Solving Quadratic Equations: Completing the Square — Unit test Answers

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Select two options.

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

Mischa wrote the quadratic equation 0=-x2+4x-7 in standard form. If a = -1, what is the value of c in her equation?

What is a solution to (x + 6)(x + 2) = 60?

What is the value of the discriminant of the quadratic equation −2x2 = −8x + 8, and what does its value mean about the number of real number solutions the equation has?

A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this equation?

Solve x2 − 24x = −80 by completing the square.What is the solution set of the equation?

Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = –6. Which function could Heather be writing?

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

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

What values of b satisfy 4(3b + 2)2 = 64?

Which is a solution to the equation?(x − 3)(x − 5) = 35

Clara writes the equation (x – 13)(x + 8) = 196 to solve for the missing side length of a rectangle represented by the factor x + 8. What is the missing side length represented by x + 8 units of the rectangle?

Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation (x + 2)2 = 121, x represents the side measure of the cropped photo.