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The quadratic expression x2 - 3x - 10 can be factored into (x - 5)(x + 2), which ordered pairs represent the zeros of this expression's related quadratic function? (-5, 0) and (2, 0) (-5, 0) and (-2, 0) (0, -5) and (0, 2) (5, 0) and (-2, 0) (-10, 0) and (1, 0) (0, 5) and (0, -2) (10, 0) and (-1, 0) The zeros of a quadratic function are 2 and 9. To which factored quadratic expression is this function related? (x - 2)(x + 9) (x + 2)(x + 9) (x + 2)(x - 9) (x - 2)(x - 9) (-x - 2)(-x - 9) (x2 - 2)(x2 - 9) The real solutions of a quadratic equation are 6 and -4. Which quadratic function is related to this equation? x2 - 10x - 24 x2 + 10x - 24 x2 - 10x + 24 x2 - 2x + 24 x2 - 2x - 24 x2 + 2x - 24 Factor the quadratic function f(x) = 2x2 + 3x - 14 to determinethe zeros of the function. x = 7/2 and x = 2 x = 7/2 and x =-2 x = - 1/2 and x = 1 x = 7 and x = -2 x = - 7/2 and x = 2 x = - 7/2 and x = -2 Consider the following equation. Select the option that contains the solutions to the equation. x2 - 6x = -7 3±√7 -3±√7 3±i√2 3±√2 -3±√2 1 and 7 Select the equation that is equivalent to x2 - 10x + 28 = 0 (x - 14)2 = -14 (x - 5)2 = 3 (x - 5)2 = -3 (x + 14)2 = -14 (x + 5)2 = -3 (x - 10)2 = -18 (x + 10)2 = -18 (x - 28)2 = 56 What are the solutions for the quadratic equation x2 - 5x - 50 = 0 -5, -10 -5, 10 √5, √10 5, 10 5, -10 -√5, √10 -√5, -√10 Katkat solved the equation below by completing the square. Which of the following is the MOST efficient first step to create an equation with the same solution? x2 - 18x + 9 = -7 + 9 x2 - 18x - 9 = -7 - 9 x2 - 18x - 81 = -7 - 81 x2 - 18x + 81 = -7 - 81 x2 - 18x + 81 = -7 + 81 x2 - 18x = -7 What is the solution for x in the equation -16 + 25x2 = 0 x = ± 1/4 x = ± 5/4 x = ± 5/8 x = ± 4/5 x = ± 8/5 x = ± 16/25 Which of the following values of x are solutions to x2 + 5x = -6? Select two that apply. -2 - 1 0 -3 3 2 -6 6 Which of the following values for x are solutions to the equation 2x2 - 3x + 1 = 0? Select two that apply. 1/2 2 -1/2 1 0 -1 -2 What are all values of x for which x(x - 10) = 0? x = 10 only x = -10 only x = 0 and x = -10 x = 0 and x = 10 x = 5 and x = -5 only x = 0, x = 10 and x = -10 x = 0, x = 5 and x = -5 only The graph of a quadratic equation is shown below. Which function matches this graph? -x2 - 6x + 7 -x2 - 8x - 7 x2 - 6x + 7 x2 + 8x - 7 -x2 + 8x + 7 x2 + 8x + 7 - x2 + 6x - 7 . . . . . . . . Identify the following and graph it on a graphing paper. The equation y = (x + 3)(x - 5). defines a function. x - intercepts: y - intercept: Vertex: axis of symmetry: Opening: write answer in ordered pair ex. (5, -99) upward or downward example y = -4 example x = -4 example x = -4 x = 5 |