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7.EE.A.1–A.2 · 7.EE.B.3–B.4 · Grade 7

7th Grade Expressions & Equations Worksheets

Build the Grade 7 algebra progression without jumping ahead: simplify, expand and factor expressions; rewrite equivalent forms to reveal meaning; solve multi-step rational-number situations; model and solve two-step equations; then solve, graph, and interpret inequalities.

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Grade 7 Expressions & Equations Review

Mixed Grade 7 7.EE review · Grade 7 standard · Seed 271801

1.

For 3 days, a gardener removes 26 1/4 gallons from a barrel each morning and adds 11 1/2 gallons each afternoon. What is the net change after 3 days? Give a quick whole-number estimate too.

Estimate: ____________________

Exact answer: ________________

2.

The temperature starts at 4°F, changes by 4°F, then changes by 2 1/2°F. Find the final temperature and estimate by rounding each change to a whole degree.

Estimate: ____________________

Exact answer: ________________

3.

Simplify: 1/2(x - 5/2) - 3x - 3/2

Show algebraic work: __________________________________

4.

Solve for x: -6x - 3 = -21

Show algebraic work: __________________________________

5.

Solve for x: 2(x + 5) = 12

Show algebraic work: __________________________________

6.

Solve for x: -2(x + 12) = -11

Show algebraic work: __________________________________

7.

An item with original price p is discounted 10%. Rewrite p - 1/10p in a form that shows the fraction of the original price the customer pays.

Equivalent form: _____________

What does the new form reveal?

8.

Simplify: 3(x + 7/2) - 1/2x + 11

Show algebraic work: __________________________________

9.

Each of 9 teams receives x practice cards plus 3 challenge cards. Rewrite 9(x + 3) so the total number of regular and challenge cards is visible separately.

Equivalent form: _____________

What does the new form reveal?

10.

Expand using the distributive property: 3(5/2x + 7/2)

Show algebraic work: __________________________________

Construction rule: equations are built around known exact solutions, expression rewrites use exact rational arithmetic, 7.EE.3 money stays in integer cents, and inequality answer graphs are withheld until answers are revealed.

How the Grade 7 expressions and equations skills fit together

These skills build from simplifying and rewriting expressions to solving equations and inequalities. First simplify and expand or factor expressions, then use equivalent expressions in a context, then solve two-step equations, then model word problems, then solve and graph inequalities. The same idea runs through all of them: do the same thing to both sides, and keep every sign.

Worked examples

  • Simplify: 3x + 5 + 2x − 1 = 5x + 4.
  • Expand: 3(2x − 5) = 6x − 15.
  • Solve: 2x + 3 = 11 gives x = 4.
  • Inequality: −2x ≤ 10 gives x ≥ −5, because dividing by a negative flips the sign.

Common slips

  • Combining unlike terms, such as treating 3x + 5 as 8x.
  • Forgetting to flip the inequality sign when dividing by a negative.
  • Doing an operation to only one side of an equation.

How to use this generator

Choose the skill that matches the lesson, print the worksheet with the answer key, and ask students to check each solution by substitution.

Common Core connection

  • 7.EE.A.1 · Apply properties of operations to add, subtract, factor, and expand linear expressions.
  • 7.EE.A.2 · Rewrite expressions in different forms to show how quantities relate in a problem.
  • 7.EE.B.4 · Use variables and equations or inequalities to solve problems and explain solutions.

A practical match for the skill this worksheet practises, not a claim that one worksheet teaches or assesses the whole standard. Check the official math standards.

Focused Grade 7 practice

Open one expressions-and-equations skill directly

Coverage map

How this library covers Grade 7 Expressions & Equations

7.EE.A.1 — equivalent expressions

Add, subtract, factor, expand, and simplify linear expressions using operation properties.

7.EE.A.2 — reveal meaning

Rewrite an expression in a different equivalent form and interpret what that form shows in context.

7.EE.B.3 — multi-step problems

Solve multi-step rational-number situations and explicitly assess reasonableness with estimation.

7.EE.B.4 — equations & inequalities

Model and solve px + q = r or p(x + q) = r, plus strict linear inequalities with graphs and context interpretation.

All 7th Grade math worksheets →

Browse the current 7.RP, 7.NS, 7.EE, and 7.G Grade 7 worksheet library from one hub.

Grade 7 rational numbers →

Review the exact signed operations and rational-number word problems that feed directly into 7.EE.3 and rational coefficients.

Grade 7 proportional reasoning →

Connect equations to rates, y = kx, percent applications, and proportional graphs.

All math generators →

Return to the full worksheet generator library for prerequisites and adjacent skills.

Quick answers

Which Grade 7 standards does this hub cover?

The focused generators cover 7.EE.A.1, 7.EE.A.2, 7.EE.B.3, 7.EE.B.4a, and 7.EE.B.4b: equivalent expressions, multi-step rational problems, equations, and inequalities.

Does the generator include rational coefficients?

Yes. Standard and challenge modes can use exact fractional coefficients while foundation mode keeps the algebra friendlier.

Do inequality worksheets include graphs?

Yes. Student previews and PDFs provide a number line without the answer ray; the checked view and answer key show the open boundary and correct direction.

Does this include variables on both sides?

No. This Grade 7 generator stays inside the equation forms named in 7.EE.B.4a instead of pulling later algebra into the cluster.