This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 15 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 15 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What method should you use to solve the equation:$y=x^2+10x+3$ A) Square Roots Method. B) Complete the Square. C) All the above. D) None of the above. Show Answer Correct Answer: B) Complete the Square. 2. Convert x$^{2}$+6x+9 to factored form and identify the solution. A) (x+3)(x+3); x=-3. B) (x+4)(x+5); x=-4, -5. C) (x-3)(x-3); x=3. D) Not factorable. Show Answer Correct Answer: A) (x+3)(x+3); x=-3. 3. What is the vertex of the quadratic function:y = x$^{2}$-6x + 11? A) (3, 2). B) (-3, -2). C) (-3, 2). D) (3, -2). Show Answer Correct Answer: A) (3, 2). 4. Prince is trying to throw a ball over a fence. The height of the ball, in feet based on the number of seconds, is represented by the equation:$f\left(t\right)=-3.5t^2+14t+3$ A) 1.4 seconds. B) -0.2 seconds. C) 3.5 seconds. D) 4.2 seconds. Show Answer Correct Answer: D) 4.2 seconds. 5. Solve:x$^{2}$ = 8x A) 0. B) 8. C) 0, 8. D) 4, -4. Show Answer Correct Answer: C) 0, 8. 6. Solve Using the Quadratic Formula x$^{2}$ + 4x-40 =-8 A) -10 &-4. B) -4 & 10. C) -8 & 4. D) 8 &-4. Show Answer Correct Answer: C) -8 & 4. 7. Solve (simplify as much as possible):x$^{2}$-3x-10 = 0 A) 2, -5. B) -2, 5. C) 10, -1. D) 3, 10. Show Answer Correct Answer: B) -2, 5. 8. Given the equation:y =-(x-4)$^{2 }$-3, does this parabola have a maximum or minimum value? A) Maximum. B) Minimum. C) All the above. D) None of the above. Show Answer Correct Answer: A) Maximum. 9. Remember, always factor more than once when possible. Factor completely:2x$^{2}$+22x+60 A) (2x+10)(x+6). B) (x+5)(x+6). C) 2(x+1)(x+30). D) 2(x+5)(x+6). Show Answer Correct Answer: D) 2(x+5)(x+6). 10. Which equation has a vertex of (-3, 4)? A) Y = 2 (x+ 3) $^{2} $+ 4. B) Y = (x+3) $^{2} $-4. C) Y = (x-3) $^{2} $ + 4. D) Y = 2 (x-3) $^{2} $ + 4. Show Answer Correct Answer: A) Y = 2 (x+ 3) $^{2} $+ 4. 11. What do you do to the b value to correctly complete the square? A) Square it. B) Divide it by 2 and square the result. C) Divide it by 2 and take the square root of the result. D) Divide it by 2 only. Show Answer Correct Answer: B) Divide it by 2 and square the result. 12. Determine the x-intercept(s):y=4(x-2)$^{2}$-16 A) (4, 0). B) (10, 0). C) (-2, 0). D) (0, 0) and (4, 0). Show Answer Correct Answer: D) (0, 0) and (4, 0). 13. Simplify the expression. $\left(12x^2+8x-5\right)-\left(3x+2-4x^2\right)$ A) $16x^2+11x-3$. B) $ 8x^2+5x 7 $. C) $16x^2+5x-7$. D) $16x^2+5x-3$. Show Answer Correct Answer: C) $16x^2+5x-7$. 14. What is the y-intercept?f(x) = 2(x-5)$^{2}$ + 12 A) (0, -5). B) (0, 12). C) (0, 62). D) (0, 212). Show Answer Correct Answer: C) (0, 62). 15. A rock is dropped from a height of 24 meters. What is the quadratic equation for the path of the rock? A) H (T) =-4.9T + 24. B) H(t) =-16t$^{2}$ + 24. C) H (t) =-4.9T $^{2} $ + 24. D) H(t)-16t + 24. Show Answer Correct Answer: C) H (t) =-4.9T $^{2} $ + 24. 16. Square root of 16 is ..... A) 4 or-4. B) 32. C) 8. D) 4. Show Answer Correct Answer: A) 4 or-4. 17. Which of the following is a perfect square? A) 12. B) 90. C) 40. D) 64. Show Answer Correct Answer: D) 64. 18. Solve $27m^2-3m-10=0$ A) $\left\{\frac{3}{2}, \\frac{9}{5}\right\}$. B) $\left\{-\frac{5}{9}, \\frac{2}{3}\right\}$. C) $\left\{-\frac{9}{5}, \\frac{3}{2}\right\}$. D) $\left\{-\frac{2}{3}, \-\frac{5}{9}\right\}$. Show Answer Correct Answer: B) $\left\{-\frac{5}{9}, \\frac{2}{3}\right\}$. 19. What is the nature of the roots of the quadratic equation whose discriminant is a perfect square? A) Real, irrational, unequal. B) Real, rational, equal. C) No real roots. D) Real, rational, unequal. Show Answer Correct Answer: D) Real, rational, unequal. 20. What is another word for zeros? A) Y-intercepts. B) Roots. C) Vertex. D) Axis of symmetry. Show Answer Correct Answer: B) Roots. 21. What is the relationship between the roots and the coefficients of a quadratic equation? A) The sum of the roots is @@-. B) The sum of the roots is @@. C) The sum of the roots is @@ 0 @@ and the product of the roots is @@ 1 @@. D) The sum of the roots is @@. Show Answer Correct Answer: A) The sum of the roots is @@-. 22. What is the vertex?f(x) =-x$^{2 }$-4x + 12. A) (-2, 16). B) (2, 0). C) (2, 4). D) (-2, 4). Show Answer Correct Answer: A) (-2, 16). 23. What is the vertex of x$^{2}$+10x+24? A) (-5, -1). B) (5, 1). C) (6, 4). D) (-6, -4). Show Answer Correct Answer: A) (-5, -1). 24. What do you call the graph of quadratic functions? A) Hyperbola. B) Parabola. C) Vertex. D) Ellipse. Show Answer Correct Answer: B) Parabola. 25. Which of the following represents the positive solution to the equation? $5x^2 + 4x-1 = 0$ A) X = 1. B) X = 0.2. C) X = 1.5. D) X = 3.2. Show Answer Correct Answer: B) X = 0.2. ← 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