Create Equations Worksheets Grade 9

1. Emma is designing a rectangular banner. The length is (2x + 5) cm and the width is x cm. If the perimeter is 150 cm, write an equation to find x.
2. Isabella is designing a rectangular garden with a perimeter of 68 feet. The length is 4x + 5 feet and the width is 2x - 3 feet. Write an equation to find x.
3. Tane is building a rectangular enclosure for his sheep. The length of the enclosure is 7 meters more than three times the width. If the perimeter of the enclosure is 174 meters, write an equation to represent this situation and solve for the width of the enclosure.

…and 6 more problems

1. Aroha is designing a rectangular banner with perimeter 120 cm. The length is 4x + 6 cm and the width is 2x - 4 cm. Write an equation for x.
2. Mason is designing a rectangular garden. The length of the garden is 7 meters more than the width. The area of the garden is 294 square meters. Write an equation to find the width of the garden.
3. A rectangular prism has a length that is 9 cm longer than its width, and a height that is half its width. The volume of the prism is 972 cubic centimeters. Write an equation in one variable to represent this situation, using x for the width of the prism.

…and 4 more problems

1. A technology company is modeling the growth of its user base. The number of users U(t) after t months is given by the exponential function U(t) = 1200 × 2^(t/6). How many months will it take for the user base to reach 19,200 users?
2. Noah is saving money to buy a new laptop that costs $1,216. He currently has $256 saved and plans to save $48 each week from his part-time job. Write an equation to represent the number of weeks (w) Noah needs to save before he can afford the laptop, then determine how many weeks it will take.
3. A company's profit in thousands of dollars is modeled by the function P(t) = 2t^2 - 12t + 16, where t is the number of years after 2020. During what year will the company's profit reach its minimum value?

…and 5 more problems