Solving Quadratic Equations: Completing the Square — Unit test Answers

Which function has real zeros at x = −10 and x = −6?

The function g(x) is defined as g(x) = 6x2 + 23x – 4. When does g(x) = 0?

Between which two ordered pairs does the graph of f(x) = x2 + x – 9 cross the negative x-axis?Quadratic formula: x =

Two sandboxes with the same area are shown.The equation represents the area of Sandbox 2 in terms of its width.

The product of two consecutive integers is 272. Which quadratic equation can be used to find x, the smaller number?

Using the Completing the Square method, what are the zeros of the quadratic function f(x) = 2x2 + 8x – 3?

The first three steps in determining the solution set of the system of equations algebraically are shown in the table.y = −x2 +2x − 9 y = −6x + 6

Which graph shows a system of equations with a solution at (2, –1)?

An architect designs a diagonal path across a rectangular patio. The path is 29 meters long. The width of the patio is x meters, and the length of the path is 5 meters more than the width.

The first two steps in determining the solution set of the system of equations, y = –x2 + 4x + 12 and y = –3x + 24, algebraically are shown in the table. Which represents the solution(s) of this system of equations?

Two numbers are 10 units away in different directions from their midpoint, m, on a number line. The product of the numbers is –99.