Formula Rearrangement Worksheets Grade 9

1. Solve for x: 7(x - 9)² - 112 = 0
2. Liam is designing a rectangular garden with a perimeter of 48 meters. He wants the length to be 6 meters more than twice the width. Write an equation to find the width of the garden, then solve for the width.
3. Aroha is designing a rectangular prism-shaped fish tank with a volume of 1728 cubic inches. The length of the tank is 16 inches, and the width is 9 inches. She needs to find the height of the tank. Write the formula for the volume of a rectangular prism, rearrange it to solve for height, and then calculate the height.

…and 5 more problems

1. Solve for r: V = (4/3)πr³
2. Liam is designing a rectangular garden with an area of 120 square meters. The length of the garden is 4 meters more than its width. Write an equation in terms of the width w that represents this situation, then solve for w to find the garden's dimensions.
3. Liam is designing a rectangular garden with a perimeter of 40 meters. He wants the length to be 4 meters more than twice the width. Write an equation for the perimeter in terms of the width, then solve to find the dimensions of Liam's garden.

…and 5 more problems

1. Aisha is designing a triangular support structure for a bridge. The area of the triangular section is 84 square meters, and the base is 7 meters longer than the height. Write an equation in terms of the height h that represents this situation, then solve for the height of the triangular section.
2. Solve for h: V = 2πr² + 2πrh
3. The formula for the volume of a sphere is V = (4/3)πr³. If a sphere has a volume of 288π cubic centimeters, what is its radius in centimeters?

…and 5 more problems