Solving One-Step and Multi-Step Equations

Site: Young Education
Course: Introduction to Algebra
Book: Solving One-Step and Multi-Step Equations
Printed by: Gast
Date: Friday, 25 September 2026, 2:38 AM

1. Understanding Equations

Learning outcomes
  • I can explain the meaning of an equation.
  • I can identify the parts of an equation.
  • I can describe equality as a balance between two sides.
  • I can determine whether a value is a solution to an equation.
  • I can verify solutions by substitution.

2. Solving One-Step Equations

Learning outcomes
  • I can solve equations involving addition and subtraction.
  • I can solve equations involving multiplication and division.
  • I can use inverse operations to isolate variables.
  • I can check my solutions for accuracy.
  • I can explain the steps used to solve an equation.

3. Solving Multi-Step Equations

Learning outcomes
  • I can solve equations involving multiple operations.
  • I can apply inverse operations in the correct order.
  • I can isolate variables systematically.
  • I can verify solutions by substitution.
  • I can explain my reasoning when solving equations.

4. Equations with Variables on Both Sides

Learning outcomes
  • I can simplify equations with variables on both sides.
  • I can collect variable terms onto one side of an equation.
  • I can use balancing techniques to solve equations efficiently.
  • I can identify equations with one solution, no solution, or infinitely many solutions.
  • I can verify solutions using substitution.

5. Real-World Equation Problems

Learning outcomes
  • I can translate word problems into equations.
  • I can identify unknown quantities in real-world situations.
  • I can solve equations to answer practical questions.
  • I can interpret solutions within context.
  • I can communicate mathematical reasoning clearly.