Rational Coefficient Equations Worksheets Grade 7

1. A rectangular swimming pool is drawn on a coordinate plane with corners at (0, 0), (20, 0), (20, 12), and (0, 12). A triangular diving area is marked inside the pool with vertices at (0, 0), (8, 0), and (0, 6). What is the area of the swimming pool that is NOT part of the diving area? (Each unit on the grid represents 1 meter.)
2. Olivia is saving money to buy a new bicycle that costs $350. She has already saved $80. She plans to earn the rest by walking dogs in her neighborhood. She charges $12.50 per dog walk. After walking some dogs, she still needs $45 more. How many dogs has Olivia walked so far?
3. 3/4 × 16 + 2/3 × 15 = ?

…and 5 more problems

1. Aroha is building a wooden bookshelf. She has a plank that is 7.25 meters long. She cuts off 0.5 meters for waste, then cuts the remaining plank into pieces that are each 3/4 of a meter long to use as shelves. After cutting as many shelves as possible, she has a small leftover piece. How many shelves does Aroha make?
2. Mere is saving money to buy a new laptop that costs $1,200. She has already saved $180. Each week, she saves 2/3 of her weekly allowance. Her weekly allowance is $45. How many more weeks will it take Mere to save enough money to buy the laptop?
3. A triangular garden is drawn on a coordinate plane with vertices at (0, 0), (9, 0), and (0, 7). Each unit on the grid represents 1 meter. A path with a width of 0.5 meters is to be built along the entire base of the triangle from (0, 0) to (9, 0). If the area of the path is given by 0.5 * base, and the remaining garden area must be at least 25 square meters, what is the value of x in the equation 0.5 * (9 - x) * 7 = 25, where x represents the number of meters of base covered by the path? Solve for x.

…and 4 more problems

1. A school is planning a field trip and needs to rent buses. Each bus can hold 42 students. If 315 students are going on the trip, how many buses are needed? Remember that you can't have a fraction of a bus.
2. Noah is designing a rectangular garden on a coordinate grid where each unit represents 1 meter. The garden has corners at (0, 0), (18, 0), (18, 14), and (0, 14). Inside the garden, a triangular flower bed is drawn with vertices at (0, 0), (18, 0), and (0, 14). If Noah wants to plant grass in the rectangular garden but NOT in the triangular flower bed, what is the area of the grassy region in square meters?
3. Hana is saving money to buy a new laptop that costs $1,200. She has already saved $360. Her grandmother gives her a gift of $150, and then Hana decides to save 2/3 of her remaining weekly allowance until she reaches her goal. If her weekly allowance is $45, how many weeks will it take Hana to save enough money for the laptop after receiving her grandmother's gift?

…and 5 more problems