This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 11 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 11 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the "c" value in the equation 4x$^{2}$ = 76? A) 4. B) 76. C) 0. D) -76. Show Answer Correct Answer: D) -76. 2. How many real number solutions does7x$^{2}$ + 12x-21 = 0 have? A) No real number solutions. B) One. C) Two. D) Three or more. Show Answer Correct Answer: C) Two. 3. What is a method of checking your work when factoring? A) FOIL. B) Asking the teacher every time. C) Assume you're correct. D) Division. Show Answer Correct Answer: A) FOIL. 4. 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: A) X = 11 or x = $-\frac{1}{5}$. 5. Find the vertex of f(x) =-x$^{2 }$-4x + 12 A) (-2, 16). B) (2, 0). C) (2, 4). D) (-2, 4). Show Answer Correct Answer: A) (-2, 16). 6. 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) $\left(x-2\right)\left(x-9\right)$. 7. Scott correctly solved $2p^2-3p-3=0$ A) $\frac{-\left(-3\right)\pm\sqrt{\left(-3\right)^2-4\left(2\right)\left(-3\right)}}{2\left(2\right)}$. B) $\frac{-\left(3\right)\pm\sqrt{\left(3\right)^2+4\left(2\right)\left(-3\right)}}{2\left(-3\right)}$. C) $\frac{2\pm\sqrt{\left(2\right)^2-4\left(-3\right)\left(-3\right)}}{2\left(2\right)}$. 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: A) $\frac{-\left(-3\right)\pm\sqrt{\left(-3\right)^2-4\left(2\right)\left(-3\right)}}{2\left(2\right)}$. 8. $y=-\frac{2}{3}(x-9)^2-2$ A) $y=-\frac{2}{3}x^2-12x-52$. B) $y=-\frac{2}{3}x^2+12x-56$. C) $y=-\frac{2}{3}x^2+18x-56$. D) $y=-\frac{2}{3}x^2-18x+52$. Show Answer Correct Answer: B) $y=-\frac{2}{3}x^2+12x-56$. 9. 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. 10. How did we transform from the parent function?y =-1/2(x-1)$^{2}$ + 3 A) Reflection, vertical compression, horizontal right, vertical up. B) Vertical compression, horizontal shift left, vertical shift up. C) Reflection, horizontal shift right, vertical shift down. D) No changes were made to y = x$^{2}$. Show Answer Correct Answer: A) Reflection, vertical compression, horizontal right, vertical up. 11. Identify the 'a' value:y = 16x$^{2}$-8x-24 A) 16. B) 8. C) -8. D) -24. Show Answer Correct Answer: A) 16. 12. $10x-2y=6$ A) $ y = 5x-3 $. B) $ y =-5x+3 $. C) $-2y=-10x+6$. D) $y=\frac{1}{5}x-\frac{1}{3}$. Show Answer Correct Answer: A) $ y = 5x-3 $. 13. $y=-3(x+5)^2-4$ A) Y = 9x$^{2 }$-15x + 21. B) Y =-3x$^{2 }$-75x-4. C) Y = 9x$^{2 }$+ 90x + 221. D) Y =-3x$^{2 }$-30x-79. Show Answer Correct Answer: D) Y =-3x$^{2 }$-30x-79. 14. 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)$^{2}$. 15. Solve the equation using the zero product property.3x(2x-4) = 0 A) X =-1/3 or x =-2. B) X = 0 or x = 2. C) X = 0 or x =-2. D) X =-1/3 or x = 2. Show Answer Correct Answer: B) X = 0 or x = 2. 16. Factor:2x$^{2}$-5x + 2 A) (2x-1)(x-2). B) (2x + 1)(x-2). C) (2x-2)(x-1). D) (2x + 2)(x-1). Show Answer Correct Answer: A) (2x-1)(x-2). 17. Factorn$^{2}$ + 16n + 63 A) (n-7)(n+4). B) (n+7)(n-9). C) (n-3)(n-10). D) (n+7)(n+9). Show Answer Correct Answer: D) (n+7)(n+9). 18. What is one of the solutions to this equation?(2x-1)$^{2}$ = 49 A) 7. B) -7. C) -4. D) -3. Show Answer Correct Answer: D) -3. 19. 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 2, she should have had $2x^2=78$. B) In step 3, should should have had $x^2=144$. C) In step 4, she forgot to include the negative solution. D) Everything is correct. Show Answer Correct Answer: C) In step 4, she forgot to include the negative solution. 20. 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. 21. 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) 11, 045, 265. B) 5, 694, 677. C) 998, 613. D) 12, 235. Show Answer Correct Answer: C) 998, 613. 22. If the discriminant is equal to 4, how many solutions are there? A) No Solutions. B) 1 Solution. C) 2 Solutions. D) Infinite Solutions. Show Answer Correct Answer: C) 2 Solutions. 23. Find the axis of symmetry for $y=x^2-8x+15$ A) X =-4. B) X = 4. C) Y = 4. D) Y =-4. Show Answer Correct Answer: B) X = 4. 24. Identify the a, b, and c in this quadratic expression7 + 13x-19x$^{2}$ A) A = 7, b = 13, c =-19. B) A = 13, b = 7, c =-19. C) A =-19, b = 13, c = 7. D) A = 7, b =-19, c = 13. Show Answer Correct Answer: C) A =-19, b = 13, c = 7. 25. What is the maximum or minimum value of a quadratic function? A) The maximum or minimum value occurs at the vertex, given by the y-coordinate of the vertex. 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 can be found by evaluating the function at its roots. Show Answer Correct Answer: A) The maximum or minimum value occurs at the vertex, given by the y-coordinate of the vertex. ← 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