Lemonade Stand: Profit Using Expressions
In this engaging, real-world math worksheet, students take on the role of a business planner for a weekend lemonade stand. They use algebraic expressions to model cost and revenue, solve inequalities to determine how many cups need to be sold to meet a profit goal, and explore how changes in pricing affect the outcome. Students fill out a profit table, observe patterns, and plot a linear graph to visualize the relationship between cups sold and profit earned. A built-in slider makes the graph dynamic and interactive.
This worksheet supports mastery of 7.EE.B.3 and 7.EE.B.4 and helps students see how expressions, inequalities, and graphs are used in real-world decision-making.
Key Skills Practiced:
- Writing and evaluating expressions
- Solving inequalities
- Analyzing and plotting linear relationships in graphs
- Reasoning about costs, revenue, and profit
Perfect for introducing algebraic modeling through a fun and relatable business scenario!
Learning Objective
Students will write and evaluate expressions and inequalities to represent real-world profit scenarios. They will apply operations with rational numbers, interpret algebraic models, and use graphs to analyze patterns. Through this activity, students will understand how linear expressions can represent relationships between quantities and be used to make informed decisions in real-life contexts like running a small business.
Randomization Available
If randomization is enabled, each student may receive different values for fixed cost, price per cup, or variable cost. This ensures that students work on unique versions of the same problem, helping reduce copying and improve individual reasoning. Correct answers and graphs will vary accordingly.
💡 Tip: When assigning this activity to your classroom, you can optionally enable randomization to give each student a unique version of the problems. When you re-assign the same worksheet, each student will get a new set of questions, helping them master the content through repeated practice.
