This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 5 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 5 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Complete the Squarex$^{2}$ + 6x = 5 A) (x + 3)$^{2}$ = 5. B) (x + 6)$^{2}$ = 9. C) (x + 3)$^{2}$ = 14. D) (x + 6)$^{2}$ = 14. Show Answer Correct Answer: C) (x + 3)$^{2}$ = 14. 2. Complete the square for x$^{2}$ + 12x + ..... A) X$^{2}$ + 12x + 144. B) X$^{2}$ + 12x + 36. C) X$^{2}$ + 12x-36. D) X$^{2}$ + +12x-144. Show Answer Correct Answer: B) X$^{2}$ + 12x + 36. 3. Solve by Completing the Square:Round to the nearest tenth.2x$^{2}$+4x-5=7Hint:Move the 5 and you must have a lead number of 1! A) -0.4 and-3.4. B) -2.3 and 4.3. C) -3.6 and 1.6. D) No solution. Show Answer Correct Answer: C) -3.6 and 1.6. 4. The solution of the quadratic equation 4x$^{2}$-5x-9=0 are A) X=-1 or x=9/4. B) X=1 or x=9/4. C) X=2 or x=3. D) X=-2 or x=-3. Show Answer Correct Answer: A) X=-1 or x=9/4. 5. What is the y-intercept?y =-2x$^{2}$-4x-1 A) (-1, 0) because y =-2(0)$^{2}$-4(0)-1. B) (-1, 0) because 0 =-2x$^{2}$-4x-1. C) (0, -1) because y =-2(0)$^{2}$-4(0)-1. D) (0, -1) because 0 =-2x$^{2}$-4x-1. Show Answer Correct Answer: C) (0, -1) because y =-2(0)$^{2}$-4(0)-1. 6. What is the formula to calculate the term to be added to make an expression a perfect square trinomial? A) C = $\frac{b}{2}$. B) C = $\frac{-b}{2a}$. C) C = $\left(\frac{b}{2}\right)^2$. D) C = $\left(\frac{b}{4}\right)^2$. Show Answer Correct Answer: C) C = $\left(\frac{b}{2}\right)^2$. 7. Which of the following is an example of quadratic equations? A) X + 9 = 0. B) X + y = 12. C) X $^{3} $ + 5x $^{2} $-14 = 0. D) X$^{2}$-2x = 7. Show Answer Correct Answer: D) X$^{2}$-2x = 7. 8. What is the formula for the discriminant? A) $\frac{-b}{2a}$. B) B-4ac. C) -b $^{2} $-4ac. D) B $^{2} $-4ac. Show Answer Correct Answer: D) B $^{2} $-4ac. 9. What does the 'a' value in a quadratic equation determine? A) The width of the parabola. B) The direction of the parabola (upward if a > 0, downward if a < 0). C) The position of the vertex. D) The x-intercepts of the parabola. Show Answer Correct Answer: B) The direction of the parabola (upward if a > 0, downward if a < 0). 10. What is the formula to find the vertex of a parabola? A) X =-b/2. B) X =-b. C) X =-b / (2a). D) X =-b / 2. Show Answer Correct Answer: C) X =-b / (2a). 11. The axis of symmetry line passes through which point? A) Y-intercept. B) Any random point. C) Vertex. D) None of these. Show Answer Correct Answer: C) Vertex. 12. Solve by factoring:2x$^{2}$+ 7x + 6 = 0 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. 13. Which binomial is a factor of $6x^2+48x+96$ A) $x+4$. B) $ ZKS+8 $. C) $ ZKS+16 $. D) $ shi+16 $. Show Answer Correct Answer: A) $x+4$. 14. In the quadratic formula, the expression b$^{2}$-4ac is called A) Discrim. B) Determinant. C) Discriminant. D) None of these. Show Answer Correct Answer: C) Discriminant. 15. Use the quadratic formula to solve 2x$^{2}$ + 2x-12 = 0? A) -2, 3. B) 2, 3. C) 2, -3. D) -2, -3. Show Answer Correct Answer: C) 2, -3. 16. What is another name for the x-intercepts of a quadratic? A) Y-intercept. B) Zeros. C) X-axis. D) They don't have another name. Show Answer Correct Answer: B) Zeros. 17. What is the definition for a vertex? A) Mirror line in a quadratic. B) Place where the curve changes direction. C) Place where the curve crosses the x axis. D) Place where the curve crosses the y axis. Show Answer Correct Answer: B) Place where the curve changes direction. 18. Determine the number of real solutions for $6n^2+7n+2=8$ A) 2 real solutions. B) 1 real solution. C) No real solutions. D) None of the above. Show Answer Correct Answer: A) 2 real solutions. 19. If x(x+5)=0, what is the solution? A) X=-5. B) X=0. C) X=\{-5, 0\}. D) X=\{0, 5\}. Show Answer Correct Answer: C) X=\{-5, 0\}. 20. In a linear equation, how do you identify the y-intercept? A) Y. B) M. C) X. D) B. Show Answer Correct Answer: D) B. 21. What is the understood leading coefficient of x$^{2}$ A) 0. B) 1. C) All the above. D) None of the above. Show Answer Correct Answer: B) 1. 22. Solve 2x$^{2}$ + 7x-15 = 0 A) -3/2 or 5. B) No Solution. C) -5 or 3/2. D) 0.7 or 5. Show Answer Correct Answer: C) -5 or 3/2. 23. The graph of a quadratic function is called a A) Quadratic graph. B) Parabola. C) Half oval. D) Vertex form. Show Answer Correct Answer: B) Parabola. 24. Solve the following quadratics equation using an appropriate method:$x^2-10x-5=0$ A) $x=-5\pm\sqrt{30}$. B) $x=5\pm\sqrt{30}$. C) $x=30\pm\sqrt{5}$. D) $x=-30\pm\sqrt{5}$. Show Answer Correct Answer: B) $x=5\pm\sqrt{30}$. 25. What is the y-intercept?f(x) =-2x$^{2}$ + 4x-6 A) (0, 6). B) (0, -6). C) (6, 0). D) (-6, 0). Show Answer Correct Answer: B) (0, -6). ← 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 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