Students write and solve inequalities representing real-world side jobs, then analyze automatically generated graphs to compare job outcomes and make decisions based on visual and numerical insights.
In this real-world math worksheet, students step into the shoes of someone trying to reach a financial goal of $300 by taking on one of three side gigs: dog walking, yard work, or tutoring. Each job offers a different daily rate and starting bonus, and students must figure out how many days they’d need to work to meet their goal.
To do this, students will write inequalities in the form px + q ≥ 300 — where p is the daily pay, q is the bonus, and x is the number of days worked. As they enter these expressions into the worksheet, an interactive graph is automatically generated for each inequality, giving students a powerful visual tool to interpret and compare outcomes.
Students will:
Why this worksheet stands out:
This activity helps students see how expressions and inequalities apply directly to real-life situations — and how graphs can be used to make smart, data-driven choices.
Students will write and solve linear inequalities in the form px + q ≥ r to model real-world income scenarios. They will analyze dynamically generated graphs to determine when earnings from different jobs meet or exceed a financial goal, compare multiple income models, and interpret solution sets within context. This activity reinforces algebraic reasoning, graph interpretation, and decision-making using inequalities.
This worksheet supports automatic randomization of values. Each student will receive different daily pay rates and bonuses for the three side gigs. This ensures:
You can enable or disable randomization when assigning the worksheet.
💡 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.
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 inequalities of the form *px* + *q* > *r* or *px* + *q* < *r*, where *p*, *q*, and *r* are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. *For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions*.
All 7.EE.B.4b activities →
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