, or the same as y=x$^{2}$?f(x) =-6(x-7)$^{2}$-9 A) Wider. B) Narrower. C) Same. D) None of the above. Show Answer Correct Answer: B) Narrower. 3. If the sum of two numbers is 20 and its product is 64, find the numbers. A) 2 and 18. B) 3 and 17. C) 4 and 16. D) 8 and 12. Show Answer Correct Answer: C) 4 and 16. 4. In order to use the quadratic formula, the equation must be equal to ..... A) 0. B) 1. C) Undefined. D) No solution. Show Answer Correct Answer: A) 0. 5. Solve Using the Quadratic Formula 2x$^{2}$ + 7x-15 = 0 A) -1.5 or 5. B) No Solution. C) -5 or 1.5. D) 0.7 or 5. Show Answer Correct Answer: C) -5 or 1.5. 6. Solve by completing the square.x$^{2}$ + 4x= 12 A) X = 2 and-2. B) X =-6 and 2. C) X = 6 and-2. D) X = 1 and-1. Show Answer Correct Answer: B) X =-6 and 2. 7. What is the final step in simplifying the solution of the quadratic formula? A) Multiply all terms by 2. B) Divide all terms by the greatest common factor. C) Add the values of a, b, and c. D) Square the entire equation. Show Answer Correct Answer: B) Divide all terms by the greatest common factor. 8. -6x-6(-3x + 3) = 114 A) X = 9. B) X = 11. C) X = 14. D) X = 5. Show Answer Correct Answer: B) X = 11. 9. What is the discriminant of the equation $x^2+3x\-10=0$ A) 9. B) -31. C) -34. D) 49. Show Answer Correct Answer: D) 49. 10. Solve the equation below. $x^2-18x + 81 = 0$ A) X = 9. B) X =-9. C) X = 0. D) X = 18. Show Answer Correct Answer: A) X = 9. 11. Determine the vertex from the following equation:$-3\left(x-4\right)^2+1$ A) Vertex:(4, 1). B) Vertex:(-4, -1). C) Vertex:(4, -1). D) Vertex:(-4, 1). Show Answer Correct Answer: A) Vertex:(4, 1). 12. What is the y intercept for the equation:y =-8x$^{2}$ + 3x-7 A) (0, -8). B) (0, 3). C) (0, 7). D) (0, -7). Show Answer Correct Answer: D) (0, -7). 13. Factor $x^2-10x+9$ A) $\left(x-1\right)\left(x-9\right)$. B) $\left(x+1\right)\left(x+9\right)$. C) $\left(x-1\right)\left(x+9\right)$. D) $\left(x+1\right)\left(x-9\right)$. Show Answer Correct Answer: A) $\left(x-1\right)\left(x-9\right)$. 14. But ..... You must always set the equation equal to zero before you factor.Solve:x$^{2}$+9x =18 A) X = 3 or x = 6. B) X =-2 or x =-9. C) X = 2 or x = 9. D) X =-3 or x =-6. Show Answer Correct Answer: D) X =-3 or x =-6. 15. Determine the values of a, b, and c for the quadratic equation:3m$^{2 }$-14 = 11m A) A=3 b=14 c=-11. B) A=3 b=-14 c=11. C) A=4 b=-14 c=11. D) A=4 b=14 c=-11. Show Answer Correct Answer: A) A=3 b=14 c=-11. 16. What is a second degree polynomial equation? A) Linear Equations. B) Quadratic Inequalities. C) Quadratic Equations. D) Quadratic Functions. Show Answer Correct Answer: C) Quadratic Equations. 17. What is the simplified form of (-3 + 2i)(1-4i) A) -2-any. B) 5 + 14i. C) -11-10i. D) -3-8i. Show Answer Correct Answer: B) 5 + 14i. 18. What is the "formula" for finding the axis of symmetry? A) $y=ax^2+bx+c$. B) $x=\frac{-b}{2a}$. C) $y=mx+b$. D) $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$. Show Answer Correct Answer: B) $x=\frac{-b}{2a}$. 19. Identify the 'b' value:y = 16x$^{2}$-8x-24 A) 16. B) -8. C) 8. D) -24. Show Answer Correct Answer: B) -8. 20. Solve by completing the square.y$^{2}$ + 10y =-9 A) 1 and-12. B) -1 and-9. C) 1 and-9. D) 1 and-1. Show Answer Correct Answer: B) -1 and-9. 21. Simplify:(3x$^{4}$ + 2x-4x$^{2}$) + (5x$^{2}$-8x + 6x$^{4}$) A) 9x$^{4}$ + 10x + 9x$^{2}$. B) 9x$^{4}$ + x$^{2}$-6x. C) 3x$^{4}$ + 9x$^{2}$ + 6x. D) 3x$^{4}$-6x + x$^{2}$. Show Answer Correct Answer: B) 9x$^{4}$ + x$^{2}$-6x. 22. What is the discriminant of the following quadratic equation? $y=7x^2-5x+32$ A) $-871$. B) $921$. C) $689$. D) $1164$. Show Answer Correct Answer: A) $-871$. 23. $\left(a+b\right)^2$ A) A$^{2}$+b$^{2}$. B) A$^{2}$+4ab+b$^{2}$. C) A$^{2}$+2ab+b$^{2}$. D) Any $^{a} $+4 August+$^{a} $. Show Answer Correct Answer: C) A$^{2}$+2ab+b$^{2}$. ← PreviousRelated 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