Linear with Rationals Worksheets Grade 9

1. 3(2x - 5) + 4(x + 3) = 7x - 2
2. A rectangular prism is drawn on a coordinate plane with vertices at (0,0,0), (x,0,0), (0,2x,0), (0,0,3), (x,2x,0), (x,0,3), (0,2x,3), and (x,2x,3). The volume of the prism is 150 cubic units. Find the value of x.
3. A physics class is studying projectile motion. The height h (in meters) of a ball thrown upward is given by the function h(t) = -5t² + 20t + 1.5, where t is time in seconds. At what time does the ball reach its maximum height?

…and 6 more problems

1. Liam is designing a rectangular garden where the length is 3 meters more than twice the width. The area of the garden must be 65 square meters to accommodate his vegetable plants. What is the width of Liam's garden?
2. 2(x + 3) - 5 = 3(x - 1) + 4 = ?
3. 2(x - 3) + 4(x + 1) = 3(2x - 1) + 5 = ?

…and 6 more problems

1. Aroha is mixing a chemical solution for an experiment. She needs to create 15 liters of a mixture that is 35% acid. She has two solutions available: one that is 20% acid and another that is 50% acid. How many liters of the 50% acid solution should she use?
2. Liam is designing a rectangular garden with a length that is 3 meters more than twice its width. The area of the garden must be exactly 65 square meters. What are the dimensions of Liam's garden?
3. 2(x - 3)/5 + (x + 4)/3 = 7

…and 4 more problems