Two-Step Inequalities Worksheets Grade 7

1. Sophia is organizing a charity bake sale. She already has $56 in donations and plans to sell cupcakes for $6 each. She needs at least $200 to meet her fundraising goal. Write and solve an inequality to determine the minimum number of cupcakes, c, she must sell.
2. Sophia is organizing a school fundraiser and needs to order custom water bottles. The printing company charges a $36 setup fee plus $11 per water bottle. Sophia's budget for the water bottles is at most $586. Write and solve an inequality to determine the maximum number of water bottles, b, she can order without exceeding her budget.
3. Emma is planning a school fundraiser by selling raffle tickets. She already has $150 raised from donations. Each raffle ticket is sold for $5. Emma's goal is to raise at least $400 in total. Write and solve an inequality to determine the minimum number of tickets, t, she needs to sell to meet her goal.

…and 4 more problems

1. 3x + 7 > 22
2. Noah draws a number line and shades the solution region for the inequality 9x - 15 ≤ 75. On the number line, he marks a closed circle at the boundary value. What is the boundary value where Noah places the closed circle?
3. Matiu is helping his school's technology club raise money to buy new robotics kits. The club already has $124 saved from previous fundraisers. They plan to sell handmade candles at the school fair for $8 each. The robotics kits cost $300 in total. Write and solve an inequality to find the minimum number of candles, c, Matiu and his club must sell to have enough money to buy the kits.

…and 3 more problems

1. Emma is organizing a bake sale for her school's sports team. She needs to raise at least $500 to buy new equipment. She already has $125 from a previous fundraiser. If each batch of cookies she bakes earns $15, write and solve an inequality to find the minimum number of batches of cookies Emma must bake to reach her goal. Then graph the solution on a number line.
2. Liam is saving money to buy a new video game that costs $65. He already has $20 saved from his allowance. Each week, he earns an additional $15 from doing chores. Write and solve an inequality to determine the minimum number of weeks Liam needs to work to afford the game.
3. A rectangular garden is drawn on a coordinate plane with vertices at (2, 1), (8, 1), (8, 5), and (2, 5). The gardener wants to plant flowers in the region where y > 2x - 7. Determine which vertices of the rectangle satisfy this inequality.

…and 5 more problems