Rational Coefficient Equations Worksheets Grade 7

1. Liam is designing a rectangular garden with a length that is 3/4 of its width. If the perimeter of the garden is 42 meters, what is the area of the garden in square meters?
2. Noah is saving money to buy a new video game console that costs $248. He already has $61 saved. He plans to mow lawns in his neighborhood for $15.50 per lawn. After mowing a certain number of lawns, he will have exactly enough money to buy the console. How many lawns does Noah need to mow?
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 4 more problems

1. Mere is designing a rectangular garden on a coordinate grid. The garden has corners at (0, 0), (24, 0), (24, 16), and (0, 16). She plans to plant a row of flowers along a line from the bottom-left corner (0, 0) to a point on the top edge at (12, 16). This line divides the garden into two sections. The equation of the line is y = (4/3)x. If Mere wants to place a decorative stone at the point where x = 9, what is the y-coordinate of that point on the line?
2. (3/7)x - 9 = (1/3)x + 5 = ?
3. Emma is drawing a rectangular garden on a coordinate grid, where each unit represents 1 meter. The garden has corners at (0, 0), (30, 0), (30, 20), and (0, 20). She wants to place a diagonal path from (0, 0) to (30, 20). The length of the path is given by the equation 0.5x + 5 = 20, where x represents the length of the path in meters. What is the length of the diagonal path?

…and 4 more problems

1. Aroha is sewing a quilt and needs a total of 2.5 meters of fabric. She already has 0.75 meters. The rest she will buy in pieces that are each 0.35 meters long. How many pieces does Aroha need to buy?
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)x - 7 = 5

…and 5 more problems