Help plan a lemonade stand by writing expressions for cost and profit, solving inequalities to reach a profit goal, and analyzing how the number of cups sold affects earnings. Students build a table, plot a linear graph, and use a slider to visualize how profit changes—making math both real and interactive!
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:
Perfect for introducing algebraic modeling through a fun and relatable business scenario!
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.
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.
Write, read, and evaluate expressions in which letters stand for numbers.
All 6.EE.A.2 activities →Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
All 6.EE.B.6 activities →Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
All 6.EE.C.9 activities →Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. *For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation*.
All 7.EE.B.3 activities →Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
All 7.EE.B.4 activities →Solve word problems leading to equations of the form *px* + *q* = *r* and *p*(*x* + *q*) = *r*, where *p*, *q*, and *r* are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. *For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?*
All 7.EE.B.4a activities →
More interactive, auto-graded activities on the same standards and topics.
Students compare three different phone plans by writing algebraic expressions to model their monthly cost. They evaluate these expressions for different data usage amounts and determine at what point one plan becomes more economical than the others.
Practice solving real-world problems using one-step and two-step equations with rational numbers. Students write and solve equations based on scenarios like taxi fares, savings, and ticket purchases—perfect for building equation fluency.
Students compare three streaming services by writing and evaluating algebraic expressions that model total subscription costs over time. They determine which plan is most cost-effective and justify their choice using math.
Help students understand equations using a virtual balance scale. In this interactive Grade 7 worksheet, students model equations, write expressions, and solve for x by keeping both sides balanced. Features visual feedback, auto-checking, and randomized problems for independent learning.
Help students build algebra skills using visual tape diagrams. In this worksheet, learners solve one-step equations by identifying equal parts, understanding variable relationships, and finding the value of x. A great introduction to algebraic thinking for 6th grade and early 7th grade.
Practice solving one- and two-step equations with rational numbers, including fractions and decimals. Students can enter answers in either decimal or fraction form.
