This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 4 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The area of a playground is 336 yd2. The width of the playground is 5 yd longer than its length. Find the length and width of the playground A) Length = 26 yd, width = 21 yd. B) Length = 21 yd, width = 26 yd. C) Length = 21 yd, width = 16 yd. D) Length = 16 yd, width = 21 yd. Show Answer Correct Answer: D) Length = 16 yd, width = 21 yd. 2. Solve $5x^2+13x=6$ A) $\left\{3, \-\frac{2}{5}\right\}$. B) $\left\{3, \\frac{2}{5}\right\}$. C) $\left\{-3, \\frac{2}{5}\right\}$. D) $\left\{-3, \-\frac{2}{5}\right\}$. Show Answer Correct Answer: C) $\left\{-3, \\frac{2}{5}\right\}$. 3. Choose the best method to solve this quadratic:(a) 2x$^{2 }$-54 = 12x A) A. Factoring. B) Completing the Square. C) Quadratic Formula. D) Square Roots. Show Answer Correct Answer: A) A. Factoring. 4. What is the vertex?f(x) = 2(x-5)$^{2}$ + 12 A) (-5, -12). B) (5, -12). C) (5, 12). D) (-5, 12). Show Answer Correct Answer: C) (5, 12). 5. Ben and his girlfriend got in a fight and she threw his phone off of a balcony. The height of the phone can be modeled by the equation:h(t) =-16t$^{2}$ + 35t + 22 When did the phone reach its maximum height? (Round to 2 decimal places) A) 1.09 seconds. B) 2.19 seconds. C) 41.14 seconds. D) 21.91 seconds. Show Answer Correct Answer: A) 1.09 seconds. 6. Solve:(k+7)$^{2 }$= 289 A) 10 and-23. B) -10 and 23. C) -10 and-23. D) 10 and 23. Show Answer Correct Answer: A) 10 and-23. 7. Solve:3x$^{2}$-12 = 0 A) X = 4 or x = 0. B) X = 2 or x = 0. C) X = 4 or x =-4. D) X = 2 or x =-2. Show Answer Correct Answer: D) X = 2 or x =-2. 8. Calculate the vertex point for the quadratic equation:y =-3x$^{ 2 }$ +12x-20 A) (-3, 12). B) (4, -20). C) (2, -8). D) (-2, -32). Show Answer Correct Answer: C) (2, -8). 9. Using the discriminant, describe the nature of the roots of $x^2+4x-21=0$ A) Imaginary and Unequal numbers. B) Real, Unequal, Rational numbers. C) Real, Unequal, Irrational numbers. D) Real and Equal numbers. Show Answer Correct Answer: B) Real, Unequal, Rational numbers. 10. Multiply.(5x + 2)(x$^{2 }$-3x + 6) A) 5x$^{3 }$-17x$^{2 }$+24x +12. B) 5x$^{3 }$+ 17x$^{2}$-24x +12. C) 5x$^{3}$-13x$^{2}$ + 24x +12. D) 5x$^{3}$ +13x$^{2}$-24x-12. Show Answer Correct Answer: C) 5x$^{3}$-13x$^{2}$ + 24x +12. 11. The solutions to a quadratic equation are \{-4, 1\}. Which equation can be used to represent the quadratic function? A) $y=x^2+3x-4$. B) $y=x^2-3x+8$. C) $y=x^2+6x-2$. D) $y=x^2-6x+2$. Show Answer Correct Answer: A) $y=x^2+3x-4$. 12. In the Quadratic Equation 2x$^{2}$ + 5x + 3 = 0, what is the value of a? A) 1. B) 2. C) 3. D) 5. Show Answer Correct Answer: B) 2. 13. Solve:x$^{2}$ = 7x + 18*HINT* Set = to 0 first, factor, then solve. A) -7 and-18. B) 9 and 2. C) 9 and-2. D) 2 and 7. Show Answer Correct Answer: C) 9 and-2. 14. Solve using the Quadratic Formula:8x$^{2}$-6x+1=0 A) No Solution. B) X=-0.5, -0.25. C) X=0, 1. D) X=0.25, 0.5. Show Answer Correct Answer: D) X=0.25, 0.5. 15. Use the quadratic formula to find the solutions to this equation. $3x^2-4x-22=0$ A) No real solutions. B) $x=\frac{-5+\sqrt{5}}{10}, \\x=\frac{-5-\sqrt{5}}{10}$. C) $x=\frac{2+\sqrt{70}}{3}, \\x=\frac{2-\sqrt{70}}{3}$. D) $x=\frac{-6+\sqrt{78}}{3}, \\x=\frac{-6-\sqrt{78}}{3}$. Show Answer Correct Answer: C) $x=\frac{2+\sqrt{70}}{3}, \\x=\frac{2-\sqrt{70}}{3}$. 16. Solve the following equation by completing the square:n$^{2}$-2n-3 = 0 A) \{3 and-1\}. B) \{4 and-4\}. C) \{5 and-3\}. D) \{8 and-7\}. Show Answer Correct Answer: A) \{3 and-1\}. 17. In the quadratic equation, how do you identity the y-intercept? A) A. B) B. C) C. D) X. Show Answer Correct Answer: C) C. 18. What are the solutions to the equation below? $x^2-4=0$ A) $x=2, \\x=-2$. B) $x=2$. C) $x=\sqrt{-4}, \\x=\sqrt{4}$. D) $x=4, \\x=-4$. Show Answer Correct Answer: A) $x=2, \\x=-2$. 19. The solutions of the quadratic equation x$^{2}$+x+3=0 are A) X = 1 or x = 3. B) X =-1 or x =-3. C) X =-3 or x = 1. D) No solutions. Show Answer Correct Answer: D) No solutions. 20. Which graph would be wider than the graph of y = x$^{2}$? A) Y = 10x$^{2}$. B) Y = (0.25) x $^{2} $. C) All the above. D) None of the above. Show Answer Correct Answer: B) Y = (0.25) x $^{2} $. 21. What value of c would make this a perfect sqaure trinomial?x$^{2}$ +8x + c A) 4. B) 16. C) 64. D) -16. Show Answer Correct Answer: B) 16. 22. The discriminant is A) AX$^{2}$ + bX$^{}$ + c. B) B-4ac. C) B $^{2} $-4ac. D) B $^{2} $+4ac. Show Answer Correct Answer: C) B $^{2} $-4ac. 23. What should you do next? $x^2-25x=0$ A) A. Factor into (x + 5)(x-5). B) B. Add 25x to both sides. C) C. Factor out x. D) None of the above. Show Answer Correct Answer: C) C. Factor out x. 24. Solve 2x$^{2}$ + 17x + 21 = 0 A) X= $^{-21}$/$_{2}$, -17. B) X= $^{2}$/$_{3}$, 16. C) X=-7, $^{-3}$/$_{2}$. D) X= 15, -$^{3}$/$_{7}$. Show Answer Correct Answer: C) X=-7, $^{-3}$/$_{2}$. 25. Use quadratic formula to solve:$x^2+4x+3=0$ A) $\left\{1, 3\right\}$. B) $\left\{-1, -3\right\}$. C) $\left\{4, -3\right\}$. D) $ i \sqrt {3} $. Show Answer Correct Answer: B) $\left\{-1, -3\right\}$. ← 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 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 10Class 10 Maths Chapter 4 Quadratic Equations Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books