This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 4 Quadratic Equations – Quiz 6 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 4 Quadratic Equations Quiz 6 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Factor:18a$^{2}$-15a A) 15 A (3 A-1). B) A (6 a-1). C) H (Sha-5). D) A (smudging). Show Answer Correct Answer: D) A (smudging). 2. Factor Completely:3x$^{2}$ + 18x +15Hint:Factor GCF first. A) 3($^{}$x$^{2}$ + 6x + 5). B) (x + 5)(x + 1). C) 3(x$^{}$ + 5)(x + 1). D) Prime. Show Answer Correct Answer: C) 3(x$^{}$ + 5)(x + 1). 3. If the discriminant is negative, then the quadratic has: A) 1 Real Solution. B) 2 Real Solutions. C) Half a Solution. D) 2 Imaginary Solutions. Show Answer Correct Answer: D) 2 Imaginary Solutions. 4. $f\left(x\right)=6\left(\frac{1}{3}\right)^x+2$ A) X = 2. B) Y = 0. C) Y = 2. D) X = 0. Show Answer Correct Answer: C) Y = 2. 5. What is the end behavior of the polynomial equation:2x$^{ 3 }$ + 3x-6x$^{ 4 }$-5x$^{ 2}$ A) Left:up, right:up. B) Left:up, right:down. C) Left:down, right:up. D) Left:down, right:down. Show Answer Correct Answer: D) Left:down, right:down. 6. In the equation f(x)=5(x+3)$^{2}$-10 what effect does the 5 do when compared to the parent function? A) Vertical stretch by a factor of 5. B) Vertical shrink/compress by a factor of 5. C) Reflect over x-axis. D) Vertical shift up 5 units. Show Answer Correct Answer: A) Vertical stretch by a factor of 5. 7. $y=x^2+6x-9$ A) (0, 6). B) (-3, -18). C) (6, 0). D) (0, -9). Show Answer Correct Answer: D) (0, -9). 8. Determine the vertex of the parabola:y = 5x$^{2 }$-20x + 13 A) (5, -7). B) (-2, -7). C) (2, -7). D) (-7, -2). Show Answer Correct Answer: C) (2, -7). 9. What form is f(x)=(x-1)$^{2}$-5 A) Factored Form. B) Vertex Form. C) Standard Form. D) None of the above. Show Answer Correct Answer: B) Vertex Form. 10. How did we transform from the parent function?y = x$^{2}$ + 2 A) Horizontal shift up. B) Vertical shift up. C) Horizontal shift down. D) Vertical shift down. Show Answer Correct Answer: B) Vertical shift up. 11. What is the significance of the discriminant in a quadratic equation? A) It indicates the number of solutions:if > 0, two solutions; if = 0, one solution; if < 0, no solutions. B) It determines the slope of the quadratic function. C) It indicates the maximum value of the quadratic function. D) It shows the symmetry of the quadratic graph. Show Answer Correct Answer: A) It indicates the number of solutions:if > 0, two solutions; if = 0, one solution; if < 0, no solutions. 12. What is the vertex for the following quadratic?y = 5(x-2)$^{2}$ + 9 A) (-2, 9). B) (-2, 5). C) (5, 2). D) (2, 9). E) (5, 9). Show Answer Correct Answer: D) (2, 9). 13. What is the definition of an axis of symmetry? A) The mirror line in a quadratic. B) Place where the curve changes direction. C) Place where the curve crosses the x axis. D) Place where the curve crosses the y axis. Show Answer Correct Answer: A) The mirror line in a quadratic. 14. The discriminant is 24. How many solutions are there? A) 2. B) 1. C) 0. D) None of the above. Show Answer Correct Answer: A) 2. 15. Factor x$^{2}$-11x+24 A) (x-3)(x-8). B) (x-2)(x-12). C) (x+3)(x+8). D) (x+2)(x+12). Show Answer Correct Answer: A) (x-3)(x-8). 16. When factoring x$^{2}$-4x + 4 = 20, what goes in the blank?(x- ..... )$^{2}$ = 20 A) 4. B) 2. C) 8. D) 20. Show Answer Correct Answer: B) 2. 17. A lizard is jumping across the water in search of food. The equation h =-12t$^{2}$ + 6t models the lizard's height in feet above the water t seconds after he jumps. How long after jumping is he back on the water? A) 0.1 seconds. B) 0.25 seconds. C) 0.50 seconds. D) 0.75 seconds. E) 1 second. Show Answer Correct Answer: C) 0.50 seconds. 18. Find the Vertex:y = x$^{2}$ + 6x + 2 A) (-3, -7). B) (1, 6). C) (6, 2). D) No Real Solution. Show Answer Correct Answer: A) (-3, -7). 19. At what time would you reach 16 ft above the water if you jump of a cliff using the formula:h =-16t$^{2}$ + 8t + 24? A) 8. B) 1. C) 1/2. D) 1/4. Show Answer Correct Answer: B) 1. 20. To solve by completing the square, what needs to be moved in this equation?x$^{2}$ = 9-4x A) The-4x. B) The 9. C) The x$^{2}$. D) None of the above. Show Answer Correct Answer: A) The-4x. 21. Write the vertex form equation of a quadratic with the vertex (2, 4) and contains the point (3, 6) A) Y =-2 (x+2) $^{2} $-4. B) Y = 2 (x-2) $^{2} $+4. C) Y = 2 (x+4) $^{2} $-2. D) Y =-2 (x-4) $^{2} $+2. Show Answer Correct Answer: B) Y = 2 (x-2) $^{2} $+4. 22. If given the equation y = 3(x + 5)$^{2}$-4, what is the vertex of the parabola? A) (5, -4). B) (-5, -4). C) (-15, -4). D) (15, -4). Show Answer Correct Answer: B) (-5, -4). 23. Which of the following shows f(x) = x$^{2}$-8x + 1 written in vertex form? A) F(x) = (x-4)$^{2}$-15. B) F(x) = (x-4)$^{2}$ + 17. C) F(x) = (x-4)$^{2}$-17. D) F(x) = (x-4)$^{2}$ + 65. Show Answer Correct Answer: A) F(x) = (x-4)$^{2}$-15. 24. What is the sum of roots (SOR) and product of roots (POR) for equation of x$^{2}$ + 5x + 6 = 0? A) Sor = 5, by = 6. B) Sor =-5, by =-6. C) Sor = 5, by =-6. D) Sor =-5, by = 6. Show Answer Correct Answer: D) Sor =-5, by = 6. 25. Find the DISCRIMINANT of $3x^2-6x-11=0$ A) 168; Real, Unequal, Irrational. B) -96; Imaginary, Unequal. C) 138; Real, Unequal, Irrational. D) 0; Real and Equal. Show Answer Correct Answer: A) 168; Real, Unequal, Irrational. ← 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 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