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Solving Equations

5 min readGrade 7 · Algebra & Patterning

Solving an equation is a logic puzzle with one rule: whatever you do to one side, do to the other. Students develop the habit of keeping equations balanced as they apply inverse operations. Two-step equations require a strategy — undo the addition or subtraction first, then the multiplication or division.

What students explore

Solving an equation is a logic puzzle with one rule: whatever you do to one side, do to the other. Students develop the habit of keeping equations balanced as they apply inverse operations. Two-step equations require a strategy — undo the addition or subtraction first, then the multiplication or division.

Key ideas

Solve one- and two-step linear equations. Verify solutions by substituting into the original equation. Represent problem situations with equations and solve. Solve problems involving rates and proportions algebraically.

Putting it together

Apply these ideas through hands-on activities, guided practice, and real-world problems.

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