This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 16 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 16 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Factor $7x^2-16x+4$ A) $\left(x-3\right)\left(7x+5\right)$. B) $\left(x-4\right)\left(7x+1\right)$. C) $\left(x+2\right)\left(7x-4\right)$. D) $\left(x-2\right)\left(7x-2\right)$. Show Answer Correct Answer: D) $\left(x-2\right)\left(7x-2\right)$. 2. 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: D) \{-2, 3 \}. 3. 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: B) (3x + 2)(x + 1). 4. 2x$^{2}$-x-3=0 A) X=-3/2 x=1. B) X= 3/2 x=-1. C) X=-3/2 x=-1. D) X= 3/2 x= 1. Show Answer Correct Answer: B) X= 3/2 x=-1. 5. 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) 8 mins. B) 2.5 seconds. C) 5 seconds. D) 604 seconds. Show Answer Correct Answer: B) 2.5 seconds. 6. What is the discriminant of the equation $4x^2+4x+1=0$ A) 0. B) 12. C) 16. D) 32. Show Answer Correct Answer: A) 0. 7. When you begin to complete the square, which of these is the correct equation for solving:x$^{2}$ + 6x + 5 = 0 A) (x + 3)$^{2}$ = 4. B) (x + 6)$^{2}$ = 4. C) (x + 3x)$^{2}$ = 9. D) (x + 6)$^{2}$ =-9. Show Answer Correct Answer: A) (x + 3)$^{2}$ = 4. 8. When in standard form, what is the value of a, b and c in this quadratic? 9x$^{2}$ + 4x-6 =-5x + 8 A) A = 14 b = 4 c =-14. B) A = 9 b = 9 c =-14. C) A = 9 b =-1 c = 2. D) A = 9 b =-9 c = 14. Show Answer Correct Answer: B) A = 9 b = 9 c =-14. 9. What is the solution set to $x^2-49=0$ A) \{-7, 7\}. B) \{0, 49\}. C) \{0, -49\}. D) [7, -49\}. Show Answer Correct Answer: A) \{-7, 7\}. 10. 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. 11. The product of the roots of the equation $2x^2+7x-1=0$ A) $-\frac{7}{2}$. B) $\frac{1}{2}$. C) $\frac{7}{2}$. D) $-\frac{1}{2}$. Show Answer Correct Answer: D) $-\frac{1}{2}$. 12. Solve $x^2$ A) X=11. B) X=121. C) X= $\pm11$. D) X= $\pm121$. Show Answer Correct Answer: C) X= $\pm11$. 13. 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. 14. Simplify(p-8)$^{2 }$ Hint:(p-8)$^{2}$ = (p-8)(p-8) A) P $^{2}$-16p-64. B) P $^{2}$ + 16p + 64. C) P $^{2}$-16p-8. D) P $^{2}$-16p + 64. Show Answer Correct Answer: D) P $^{2}$-16p + 64. 15. The general form of a quadratic equation is A) $ax^2+bx+c=0$. B) $ax^{ }+bx+c=0$. C) $ax^2-bx+c=0$. D) None of the above. Show Answer Correct Answer: A) $ax^2+bx+c=0$. 16. Given the graph, determine a solution where y is at least 12 less than x A) (25, 20). B) (40, 20). C) (30, 15). D) (12, 25). Show Answer Correct Answer: C) (30, 15). 17. How can the square root of 44 be simplified in the context of the quadratic formula? A) Cannot be simplified. B) 4 * sqrt(11). C) Sqrt(22). D) 2 * sqrt(11). Show Answer Correct Answer: D) 2 * sqrt(11). 18. Find the factors of 4x$^{2}$-16x-9 A) (2x-9)(2x+1). B) (2x+9)(2x-1). C) (4x-1)(x+9). D) (x+1)(4x-9). Show Answer Correct Answer: A) (2x-9)(2x+1). 19. Solve using the quadratic formula:4x$^{2 }$+ 4x + 1 = 0 A) X =-1/2. B) X =-2. C) X = 0. D) X = 1. Show Answer Correct Answer: A) X =-1/2. 20. What is the first step to solving THIS equation by completing the square?a$^{2}$ + 10a + 21 = 0 A) Set the equation equal to zero. B) Divide 10 by 2 and add the result to both sides. C) Add a$^{2}$ and 10a together. D) Subtract the 21. Show Answer Correct Answer: D) Subtract the 21. 21. Which method is best for solving the equation 8x$^{2}$-13x+3=0? A) Square roots. B) Factoring. C) Graphing. D) Quadratic formula. Show Answer Correct Answer: D) Quadratic formula. 22. What is the value of C that would complete the square:$x^2-4x+C$ A) 4. B) 16. C) All the above. D) None of the above. Show Answer Correct Answer: A) 4. 23. Solve by finding square roots and simplify completely:$x^2+20=0$ A) $x=-20$. B) $x=\pm2\sqrt{5}$. C) $x=-2\sqrt{5}$. D) No real solutions. Show Answer Correct Answer: D) No real solutions. 24. Match the description to its equation.Vertical stretch by a factor of 3 A) Y = 3(x)$^{2}$. B) Y = (3x)$^{2}$. C) Y = (1/3x)$^{2}$. D) Y = 1/3 (x) $^{2} $. Show Answer Correct Answer: A) Y = 3(x)$^{2}$. 25. Where the parabola crosses the y-axis. A) X-intercept. B) Domain. C) Y-intercept. D) Axis of Symmetry. Show Answer Correct Answer: C) Y-intercept. ← 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