Modeling with Quadratic Equations — Test Answers

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

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

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?

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

The first few steps in solving the quadratic equation 5x2 + 27x = 14 − 13x by completing the square are shown.5x2 + 27x = 14 − 13x5x2 + 40x = 145(x2 + 8x) = 14

Mariya is solving the quadratic equation by completing the square.4x2-20x+3=04x2-20x=-3A(x2-5x)=-3

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?

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

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

Louis used a quadratic equation to model the height, y, of a falling object x seconds after it is dropped. Which ordered pair generated by this model should be discarded because the values are unreasonable?

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

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.

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

Solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation?