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
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students choose a variable for an unknown quantity and use the given relationships to write an equation or inequality. They solve it and interpret the result in context.
What Mastery Looks Like
- Students define a variable, build an equation or inequality from a situation, and solve it accurately. They check the result and explain the answer using the problem’s units and limits.
Common Misconceptions
- Students may reverse inequality signs, treat words like “more than” as subtraction, or forget to reverse the sign when dividing by a negative. They may also give a number without explaining what it means in the situation.
How to Assess It
- Give this exit ticket: “A club has $120. It spends $24 on supplies and $8 per shirt. Write and solve an inequality for the shirts it can buy.”
Lesson moves
Ways to Teach It
Use balance mats, cups, and counters to model 3x + 4 = 19, then remove equal amounts and divide into groups.
Ask students to write and defend an equation for: “Three movie tickets and a $5 snack cost $32.”
Play a matching game with cards showing situations, equations, inequalities, solutions, and matching interpretations.
Compare two phone plans with fixed fees and per-gigabyte charges, then find when one plan costs less.
Free download
Printable 7.EE.B.4 Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.7.EE.B.4, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetLearning progression
Where This Standard Sits
See the whole path on the Expressions & Equations progression map.
Before This Standard
If students are struggling here, check these first.
- CCSS.Math.Content.6.EE.B.6
Representing unknown quantities with variables and expressions is essential before forming equations or inequalities from problem situations.
- CCSS.Math.Content.6.EE.B.7
Solving one-step equations with rational numbers is the foundation for writing and solving the two-step equations and inequalities in grade 7.
- CCSS.Math.Content.6.EE.B.8
Writing and graphing simple inequality constraints supports forming and solving more complex variable inequalities from real-world situations.
What This Unlocks
Mastery here sets students up for these next.
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Related Standards
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