Systems of Equations Worksheets Grade 8

1. Hana is helping to organize a school book fair. She needs to order paperback books and hardcover books. Each paperback costs $11 and each hardcover costs $18. The total number of books ordered is 42, and the total cost is $588. How many paperback books and how many hardcover books did Hana order?
2. 5x + 2y = 24; 3x - 2y = 8
3. Aroha and Tane are helping to organize a school cultural festival. They are selling two types of woven flax bags: small ones for $12 each and large ones for $18 each. At the end of the day, they sold a total of 45 bags and collected exactly $660. How many small bags and how many large bags did they sell?

…and 5 more problems

1. Emma is in charge of buying snacks for the school movie night. She needs to buy bags of popcorn and boxes of candy. Each bag of popcorn costs $3, and each box of candy costs $5. Emma buys a total of 21 items and spends exactly $79. How many bags of popcorn and how many boxes of candy did she buy?
2. Matiu is designing a kite on a coordinate grid. The kite is a quadrilateral with vertices at (2, 18), (14, 26), (26, 18), and (14, 10). He wants to add a decorative string that runs in a straight line from the midpoint of the top edge (connecting (2,18) to (14,26)) to the midpoint of the bottom edge (connecting (14,10) to (26,18)). Another string runs along the vertical line x = 14. At what coordinates do these two strings intersect?
3. Noah is in charge of ordering sandwiches and salads for a school picnic. Each sandwich costs $6 and each salad costs $11. He orders a total of 26 items and spends exactly $206. How many sandwiches and how many salads did Noah order?

…and 4 more problems

1. On a coordinate grid, a rectangular park is drawn with corners at (1, 1), (9, 1), (9, 7), and (1, 7). Two straight walking paths are planned inside the park. The first path goes from the midpoint of the left side (from (1,1) to (1,7)) to the midpoint of the right side (from (9,1) to (9,7)). The second path goes from the midpoint of the bottom side (from (1,1) to (9,1)) to the midpoint of the top side (from (1,7) to (9,7)). Find the coordinates of the point where these two paths intersect.
2. 2x + 3y = 19; 5x - 2y = 14
3. Olivia is selling tickets for the school play. Adult tickets cost $7 each and student tickets cost $5 each. She sold 35 tickets in total and collected $203. How many adult tickets and how many student tickets did she sell?

…and 4 more problems