CCSS.Math.Content.7.EE.B.4
The standard
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.
Common Core State Standards for Mathematics · Expressions and Equations
What this standard means
Students need to turn a situation into an equation or inequality using a variable, then solve it and explain what the answer means. They should choose the variable, connect numbers to the context, use inverse operations, and decide when an inequality fits better than an equation.
Mastery looks like writing a correct model before solving, keeping units in mind, and checking the solution in the story. Students often get stuck choosing what the variable represents, reversing inequality signs with negative multiplication or division, and treating words like “at least” or “no more than” too casually.
Ways to teach it
- Hands-on activity: Give pairs price tags and a budget card, then have them write and solve inequalities for possible purchases.
- Prompt: Write a short story problem that matches 3x + 7 = 31, then explain what x means.
- Quick assessment: Show four word problems and ask students to label each as equation or inequality, then write the model only.
- Real-world connection: Use a phone plan with a monthly fee and per-gigabyte charge to model total cost under a budget.
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