Solving Two-Step Equations
Two-step equations require students to plan a sequence of inverse operations rather than act on impulse. 3x + 7 = 22 asks: what was done to x, and in what order? Undo in reverse. Equations with variables on both sides introduce a new move — collecting like terms — and deepen algebraic reasoning.
What students explore
Two-step equations require students to plan a sequence of inverse operations rather than act on impulse. 3x + 7 = 22 asks: what was done to x, and in what order? Undo in reverse. Equations with variables on both sides introduce a new move — collecting like terms — and deepen algebraic reasoning.
Key ideas
Solve two-step linear equations involving integers and fractions. Verify solutions by substituting back into the original equation. Solve equations with variables on both sides. Model and solve real-world problems using equations.
Putting it together
Apply these ideas through worked examples, guided practice, and real-world problems.