This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Maths > Quadratic Equations > 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 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Solve using the Zero-Product Property(x-11)(5x + 1) = 0 A) X = 11 or x = $\frac{1}{5}$. B) X =-11 or x = $-\frac{1}{5}$. C) X = 11 or x = $-\frac{1}{5}$. D) X =-11 or x = $\frac{1}{5}$. Show Answer Correct Answer: C) X = 11 or x = $-\frac{1}{5}$. 2. Find the vertex of f(x) =-x$^{2 }$-4x + 12 A) (-2, 4). B) (2, 0). C) (2, 4). D) (-2, 16). Show Answer Correct Answer: D) (-2, 16). 3. Factor $x^2-11x+18$ A) $\left(x-2\right)\left(x-9\right)$. B) $\left(x+2\right)\left(x-9\right)$. C) $\left(x+2\right)\left(x+9\right)$. D) $\left(x-2\right)\left(x+9\right)$. Show Answer Correct Answer: A) $\left(x-2\right)\left(x-9\right)$. 4. Scott correctly solved $2p^2-3p-3=0$ A) $\frac{2\pm\sqrt{\left(2\right)^2-4\left(-3\right)\left(-3\right)}}{2\left(2\right)}$. B) $\frac{-\left(3\right)\pm\sqrt{\left(3\right)^2+4\left(2\right)\left(-3\right)}}{2\left(-3\right)}$. C) $\frac{-\left(-3\right)\pm\sqrt{\left(-3\right)^2-4\left(2\right)\left(-3\right)}}{2\left(2\right)}$. D) $\frac{-\left(-3\right)\pm\sqrt{\left(2\right)^2-4\left(2\right)\left(-3\right)}}{2\left(-3\right)}$. Show Answer Correct Answer: C) $\frac{-\left(-3\right)\pm\sqrt{\left(-3\right)^2-4\left(2\right)\left(-3\right)}}{2\left(2\right)}$. 5. $y=-\frac{2}{3}(x-9)^2-2$ A) $y=-\frac{2}{3}x^2+12x-56$. B) $y=-\frac{2}{3}x^2+18x-56$. C) $y=-\frac{2}{3}x^2-12x-52$. D) $y=-\frac{2}{3}x^2-18x+52$. Show Answer Correct Answer: A) $y=-\frac{2}{3}x^2+12x-56$. 6. Describe the number and type solutions for the following:x$^{2}$ + 7x + 13if the discriminant is equal to-3 A) 2 real solution. B) 2 imaginary solution. C) 1 real solution. D) None of the above. Show Answer Correct Answer: B) 2 imaginary solution. 7. How did we transform from the parent function?y =-1/2(x-1)$^{2}$ + 3 A) Reflection, vertical compression, horizontal right, vertical up. B) Reflection, horizontal shift right, vertical shift down. C) Vertical compression, horizontal shift left, vertical shift up. D) No changes were made to y = x$^{2}$. Show Answer Correct Answer: A) Reflection, vertical compression, horizontal right, vertical up. 8. Identify the 'a' value:y = 16x$^{2}$-8x-24 A) 16. B) -24. C) -8. D) 8. Show Answer Correct Answer: A) 16. 9. Which of the following is completely factored and simplified? A) 2(x+5)(x+5). B) 2x$^{2}$+20x+50. C) 2(x$^{2}$+10x+25). D) 2(x+5)$^{2}$. Show Answer Correct Answer: D) 2(x+5)$^{2}$. 10. Solve the equation using the zero product property.3x(2x-4) = 0 A) X =-1/3 or x =-2. B) X =-1/3 or x = 2. C) X = 0 or x =-2. D) X = 0 or x = 2. Show Answer Correct Answer: D) X = 0 or x = 2. 11. Factor:2x$^{2}$-5x + 2 A) (2x-1)(x-2). B) (2x-2)(x-1). C) (2x + 1)(x-2). D) (2x + 2)(x-1). Show Answer Correct Answer: A) (2x-1)(x-2). 12. Factorn$^{2}$ + 16n + 63 A) (n-3)(n-10). B) (n+7)(n+9). C) (n-7)(n+4). D) (n+7)(n-9). Show Answer Correct Answer: B) (n+7)(n+9). 13. What is one of the solutions to this equation?(2x-1)$^{2}$ = 49 A) 7. B) -4. C) -3. D) -7. Show Answer Correct Answer: C) -3. 