This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Maths > Quadratic Equations > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 6 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 6 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Solve the following quadratic equation ..... x$^{2}$ + 3x + 2 = 0 A) X =-1x =-2. B) X =-1x = 2. C) X = 1x = 2. D) X = 1x =-2. Show Answer Correct Answer: A) X =-1x =-2. 2. Solve by factoring:x$^{2}$ = 7x + 18 A) -7 and-18. B) 9 and 2. C) 9 and-2. D) 2 and 7. Show Answer Correct Answer: C) 9 and-2. 3. The formula x =-b/2a is used to find A) The axis of symmetry. B) The roots. C) The y-intercept. D) The x-value of the vertex. Show Answer Correct Answer: D) The x-value of the vertex. 4. A machine salesperson earns a base salary of $ 40, 000 plus a commission of $ 300 for every machine he sells. Which best describes this function? A) Linear. B) Quadratic. C) Exponential. D) None of the above. Show Answer Correct Answer: A) Linear. 5. Solve $^{}$x$^{2}$ + 2x-24 = 0 A) X = 8, x =-3. B) X = 6, x =-4. C) X = 12, x =-2. D) X =-6, x = 4. Show Answer Correct Answer: D) X =-6, x = 4. 6. Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation h =-2t$^{2 }$+ 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second? A) 10. B) 9. C) 4. D) 15. E) 2. Show Answer Correct Answer: B) 9. 7. Name the form of the quadratic equation:y = 2x$^{2}$-8x+7 A) Standard. B) Vertex. C) Factored. D) None of These. Show Answer Correct Answer: A) Standard. 8. What property would you use to solve the following? (x-3)(x+2)=0 A) Zero Product Property. B) Commutative Property. C) Inverse Property. D) Associative Property. Show Answer Correct Answer: A) Zero Product Property. 9. Use the QUADRATIC FORMULA to find the solutions of:$2x^2-7x+1=0$ A) $\frac{7\pm\sqrt{41}}{4}$. B) $\frac{7\pm\sqrt{41}}{2}$. C) $\frac{-7\pm\sqrt{57}}{4}$. D) $\frac{-7\pm\sqrt{41}}{4}$. Show Answer Correct Answer: A) $\frac{7\pm\sqrt{41}}{4}$. 10. Let's talk Factoring. There were 3 methods.We always looked for a GCF first.Factor:12x + 6 A) I ( + 1). B) 2 (sh + h). C) H (hh + 2). D) 6x(2x + 1). Show Answer Correct Answer: A) I ( + 1). 11. Solve using the Quadratic Formula:x$^{2}$ + 4x + 3 = 0 A) $^{}$x = 1 and x = 3. B) X = 6 and x =-2. C) X =-1 and x =-3. D) None of the above. Show Answer Correct Answer: C) X =-1 and x =-3. 12. Solve the quadratic equation using the square root method. $8-3x^2=-22$ A) $\pm2\sqrt{2}$. B) $\pm\sqrt{3}$. C) $\pm\sqrt{10}$. D) $\pm\sqrt{30}$. Show Answer Correct Answer: C) $\pm\sqrt{10}$. 13. What is the discriminant of $x^2+2x\+1=0?$ A) D=1. B) D=3. C) D=0. D) D=2. Show Answer Correct Answer: C) D=0. 14. To complete the perfect square trinomial in the expression x$^{2}$-22x+ ..... , we need to add A) 11. B) 121. C) 144. D) 44. Show Answer Correct Answer: B) 121. 15. What is the discriminant and how many solutions would this quadratic have?-4x$^{2}$-8x-8 =-4 A) 0, No Solutions. B) 128, 2 Solutions. C) 0, 1 Solution. D) 128, 1 Solution. Show Answer Correct Answer: C) 0, 1 Solution. 16. Find x for2x$^{2}$-8x-24=0 A) X= 6, -2. B) X= 2, 6. C) X= 2, -6. D) X= 4, 2. Show Answer Correct Answer: A) X= 6, -2. 17. In the expression 4x$^{2}$-5x+9 the leading coefficient is A) -5. B) 9. C) 4. D) -4. Show Answer Correct Answer: C) 4. 18. Which is a factor of $x^2-11x+24?$ A) $\left(x-4\right)$. B) $\left(x+3\right)$. C) $\left(x+4\right)$. D) $\left(x-3\right)$. Show Answer Correct Answer: D) $\left(x-3\right)$. 19. Amelia runs a catering business. Based on her records, her profit is shown by P = 2x$^{2}$-44x-150, where x is the number of meals she caters and P is her profit. When P is negative, Amelia loses money. What is the least number of meals Amelia needs to cater in order to begin making profit? A) 11. B) 5. C) 50. D) 25. E) -1. Show Answer Correct Answer: D) 25. 