Quadratic Equation Area Problems

Translate: The square of a number is one hundred fifty more than five times a number.

• x² = 5x + 150

• x² = 5x + 50

• 2x = 5x + 150

• x² = 5x + 15

Calista is painting a new picture. The height (H) of the frame is 2 inches taller than it is wide (W). If the area of her picture is 35 in², which equation represents the area?

• 35 = (W)(2+W)

• 35 = (H)(2+H)

• W = 35 + 2

• H = 35 + 2

Calista is painting a new picture. The following equation represents the area. 35 = (W)(2 + W). Which equation is equivilant?

• W² - 2W - 35 = 0

• W² + 2W - 35 = 0

• W² + 2W + 35 = 0

• W² - 2W + 35 = 0

The width of a classroom is 2m less than the length, and the area is 180m². Identify the correct equation.

• x² - 2 = 180

• x(x - 2) = 180

• x(x - 2) + 180 = 0

• x² - 2x = 0

• A

• B

• C

• D

Answer to part c is....

16 seconds

10 seconds

8 seconds 

14 seconds

• 16 seconds

• 10 seconds

• 8 seconds 

• 14 seconds

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. When does the rocket hit the ground?

• 7 seconds

• 6 seconds

• 3 seconds

• 8 seconds

What is the equation that is also called second degree equation?

• Cubic Equation

• Linear Equation

• Polynomial Equation

• Quadratic Equation

Fill in the blank: Area as a product is the _____ of the quadratic equation.

• Area Model

• Standard Form

• Factored Form

• Sum