14. Samantha solved the quadratic using the following steps and the square root property.Step 1:$2x^2+3=75$ $2x^2=72$ $x^2=36$ $x=6$ A) In step 4, she forgot to include the negative solution. B) Everything is correct. C) In step 3, should should have had $x^2=144$. D) In step 2, she should have had $2x^2=78$. Show Answer Correct Answer: A) In step 4, she forgot to include the negative solution. 15. What are the roots of the quadratic equation 3t$^{2}$ = 12? A) T =4 and t =-4. B) T = 2 and t =-2. C) T = 3 and t =-3. D) T = 9 and t =-9. Show Answer Correct Answer: B) T = 2 and t =-2. 16. Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720, 500(1.022)$^{x}$, where x is the number of years since January 1980. If the population continues to increase, what will it be in1995? A) 12, 235. B) 5, 694, 677. C) 11, 045, 265. D) 998, 613. Show Answer Correct Answer: D) 998, 613. 17. If the discriminant is equal to 4, how many solutions are there? A) 2 Solutions. B) 1 Solution. C) No Solutions. D) Infinite Solutions. Show Answer Correct Answer: A) 2 Solutions. 18. Find the axis of symmetry for $y=x^2-8x+15$ A) X = 4. B) Y =-4. C) Y = 4. D) X =-4. Show Answer Correct Answer: A) X = 4. 19. Identify the a, b, and c in this quadratic expression7 + 13x-19x$^{2}$ A) A = 7, b =-19, c = 13. B) A = 13, b = 7, c =-19. C) A = 7, b = 13, c =-19. D) A =-19, b = 13, c = 7. Show Answer Correct Answer: D) A =-19, b = 13, c = 7. 20. What is the maximum or minimum value of a quadratic function? A) The maximum or minimum value can be found by evaluating the function at its roots. B) The maximum or minimum value is always at the x-intercepts of the function. C) The maximum or minimum value is determined by the leading coefficient of the quadratic. D) The maximum or minimum value occurs at the vertex, given by the y-coordinate of the vertex. Show Answer Correct Answer: D) The maximum or minimum value occurs at the vertex, given by the y-coordinate of the vertex. 21. Complete the Square and write in Vertex Form:f(x) = x$^{2}$ + 6x + 5 A) (x + 3)$^{2}$-4. B) (x + 6)$^{2}$-4. C) (x + 3x)$^{2}$-4. D) (x + 3)$^{2}$ + 9. Show Answer Correct Answer: A) (x + 3)$^{2}$-4. 22. In the quadratic equation 2x$^{2}$-9x-5 = 0, which is the quadratic term? A) X $^{a} $. B) -5. C) X$^{2}$. D) 9. Show Answer Correct Answer: A) X $^{a} $. 23. Choose the best method to solve this quadratic:(a) 2(x + 2)$^{2}$-5 = 8 A) Quadratic Formula. B) A. Square Roots. C) Factoring. D) Completing the Square. Show Answer Correct Answer: B) A. Square Roots. 24. What is the a-value:$y=2x^2+5x+2$ A) 2. B) 5. C) All the above. D) None of the above. Show Answer Correct Answer: A) 2. 25. Factor this:2x$^{2}$+7x=42-x A) 2(x+7)(x-3)=0. B) 2(x-7)(x+3)=0. C) (x-6)(x+7)=0. D) (x+7)(x-3)=0. Show Answer Correct Answer: A) 2(x+7)(x-3)=0. 26. A function has a discriminant of 25 ..... How many solutions does it have? A) 0. B) 5. C) 2. D) 1. Show Answer Correct Answer: C) 2. 27. Identify A, B, and C if y=3x$^{2}$-8+5x A) A=3, B=-8, C=5. B) A=3, B=5, C=-8. C) A = 3x $ ^ {2} $, b = 5x, c =-8. D) A = 3x $ ^ {2} $, b =-8, c = 5x. Show Answer Correct Answer: B) A=3, B=5, C=-8. 28. The discriminant is-10. How many solutions are there? A) 2. B) 1. C) 0. D) None of the above. Show Answer Correct Answer: C) 0. 29. What is the value of c in the quadratic equation, x$^{2}$ + 2x-1 = 0 A) -1. B) 1. C) 2. D) -2. Show Answer Correct Answer: A) -1. 30. Choose the best method to solve this quadratic:(a) x$^{2 }$+ 8x-13 = 0 A) Factoring. B) A. Completing the Square. C) Quadratic Formula. D) Square Roots. Show Answer Correct Answer: B) A. Completing the Square. 31. Solve by completing the square:x$^{2}$-4x = 5 A) 11 and-7. B) 1 and 3. C) 1.73 and-1.73. D) 5 and-1. Show Answer Correct Answer: D) 5 and-1. 32. What is the name of the point where the parabola crosses the y-axis? A) Solution. B) Zero. C) X-intercept. D) Y-intercept. Show Answer Correct Answer: D) Y-intercept. 33. What are the factors of x$^{2}$+3x-40 A) (x+1)(x-3). B) (x+10)(x-4). C) (x+8)(x-5). D) (x+20)(x-2). Show Answer Correct Answer: C) (x+8)(x-5). 34. What is the axis of symmetry for the following equation?y=4x$^{2}$-8x+9 A) X=-8. B) X=4. C) X=-2. D) X=2. Show Answer Correct Answer: D) X=2. 35. Write in vertex form:y = 4x$^{2}$-8x-24 A) Y = 4 (x-2) $^{2} $-24. B) Y = 4 (x-1) $^{2} $-28. C) Y = 4 (x-1) $^{2} $-20. D) Y = 4 (x-1) $^{2} $-24. Show Answer Correct Answer: B) Y = 4 (x-1) $^{2} $-28. 36. Use the quadratic formula to find the solutions fory =-x$^{2}$-5x + 12 A) -4.9 and-0.1. B) -8.54 and 8.54. C) -0.45 and 3.55. D) -6.77 and 1.77. Show Answer Correct Answer: D) -6.77 and 1.77. 37. The number of mosquitoes at the beginning of the summer was 4, 000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months? A) 9766. B) 9006. C) 5433. D) 9765. Show Answer Correct Answer: D) 9765. 38. Solve the following quadratic equation(x + 3)(x + 2) = 0 A) X=-2, x=-3. B) X=-1, x=-4. C) X=2, x=3. D) X=1, x=4. Show Answer Correct Answer: A) X=-2, x=-3. 39. B$^{2}$-4ac would equal:y = 2x$^{2}$-x-3 A) -25. B) 0. C) -23. D) 25. Show Answer Correct Answer: D) 25. 40. Solve using the quadratic formula. $x^2-6x+1=0$ A) $2\pm8\sqrt{2}$. B) $3\pm2\sqrt{2}$. C) $6\pm4\sqrt{2}$. D) $6\pm\sqrt{32}$. Show Answer Correct Answer: B) $3\pm2\sqrt{2}$. 41. The height of a water balloon that is launched into the air is given by h(t) =-5t$^{2}$ + 40t + 2. From what height was the balloon released? A) 5 meters. B) 2 meters. C) 20 meters. D) 40 meters. Show Answer Correct Answer: B) 2 meters. 42. George has a 15 x 10 patio. He wants a bigger patio. George wants to add the same amount to the current length and the width so the new patio has an area of 350. What equation can he use to solve for the additional amount added (x)? A) X$^{ 2 }$ + 25x-350 = 0. B) X$^{ 2 }$ + 25x + 350 = 0. C) X$^{ 2 }$ + 25x-200 = 0. D) X$^{ 2 }$ + 25x + 150 = 0. Show Answer Correct Answer: C) X$^{ 2 }$ + 25x-200 = 0. 43. What is "b" in the equation 3x$^{2 }$-7 = 0? A) 10. B) 0. C) 7. D) 3. Show Answer Correct Answer: B) 0. 44. What effects does "h" have on the parent function? A) Vertical stretch/compression. B) Horizontal shifts (left/right). C) Vertical shifts (up/down). D) None of the above. Show Answer Correct Answer: B) Horizontal shifts (left/right). 