20. Which quadratic equation has 4 and-5 has its roots? A) (x + 4) (x-5). B) (x-4) (x-5). C) (x-4) (x + 5). D) (x + 4) (x + 5). Show Answer Correct Answer: C) (x-4) (x + 5). 21. What is the other term for quadratic equations? A) Equation of degree 3. B) Equation of degree 0. C) Equation of degree 2. D) None of the above. Show Answer Correct Answer: C) Equation of degree 2. 22. What is the axis of symmetry? A) The x-axis. B) A way to spin my pencil. C) The slope of the graph. D) The dividing line for a parabola. Show Answer Correct Answer: D) The dividing line for a parabola. 23. Bob throws a ball straight up with a velocity of 84 ft per second from the top of a cliff 34 feet off the ground. Which equation can be used to determine the amount of time it will take for the ball to hit the ground? A) H=-16t$^{ 2}$ +84t-34. B) H=-16t$^{ 2}$ +84t + 34. C) H=-16t$^{ 2}$ +34t-84. D) H=-16t$^{ 2}$ +34t + 84. Show Answer Correct Answer: B) H=-16t$^{ 2}$ +84t + 34. 24. Solve the following Quadratic Equation:x$^{2}$ = 25 A) 5. B) 5, -5. C) -5. D) 0. Show Answer Correct Answer: B) 5, -5. 25. Does the equation open or or down? Y =-3x$^{2}$ +7x-2 A) Up. B) Down. C) All the above. D) None of the above. Show Answer Correct Answer: B) Down. 26. 6(x + 1)-5(x + 2) A) X + z. B) X-4. C) All the above. D) None of the above. Show Answer Correct Answer: B) X-4. 27. Determine the number of real solutions for $-4p^2-4p-1=0$ A) 2 real solutions. B) 1 real solution. C) No real solutions. D) None of the above. Show Answer Correct Answer: B) 1 real solution. 28. 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. 29. Convert x$^{2}$+6x+9 to factored form and identify the solution. A) (x+4)(x+5); x=-4, -5. B) (x+3)(x+3); x=-3. C) Not factorable. D) (x-3)(x-3); x=3. Show Answer Correct Answer: B) (x+3)(x+3); x=-3. 30. 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: C) (3, 2). 31. 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) 4.2 seconds. C) 3.5 seconds. D) -0.2 seconds. Show Answer Correct Answer: B) 4.2 seconds. 32. Solve:x$^{2}$ = 8x A) 4, -4. B) 8. C) 0, 8. D) 0. Show Answer Correct Answer: C) 0, 8. 33. Solve (simplify as much as possible):x$^{2}$-3x-10 = 0 A) 10, -1. B) 2, -5. C) 3, 10. D) -2, 5. Show Answer Correct Answer: D) -2, 5. 34. 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. 35. Remember, always factor more than once when possible. Factor completely:2x$^{2}$+22x+60 A) 2(x+1)(x+30). B) (2x+10)(x+6). C) (x+5)(x+6). D) 2(x+5)(x+6). Show Answer Correct Answer: D) 2(x+5)(x+6). 36. Which equation has a vertex of (-3, 4)? A) Y = 2 (x-3) $^{2} $ + 4. B) Y = 2 (x+ 3) $^{2} $+ 4. C) Y = (x+3) $^{2} $-4. D) Y = (x-3) $^{2} $ + 4. Show Answer Correct Answer: B) Y = 2 (x+ 3) $^{2} $+ 4. 37. What do you do to the b value to correctly complete the square? A) Square it. B) Divide it by 2 and square the result. C) Divide it by 2 and take the square root of the result. D) Divide it by 2 only. Show Answer Correct Answer: B) Divide it by 2 and square the result. 38. Determine the x-intercept(s):y=4(x-2)$^{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). 39. Simplify the expression. $\left(12x^2+8x-5\right)-\left(3x+2-4x^2\right)$ A) $16x^2+5x-3$. B) $16x^2+11x-3$. C) $ 8x^2+5x 7 $. D) $16x^2+5x-7$. Show Answer Correct Answer: D) $16x^2+5x-7$. 40. What is the y-intercept?f(x) = 2(x-5)$^{2}$ + 12 A) (0, 212). B) (0, 62). C) (0, 12). D) (0, -5). Show Answer Correct Answer: B) (0, 62). 41. A rock is dropped from a height of 24 meters. What is the quadratic equation for the path of the rock? A) H(t)-16t + 24. B) H(t) =-16t$^{2}$ + 24. C) H (T) =-4.9T + 24. D) H (t) =-4.9T $^{2} $ + 24. Show Answer Correct Answer: D) H (t) =-4.9T $^{2} $ + 24. 