a. (-3,37) 29. Given the function f(x) = 2x2 + 3x - 5, what is its axis of symmetry? b. (2.37) c. (-4- 37) 30. Candy wants you to help her to find the discriminant and nature of the roots of the equation 6x2 = 4x - 10. What is the correct solution to this problem? a. 244; real, irrational, unequal b. -244; imaginary C. 100; real, rational, unequal d. 0; real, rational, equal 31. Use the table to find the y and x - intercepts. Input (x) Output (y) 0 -4 0 a. x intercept: (0, -4) c. x intercept: (6, 0) y intercept: (6, 0) y intercept: ( 0, -4) b. x intercept: (0, -4) c. x intercept: (1, 5) y intercept: (1, 5) y intercept: ( 0, -4) C. 32. If the equation has the values of a = 5, b = - 6 , and c = 10. Which of the following equation fits the given values of a, b, and c ? a. 5x2 + 10 = -6x C. -6x + 10 = 5x2 b. 5x2 - 6x - 10 = 0 d. 10 - 6x + 5x2 = 0 33. How quadratic inequality differs from quadratic equation? a. Quadratic equation is the same as quadratic inequality b. They are both quadratic in nature but an equation preserves equality but an inequality does not. c. They are similar because their highest exponent is 2 d. Quadratic equation is in the form ax2 + bx + c > 0 while quadratic inequality is in the form ax2 + bx + c = 0 34. What is the solution(s) to the equation x2 - 5x + 1 ? a. x = -5-V21 -5+V21 C. x = 5-V21 5+V21 2 b. X = 1, x = 5 d. x = - 5, x = 1 35. Solve the quadratic inequality x2 - x - 12 > 0. Express your answer in the interval notation. a. (-00, 3) (-4, 00) C. (-00, -3) (4, 00) b. (-00, -4) (3, 00 ) d. (-00, 4), (-3, 00 ) 36. What is the first consideration when solving equation by factoring? a. Identify the values of a, b, and c b. Isolate the unknown variable on the left side of the equation c. Turn the equation into ax2 + bx + c = 0 d. Get the factors of the first and last terms 37. A rectangular field has a perimeter of 100 ft. It has an area of at least 600 ft2. Which of the following inequality fits the given problem? a. 12 + 501 + 600 2 0 c. 12 - 501 + 600 2 0 b. 12 + 501 - 600 2 0 d. 12 - 501 - 600 2 0 38.Which of the following roots is the solution of this inequality x2 - 9x + 20 2 0 a. {x/x=4} c. {54} b. {x/X E real numbers} d. {x/X E negative numbers } 39. The sum of the two numbers is 15. And the product of the two numbers is 50. What are the factors of equation formulated from this problem? a. (x - 10) (x + 5) = 0 c. (x - 5) (x + 10) = 0 b. (x - 10) (x - 5) = 0 d. (x + 5) (x + 10) = 021. Which of the following equation(s) is transformable to quadratic equation? a. -2=5 b. *+3 _3 - 5 C. *+3 _3 = 5d. both a&b 22. Given the table of values, determine the equation of the quadratic function. X 4x X -3 -2 -1 y -18 -8 -2 0 -2 a. y = = Cy= =x'tex+5 b. y=x d. y = ;x +-x-5 23. Are the critical points of this inequality /2 - 50/+ 600 > 0 is included or not? a. Yes, because if we evaluate it will result to true equation b. No, they are not part of the solution c. No, because they are not negative number d. Yes, because they are positive number 24. Turn the given rational equation into quadratic equation: Sx * = 2 a. 10x2 + 8x + 8 = 0 c. 10x2 - 8x + 8 = 0 b. -10x2 - 8x - 8 = 0 d. - 10x2 + 8x - 8 = 0 25. In the function: f(x) = a (x - h)2 + k, what letter of this function is the basis in determining the direction of opening of the parabola? a. x b. h C. k d. a 26. Which of the following illustrates quadratic inequality? a. x2 (x-12) > 17 c. 2x + 3y