45. Write the equation in vertex form:y = x$^{2}$ + 10x + 20 A) Y = (x+ 5) $^{2} $+ 20. B) Y = (x + 5) $^{2} $ + 45. C) Y = (x+5) $^{2} $-5. D) Y = (x + 5) $^{2} $ + 5. Show Answer Correct Answer: C) Y = (x+5) $^{2} $-5. 46. If the graph of a quadratic does not intercept the x axis at any point, then it has: A) 2 Real Solutions. B) 1 Real Solution. C) Half a Solution. D) No Real Solution. Show Answer Correct Answer: D) No Real Solution. 47. What is the axis of symmetry formula? A) X =-b/2a. B) B $^{2} $-4ac. C) Y = mx+b. D) Y = ax$^{2}$+bx+c. Show Answer Correct Answer: A) X =-b/2a. 48. If the Discriminate is greater than 0 it has how many roots? A) 1. B) 2. C) 0. D) 3. Show Answer Correct Answer: B) 2. 49. Solve the following quadratic equation ..... x$^{2}$ + 7x + 12 = 0 A) X = 2x = 6. B) X =-1x =-12. C) X =-3x =-4. D) X =-2x =-6. Show Answer Correct Answer: C) X =-3x =-4. 50. Solve by ANY method you have learned:x$^{2 }$-2x-11=0 A) $-1\pm3\sqrt{2}$. B) $-10\pm\sqrt{89}$. C) $1\pm2\sqrt{3}$. D) $10\pm\sqrt{89}$. Show Answer Correct Answer: C) $1\pm2\sqrt{3}$. 51. Factorize the quadratic expression $x^2+5x+6$ A) (x + 3)(x + 2). B) (x + 4)(x + 2). C) (x-2)(x-3). D) (x + 2)(x + 3). Show Answer Correct Answer: D) (x + 2)(x + 3). 52. Identify a, b, and c in:x$^{2}$-6x+14 A) 3, 5, 9. B) 1, 6, 14. C) 1, -6, 14. D) 1, -6, -14. Show Answer Correct Answer: C) 1, -6, 14. 53. Which of the following quadratic equations is written in standard form? A) $x^2+10x+25=0$. B) $x^2+6x=-9$. C) $ X^A+14 = Dax $. D) $x^2=36$. Show Answer Correct Answer: A) $x^2+10x+25=0$. 54. What is the domain of $f\left(x\right)=4+x^2$ A) All real numbers. B) $x\ge4$. C) $x\le4$. D) X = 0. Show Answer Correct Answer: A) All real numbers. 55. Write an equation for a parabola with vertex at (1, 3) that passes through (-2, -15). A) Y = 2 (x-1) $^{2} $ +3. B) Y = 2 (x + 1) $^{2} $ + 3. C) Y =-2 (x-1) $^{2} $ + 3. D) Y =-2 (x +1) $^{2} $ +3. Show Answer Correct Answer: C) Y =-2 (x-1) $^{2} $ + 3. 56. Find the factors of the quadratic equation y= 4x$^{ 2}$-100$^{}$ A) (2x-4) (2x-25). B) (2x-10) (2x + 10). C) (4x-10) (x +10). D) (4x-10) (x-10). Show Answer Correct Answer: B) (2x-10) (2x + 10). 57. What should you do next? $x^2+5x+4=0$ A) A. Square root both sides. B) B. Subtract 4 from both sides. C) C. Factor The trinomial. D) None of the above. Show Answer Correct Answer: C) C. Factor The trinomial. 58. Which equation below is a quadratic? A) Y=9x+5. B) Y=3x$^{2}$-6. C) X=3$^{x}$. D) Y = 5x $^{3} $+6. Show Answer Correct Answer: B) Y=3x$^{2}$-6. 59. Which best describes the vertex of a parabola? A) A point on the y-axis. B) The highest or lowest point of a parabola. C) Any point on the parabola. D) A point on the x-axis. Show Answer Correct Answer: B) The highest or lowest point of a parabola. 60. Factor Completely. $4x^2+24x-64$ A) $4\left(x^2+24x-16\right)$. B) $4\left(x-8\right)\left(x+2\right)$. C) $4(x^2+6x-16)$. D) $4\left(x+8\right)\left(x-2\right)$. Show Answer Correct Answer: D) $4\left(x+8\right)\left(x-2\right)$. ← 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 6Class 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