This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 14 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 14 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. 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. 2. What property would you use to solve the following? (x-3)(x+2)=0 A) Commutative Property. B) Associative Property. C) Zero Product Property. D) Inverse Property. Show Answer Correct Answer: C) Zero Product Property. 3. 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) $\frac{7\pm\sqrt{41}}{4}$. D) $\frac{-7\pm\sqrt{57}}{4}$. Show Answer Correct Answer: C) $\frac{7\pm\sqrt{41}}{4}$. 4. Let's talk Factoring. There were 3 methods.We always looked for a GCF first.Factor:12x + 6 A) I ( + 1). B) H (hh + 2). C) 6x(2x + 1). D) 2 (sh + h). Show Answer Correct Answer: A) I ( + 1). 5. 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. 6. Solve the quadratic equation using the square root method. $8-3x^2=-22$ A) $\pm\sqrt{3}$. B) $\pm\sqrt{30}$. C) $\pm2\sqrt{2}$. D) $\pm\sqrt{10}$. Show Answer Correct Answer: D) $\pm\sqrt{10}$. 7. $m^2-5m-14=0$ A) X = 7 and-2. B) X = 7 and 2. C) X =-7 and-2. D) X =-7 and 2. Show Answer Correct Answer: A) X = 7 and-2. 8. $6x^2+2x+1=0$ A) $x=\frac{-\\sqrt[]{20}}{6}$. B) $\frac{-1\pm2\\sqrt[]{5}}{6}$. C) $\frac{-1\pm\\sqrt[]{5}}{6}$. D) No real solution. Show Answer Correct Answer: D) No real solution. 9. What is the discriminant of $x^2+2x\+1=0?$ A) D=0. B) D=1. C) D=2. D) D=3. Show Answer Correct Answer: A) D=0. 10. To complete the perfect square trinomial in the expression x$^{2}$-22x+ ..... , we need to add A) 11. B) 44. C) 121. D) 144. Show Answer Correct Answer: C) 121. 11. The area of a playground is 336 yd$^{2}$. The width of the playground is 5 yds longer than its length. Find the length and width of the playground A) Length = 8 yd width = 42 yd. B) Length = 24 yd width = 14 yd. C) Length = 56 ydwidth = 6 yd. D) Length = 16 yd width = 21 yd. Show Answer Correct Answer: D) Length = 16 yd width = 21 yd. 12. What is the discriminant and how many solutions would this quadratic have?-4x$^{2}$-8x-8 =-4 A) 0, No Solutions. B) 0, 1 Solution. C) 128, 2 Solutions. D) 128, 1 Solution. Show Answer Correct Answer: B) 0, 1 Solution. 13. Find x for2x$^{2}$-8x-24=0 A) X= 6, -2. B) X= 2, -6. C) X= 4, 2. D) X= 2, 6. Show Answer Correct Answer: A) X= 6, -2. 14. In the expression 4x$^{2}$-5x+9 the leading coefficient is A) 9. B) -5. C) -4. D) 4. Show Answer Correct Answer: D) 4. 15. Which is a factor of $x^2-11x+24?$ A) $\left(x+3\right)$. B) $\left(x-3\right)$. C) $\left(x+4\right)$. D) $\left(x-4\right)$. Show Answer Correct Answer: B) $\left(x-3\right)$. 16. 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) -1. B) 5. C) 11. D) 25. E) 50. Show Answer Correct Answer: D) 25. 17. 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: A) (x-4) (x + 5). 18. 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. 19. What is the axis of symmetry? A) The slope of the graph. B) The dividing line for a parabola. C) A way to spin my pencil. D) The x-axis. Show Answer Correct Answer: B) The dividing line for a parabola. 20. 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$^{ 2}$ +34t-84. B) H=-16t$^{ 2}$ +34t + 84. C) H=-16t$^{ 2}$ +84t + 34. D) H=-16t$^{ 2}$ +84t-34. Show Answer Correct Answer: C) H=-16t$^{ 2}$ +84t + 34. 21. Solve the following Quadratic Equation:x$^{2}$ = 25 A) 5. B) 5, -5. C) -5. D) 0. Show Answer Correct Answer: B) 5, -5. 22. Solve x$^{2}$ + 13x + 12 = 0 A) X =-12, -1. B) X = 12, 1. C) X = 13, 1. D) X =-13, -1. Show Answer Correct Answer: A) X =-12, -1. 23. 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. 24. 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. 25. 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. ← 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