42. Square root of 16 is ..... A) 32. B) 8. C) 4. D) 4 or-4. Show Answer Correct Answer: D) 4 or-4. 43. Solve $27m^2-3m-10=0$ A) $\left\{\frac{3}{2}, \\frac{9}{5}\right\}$. B) $\left\{-\frac{9}{5}, \\frac{3}{2}\right\}$. C) $\left\{-\frac{2}{3}, \-\frac{5}{9}\right\}$. D) $\left\{-\frac{5}{9}, \\frac{2}{3}\right\}$. Show Answer Correct Answer: D) $\left\{-\frac{5}{9}, \\frac{2}{3}\right\}$. 44. What is the nature of the roots of the quadratic equation whose discriminant is a perfect square? A) Real, rational, unequal. B) Real, rational, equal. C) No real roots. D) Real, irrational, unequal. Show Answer Correct Answer: A) Real, rational, unequal. 45. What is another word for zeros? A) Axis of symmetry. B) Y-intercepts. C) Vertex. D) Roots. Show Answer Correct Answer: D) Roots. 46. 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 @@-. 47. What is the vertex?f(x) =-x$^{2 }$-4x + 12. A) (2, 4). B) (-2, 4). C) (-2, 16). D) (2, 0). Show Answer Correct Answer: C) (-2, 16). 48. 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). 49. Which of the following represents the positive solution to the equation? $5x^2 + 4x-1 = 0$ A) X = 0.2. B) X = 1. C) X = 1.5. D) X = 3.2. Show Answer Correct Answer: A) X = 0.2. 50. Factor $7x^2-16x+4$ A) $\left(x-4\right)\left(7x+1\right)$. B) $\left(x+2\right)\left(7x-4\right)$. C) $\left(x-3\right)\left(7x+5\right)$. D) $\left(x-2\right)\left(7x-2\right)$. Show Answer Correct Answer: D) $\left(x-2\right)\left(7x-2\right)$. 51. Solve for the values of x:(x + 2)(x-3) = 0 A) { 2, 3 }. B) { 2, 3 }. C) {-2, 3 }. D) {-2, -3 }. Show Answer Correct Answer: C) {-2, 3 }. 52. Factorize the quadratic expression $3x^2+5x+2$ A) (3x + 1)(x + 2). B) (3x-2)(x-1). C) (3x + 2)(x + 1). D) (3x-1)(x + 2). Show Answer Correct Answer: C) (3x + 2)(x + 1). 53. If a ball if thrown into the air is represented by the functionh(t) =-16t$^{2}$+80t, where t represents the time in seconds and h(t) is the height of the ball in feet. Find the time it will take to reach its maximum height. A) 5 seconds. B) 8 mins. C) 2.5 seconds. D) 604 seconds. Show Answer Correct Answer: C) 2.5 seconds. 54. What is the discriminant of the equation $4x^2+4x+1=0$ A) 16. B) 32. C) 0. D) 12. Show Answer Correct Answer: C) 0. 55. When you begin to complete the square, which of these is the correct equation for solving:x$^{2}$ + 6x + 5 = 0 A) (x + 6)$^{2}$ = 4. B) (x + 3)$^{2}$ = 4. C) (x + 6)$^{2}$ =-9. D) (x + 3x)$^{2}$ = 9. Show Answer Correct Answer: B) (x + 3)$^{2}$ = 4. 56. When in standard form, what is the value of a, b and c in this quadratic? 9x$^{2}$ + 4x-6 =-5x + 8 A) A = 9 b =-9 c = 14. B) A = 9 b = 9 c =-14. C) A = 14 b = 4 c =-14. D) A = 9 b =-1 c = 2. Show Answer Correct Answer: B) A = 9 b = 9 c =-14. 57. What is the solution set to $x^2-49=0$ A) {0, -49}. B) [7, -49}. C) {0, 49}. D) {-7, 7}. Show Answer Correct Answer: D) {-7, 7}. 58. What is the discriminant of-2x$^{2}$-x-1 = 0 A) 76. B) -7. C) 9. D) None of these. Show Answer Correct Answer: B) -7. 59. The product of the roots of the equation $2x^2+7x-1=0$ A) $\frac{7}{2}$. B) $-\frac{7}{2}$. C) $-\frac{1}{2}$. D) $\frac{1}{2}$. Show Answer Correct Answer: C) $-\frac{1}{2}$. 60. Complete the square.x$^{2}$-14x + ..... A) X$^{2}$-14x + 196. B) X$^{2}$-14x + 49. C) X$^{2}$ + 14x-49. D) X$^{2}$ + 14x-196. Show Answer Correct Answer: B) X$^{2}$-14x + 49. ← PreviousNext →Related QuizzesMaths QuizzesClass 10 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 7Class 10 Maths Chapter 4 Quadratic Equations Quiz 8Class 10 Maths Chapter 4 Quadratic Equations Quiz 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books