Solving Quadratic Equations: Square Root Property — Unit test Answers

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

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

What are the solutions to the quadratic equation 4(x + 2)2 = 36

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 equation has an a-value of –2, a b-value of 1, and a c-value of 3?

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

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.

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

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.y = x2 + 5x + 10y + 5x = x2 + 10 + 4x – 100 = x2 – 9x0 = x2 – 9x + 20One x-value of a solution to the system is 4.

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has?

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?

Which is the graph of a quadratic equation that has a negative discriminant?

What are the solutions to m2 – 9 = 0?

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

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