This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 17 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 17 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Solve the quadratic equation, $3p^2=-8p-5$ A) $\frac{4\pm\sqrt{31}}{3}$. B) $\frac{-8\pm2\sqrt{31}}{6}$. C) $\frac{-4\pm\sqrt{31}}{3}$. D) $\frac{8\pm2\sqrt{31}}{6}$. Show Answer Correct Answer: C) $\frac{-4\pm\sqrt{31}}{3}$. 2. $y=\frac{3}{2}x+3$ A) Slope:5 y-intercept:(0, 3). B) Slope:3/2 y-intercept:(0, 3). C) Slope:4 y-intercept:(0, 3/2). D) Slope:1/5 y-intercept:(0, 5). Show Answer Correct Answer: B) Slope:3/2 y-intercept:(0, 3). 3. A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h =-8t$^{2}$ + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps? A) 1 foot. B) 5 feet. C) 7 feet. D) 8 feet. E) 12 feet. Show Answer Correct Answer: D) 8 feet. 4. Does the equation open up or down? Y =-3x$^{2}$ +7x-2 A) Up. B) Down. C) Both. D) Neither. Show Answer Correct Answer: B) Down. 5. You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h =-4t$^{2}$ + 2t models her jump where h is her jump's height in feet t seconds after the mummy scares her. When did she reach her maximum height? A) 0.1 seconds. B) 0.25 seconds. C) 0.50 seconds. D) 1 second. E) 2 seconds. Show Answer Correct Answer: B) 0.25 seconds. 6. PV = nRTsolve for R A) R= pV/nT. B) R= p/n + V/T. C) R= pV-nT. D) R= (pV-n)/T. Show Answer Correct Answer: A) R= pV/nT. 7. Factor x$^{2}$-6x-40 A) (x-10)(x+4). B) (x+10)(x-4). C) (x-8)(x+5). D) (x+8)(x-5). Show Answer Correct Answer: A) (x-10)(x+4). 8. $y=x^2-4x-96$ A) (-8, 0) and (12, 0). B) (-12, 0) and (8, 0). C) (-12, 0). D) (8, 0). Show Answer Correct Answer: A) (-8, 0) and (12, 0). 9. What are the zeros of the function $f\left(x\right)=x^2+8x+12$ A) 6 and 2. B) 8 and 12. C) 4 and 3. D) -6 and-2. Show Answer Correct Answer: D) -6 and-2. 10. Trisha is solving $x^2 + 16x = q$ A) Add 16 to both sides of the equation. B) Subtract q from both sides of the equation. C) Take the square root of q. D) Add 64 to both sides of the equation. Show Answer Correct Answer: D) Add 64 to both sides of the equation. 11. Which quadratic equation can be solved by using the square root method? A) $x^2=64$. B) $4x^2+x=64$. C) $x=64$. D) $x^2=4x+64$. Show Answer Correct Answer: A) $x^2=64$. 12. Convert the intercept form equation y = (x-1)(x-4) to standard form. A) $y=x^2-6x+3$. B) $y=x^2-2x+5$. C) $y=x^2-3x+2$. D) $ y = x^2-5x+4 $. Show Answer Correct Answer: D) $ y = x^2-5x+4 $. 13. $2x^2=8x+3$ $2x^2-8x-3=0$ $x=\frac{8\pm\sqrt{64-4\left(2\right)\left(-3\right)}}{4}$ $x=\frac{8\pm\sqrt{40}}{4}$ $x=\frac{8\pm2\sqrt{10}}{4}$ $x=\frac{4\pm\sqrt{10}}{2}$ A) Suzanne made no errors. B) Step 2. C) Step 3. D) Step 4. E) Step 5. Show Answer Correct Answer: C) Step 3. 14. Why is it important to write the Axis of Symmetry (AOS) asx =-1? A) Because my teacher is picky. B) Because x =-1 is an equation of a line and the AOS is a line. C) Because that is the solution to this quadratic equation. D) Because it helps me remember what axis to graph the horizontal line on. Show Answer Correct Answer: B) Because x =-1 is an equation of a line and the AOS is a line. 15. A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)=-t$^{2}$ + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down? A) 10 feet. B) 19 feet. C) 13 feet. D) 16 feet. Show Answer Correct Answer: B) 19 feet. 16. Choose the best method to solve this quadratic:(a) 3x$^{2 }$-21 = 3 A) A. Square Roots. B) Factoring. C) Completing the Square. D) Quadratic Formula. Show Answer Correct Answer: A) A. Square Roots. 17. What is the nature of roots of a quadratic equation with a discriminant of-4? A) Nonreal. B) Real, rational, & equal. C) Real, rational, & unequal. D) Real, irrational, & unequal. Show Answer Correct Answer: A) Nonreal. 18. What is the vertex for the following quadratic?y = 3(x-5)$^{2}$ + 7 A) (3, -5). B) (3, 7). C) (5, 7). D) (7, -5). E) (-5, 7). Show Answer Correct Answer: C) (5, 7). 19. Find the y-intercept for $y=\left(x-\frac{1}{2}\right)^2-\frac{49}{4}$ A) $\left(-1, 0\right)$. B) $\left(-12, 0\right)$. C) $\left(0, 1\right)$. D) $\left(0, -12\right)$. Show Answer Correct Answer: D) $\left(0, -12\right)$. 20. Solve this equation using factorization3v$^{2}$-4v-7=0 A) V= 7/3 or-1. B) V= 7/3 or 1. C) V=-1/3 or 9. D) V=-1/3 or 10. Show Answer Correct Answer: A) V= 7/3 or-1. 21. $ y = 4x ^ 2-8x + 9 $ A) X =-8. B) X = 1. C) X =-1. D) X = 2. Show Answer Correct Answer: B) X = 1. 22. Solve Using the method of your choice. x$^{2}$ + 4x-40 =-8 A) -10 &-4. B) -4 & 10. C) -8 & 4. D) 8 &-4. Show Answer Correct Answer: C) -8 & 4. 23. Solve the quadratic equation using the square root method. $\left(x+5\right)^2-11=38$ A) -11 and 49. B) -5 and 7. C) 2 and-12. D) 6 and-24. Show Answer Correct Answer: C) 2 and-12. 24. Which parabola would open down? A) F(x)=x$^{2}$. B) F(x)=-x$^{2}$+3x-6. C) F(x) = x$^{2}$-16. D) F (x) = 2x $ ^ {2} $-5x + 70. Show Answer Correct Answer: B) F(x)=-x$^{2}$+3x-6. 25. Solve 4m$^{2}$-100 = 0 A) M=25, -25. B) M=96. C) M=5, -5. D) M=-96. Show Answer Correct Answer: C) M=5, -5. ← 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