Systems of Equations Worksheets Grade 8

1. 2x + 3y = 19; 4x - y = 17
2. 7x + 2y = 27; 2x - 7y = -22. Solve for x and y.
3. Emma is organizing a school art show and needs to frame her artwork. She has two types of frames: small frames that cost $4 each and large frames that cost $7 each. She bought a total of 15 frames and spent exactly $90. How many small frames and how many large frames did Emma buy?

…and 5 more problems

1. A rectangular garden is drawn on a coordinate plane. The garden's corners are at points (2, 1), (8, 1), (8, 5), and (2, 5). A diagonal path is drawn from corner (2, 1) to corner (8, 5). Find the point where this diagonal path intersects a vertical line drawn through x = 5. What are the coordinates of this intersection point?
2. 3x + 2y = 16; 2x - y = 6
3. 3x + 2y = 16; 2x - y = 1

…and 5 more problems

1. Hana is helping to organize the school's sports equipment. She needs to order basketballs and soccer balls. Each basketball costs $24 and each soccer ball costs $18. Hana has a total budget of $360 for balls. She also needs to order exactly 6 more soccer balls than basketballs so that there are enough for the teams. How many basketballs and how many soccer balls should Hana order to spend exactly her budget and meet the requirement?
2. 2x + 3y = 12; x - y = 1; x = ?
3. A triangular garden is drawn on a coordinate plane with vertices at (1, 2), (5, 6), and (9, 2). A straight path is planned that connects the midpoint of the left side (from (1,2) to (5,6)) to the midpoint of the base (from (1,2) to (9,2)). Find the coordinates of the point where this path intersects with a vertical line drawn through x = 4.

…and 4 more problems