Modeling with Quadratic Equations — Unit test Answers

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

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

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

A rectangle’s length is 5 inches more than twice its width. Its area is 50 square inches. Which equation can be used to find its width, w?

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?

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

What are the solutions to m2 – 9 = 0?

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

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?

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