a. -5 and - 8 c. -5 and 8 Instructions. Write ABCD if the equation shown is a quadratic equation, WXYZ if the equation shown is not a quadratic equation. b. 5 and - 8 d. 5 and 8 1, 3x + 36 6 15x + 8x- 24x" + 10 7. x1 - 16 7. Solve for x in the equation x2 + x = 12 by factoring 3. x4 4 4x - 12 8. (x - 4) - 9 1 6 and - 2 c. -4 and-3 4 2x3 + 128y 9. 6y + 8 b. --3 and -4 1 -2 and 6 5. 4x3 + 17x - 15 10. 2x3- 16 8. By factoring the equation x? + 6x = 16, the roots are? Instructions: Read the questions carefully and write your answers on the blank a. B and - 2 c. -B and - 2 provided. b. -B and 2 d. 8 and 2 1. Given the quadratic equation x3+ 6x - 40 = 0, what are the numerical coefficients c ponding to the standard quadratic equation ax + bx + 12x - 16 =0. _9. Complete the square and solve for the roots of the equation 4x* + C = 07 c. a = 1:b =6;0= -40 a Band - 2 ad=1:5=6; c = 40 c. 4 and - 1 b. a = 0;b = 6:c = 40 d. a =0;b=-6;c = 40 b. -4 and 1 d -B and 2 2. Transform the quadratic equation (x - 10) - 48 = 0 to ax + bx + 10. By completing the square, find the roots of x3 + 121 = 22x. C=0. a. 9 and - 9 c. 11 and 11 a. x' + 10x - 48 c. x3 + 20x + 48 =0 b. 12 and - 12 d. 8 and 13 b. x2 - 20x + 52 = 0 d 10x2 - 20x + 52 = 0 _11. Find the solutions of the following equation by completing the 3. Solve for x by extracting the square roots: x = 256 square: x3- 5x = 14 a 14 and - 14 c. 16 and - 16 a. 7 and - 2 c. 7 and 2 b. 23 and - 23 d. 18 and - 18 b. -7 and 2 d. -7 and - 2 4. Solve for the roots of the equation 2x2 = 162 by extracting square 12. In the equation 2x3 - 2x - 12 = 0, the values of x are? roots. a. -6 and 2 b. -3 and 4 c. -4 and 3 a. 7and - 7 c. 9 and - 11 d. -2 and 3 b. 9 and - 9 d, 11 and - 11 13. In the equation x + 18x + 81 = 0, the roots are? 5. Solve for x by extracting square roots 3x* + 7 = 250. a Band - 8 a. 7 and - 7 c. 11 and - 11 b. 9 and - c. 9 and 8 d. 9 and 9 b, 9 and - 9 d. 12 and - 12 14. In the equation x? - 2x = 7, the solutions are? 6. By factoring, find the solutions of the following equation x- 3x a. 1 + v8 and 1 40 = 0. b. 3 + VB and 3 - v8 c1+ v6 and 1 - v6 d. 2 + v8 and 2 - ve 15. Which equation has irrational and unequal roots? 2 x - 4145=0 x' + 10x + 25 = 0 c. x + 16: +15 = 0 d. x* + 12x - 7 2 0 two numbers? 60 = 1- X9 is greater than 0? a. 5 and 7 b. -5 and -7 a. Two ier a. 1 real root b. 2 real roots t is 0. Which stark b. No real roots number and type of roots for 3x2 - 6x + 2 = 07 roots are real and irrational roots are real and irrational. 23. Express # + 2in simplest form. _24. Which of the following rational algebraic equations is transformable c. Sum of roots= -2, Product of roots = 3 a. Sum of roots = 2; product of roots = 3 b. Sum of roots = -2, product of roots = 1/3 d. Sum of roots = -2; product of roots = -1/3 to a quadratic equation? 6 2 3 20. The product of the roots of quadratic equation is. 9. The sum of the roots of a quadratic equation is? rich statement best describes its roots? c. Since the discriminant is less than 0, the roots are nonreal. _21, What is the sum and product of roots for this equation: -3x2- d. Since the discriminant is equal to O. the roots are equal and real, 22. The sum of two numbers is 12 and their product is 35. What are the 18. Find the value of the discriminant How will you describe the 16. The coefficients of a quadratic equation are all integers The a. Since the discriminant is greater than O and is a perfect square, the _25. Which of the following equations have extraneous roots or b. Since the discriminant is greater than O and is not a perfect square, the _17. How many roots are there if the discriminant of a quadratic equation c. -5 and 7 solutions? 1, Zyl + y= -11 35-=6+2 d. 2(3x] - 1) = 11x 5 P D= P d no solutions c. 3 real roots c. One rational Root d. Two rational roots