Quadratic by Factoring Worksheets Grade 9

1. A physics class is designing a model rocket launch. The rocket's height above ground is modeled by the equation h(t) = -5t² + 40t + 20, where h is height in meters and t is time in seconds after launch. At what time will the rocket hit the ground?
2. x² - 8x - 33 = 0
3. A right triangle is drawn on a coordinate plane with vertices at (0,0), (x,0), and (0,x+5). The area of this triangle is 42 square units. Write a quadratic equation in standard form that represents this situation, then solve for x by factoring.

…and 5 more problems

1. x² - 8x - 48 = 0
2. x² - 14x + 48 = 0
3. Noah is designing a rectangular skateboard ramp. The area of the ramp's surface is 66 square feet. The length of the ramp is 5 feet more than its width. What are the dimensions of the ramp in feet?

…and 5 more problems

1. A right triangle is drawn on a coordinate plane with vertices at (0,0), (x,0), and (0,x+5). The area of the triangle is 42 square units. Write a quadratic equation in standard form that represents this situation and solve for x by factoring.
2. A technology company is designing a new smartphone with a rectangular screen. The screen's area is 96 square centimeters, and its length is 4 centimeters greater than its width. The engineers need to calculate the exact dimensions of the screen for manufacturing. What are the width and length of the screen in centimeters?
3. x² + 13x + 42 = 0

…and 3 more problems