7.EE.B.4
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.
Cluster 7.EE.BSolve real-life and mathematical problems using numerical and algebraic expressions and equations.
Sub-standards
- 7.EE.B.4.aSolve 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?
- 7.EE.B.4.bSolve 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.
Where this sits in the school year
Our Grade 7 Math scope and sequence teaches 7.EE.B.4 in Unit 4: Equations & Inequalities, weeks 10–12.
Turn word problems into px + q = r equations and px + q > r inequalities, solve them fluently, and interpret solution sets in context. See the full pacing guide →
Builds on
Suggested prerequisites. This sequencing is our editorial guidance, not part of the Common Core.
Teaching Kits for this standard
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