Graph Inequalities Worksheets Grade 7

1. 2(3x - 7) + 5 ≥ 4(x + 2) - 3
2. Emma is organizing a school fundraiser and needs to order custom t-shirts. The printing company charges a flat setup fee of $75 plus $8 per shirt. Emma's budget for the t-shirts is at most $500. Write an inequality to represent this situation, then determine the maximum number of t-shirts she can order without exceeding her budget.
3. Maya is organizing a school fundraiser and needs to order custom t-shirts. The printing company charges a $50 setup fee plus $8 per shirt. Maya's budget for t-shirts is $500. Write an inequality to represent the maximum number of shirts she can order, then solve for the actual maximum number of whole shirts she can purchase.

…and 5 more problems

1. Liam is designing a rectangular garden with a perimeter of at least 48 meters. The length of the garden must be 4 meters more than twice its width. Write an inequality that represents all possible widths for Liam's garden, then determine the minimum possible width in meters.
2. Graph 3(2x - 9) + 5 > 4x - 7
3. Liam is designing a rectangular garden with a length of 12 meters. He wants the area of the garden to be at least 96 square meters. Write an inequality to represent all possible widths, w, that Liam can choose for his garden to meet this requirement.

…and 5 more problems

1. Graph 3(2x - 7) ≥ 5x + 12
2. 3(2x - 5) ≥ 4x + 7
3. Mere is buying supplies for a school project. Each package of markers costs $8. Mere has a budget of $50 to spend on markers. What is the maximum number of packages Mere can buy? Graph the solution on a number line.

…and 4 more problems