Systems Word Problems Worksheets Grade 8

1. 2x + 3y = 19 and 4x - 2y = 18, find x and y
2. Emma is planning a school science fair and needs to buy materials for two different experiments. For the first experiment, she needs to buy test tubes that cost $4 each. For the second experiment, she needs to buy beakers that cost $6 each. Her total budget for these materials is $180, and she needs a total of 35 items. How many test tubes and how many beakers should Emma buy to spend exactly her budget and get exactly 35 items?
3. 2x + 3y = 12 and 4x - y = 10, find x and y

…and 4 more problems

1. A science class is growing bacteria in two different petri dishes. Dish A starts with 8,000 bacteria and grows at a rate of 400 bacteria per hour. Dish B starts with 2,000 bacteria and grows at a rate of 800 bacteria per hour. After how many hours will both dishes contain the same number of bacteria?
2. Hana is helping organize a school art exhibition. She needs to order two types of display boards: large boards that cost $14 each and small boards that cost $9 each. Her total budget for boards is $410, and she needs exactly 35 boards in total to display all the artwork. How many large boards and how many small boards should Hana order to use her entire budget and get exactly 35 boards?
3. Liam is planning a school fundraiser and needs to buy supplies. He can purchase markers for $2 each and notebooks for $3 each. He has a budget of $120 and needs exactly 50 items total. How many markers and how many notebooks should Liam buy to spend exactly his budget and get exactly 50 items?

…and 4 more problems

1. Emma is helping her school's debate team raise money by selling two types of gift baskets. A small basket contains 3 chocolates and costs $7, while a large basket contains 5 chocolates and costs $11. The team sold a total of 31 baskets and collected $265. How many small baskets and how many large baskets did they sell?
2. Charlotte and Isabella are selling cookies for a fundraiser. Charlotte sells boxes of chocolate chip cookies for $9 each, and Isabella sells boxes of oatmeal cookies for $11 each. Together, they sold 48 boxes and earned a total of $468. How many boxes did each person sell?
3. Noah and Ava are collecting donations for a charity. Noah collected 16 more donations than Ava. Together, they collected 126 donations. How many donations did each person collect?

…and 4 more problems