Linear Inequalities Worksheets Grade 8

1. Liam is organizing a school fundraiser and needs to buy supplies. He has a budget of $120 to spend on two types of items: pens that cost $2 each and notebooks that cost $5 each. He needs at least 15 pens and at least 10 notebooks. Write an inequality that represents the situation where Liam does not exceed his budget, using x for pens and y for notebooks.
2. Is (9, 20) a solution to y > 3x - 7?
3. Emma is planning a community garden and needs to buy soil and fertilizer. She has a budget of $200. Soil bags cost $8 each and fertilizer bags cost $12 each. She needs at least 15 bags of soil for the garden beds and wants to buy at least 5 bags of fertilizer. Write a system of inequalities that represents Emma's situation, where s is the number of soil bags and f is the number of fertilizer bags.

…and 4 more problems

1. Maya is planning a community garden and needs to buy fencing for two rectangular plots. The first plot requires fencing that costs $4 per foot, and the second plot requires fencing that costs $6 per foot. She has a budget of $300 for fencing and needs at least 20 feet of the $6-per-foot fencing for the vegetable plot. Write an inequality that represents all possible combinations of fencing lengths (x for the $4-per-foot fencing, y for the $6-per-foot fencing) that Maya can purchase while staying within her budget and meeting the vegetable plot requirement.
2. Maya is planning a community garden and needs to buy soil and fertilizer. She has a budget of $200. Soil costs $4 per bag and fertilizer costs $8 per container. Maya needs at least 20 bags of soil for the garden beds. Write an inequality that represents all possible combinations of soil bags (s) and fertilizer containers (f) that Maya can purchase while staying within her budget and meeting the minimum soil requirement.
3. Liam is organizing a school fundraiser and needs to buy snacks. He has a budget of $60 to spend on juice boxes that cost $2 each and granola bars that cost $1.50 each. He needs at least 15 juice boxes and wants to buy at least twice as many granola bars as juice boxes. Write a system of inequalities that represents this situation, using j for juice boxes and g for granola bars.

…and 3 more problems

1. Maria is planning a community garden and needs to buy soil and fertilizer. She has a budget of $200. Soil bags cost $4 each and fertilizer bags cost $10 each. She needs at least 15 bags of soil for the garden beds and wants to buy at least 5 bags of fertilizer. Write a system of inequalities that represents Maria's situation, where s represents the number of soil bags and f represents the number of fertilizer bags.
2. Emma is planning a community garden and needs to buy soil and fertilizer. She has a budget of $200. Soil costs $4 per bag and fertilizer costs $10 per bag. She needs at least 20 bags of soil for the garden beds and wants to buy at least 5 bags of fertilizer. Write a system of inequalities that represents the constraints on the number of soil bags (s) and fertilizer bags (f) Emma can purchase while staying within her budget and meeting her requirements.
3. Is (7, 22) a solution to y ≥ 3x + 2?

…and 4 more problems