Help students confidently solve multi-step equations and rearrange formulas with this clear, step-by-step Algebra 1 video lesson. Learners practice distributing, combining like terms, moving variables to one side, and isolating a target variable in common geometry and science formulas. This lesson pairs seamlessly with the companion “Mastering Multi-Step Equations: 50 Algebra 1 Problems with Answer Key” (sold separately on Teachers Pay Teachers) so you can move from modeling to rigorous practice in one click.

What’s inside (video outline)
• Problem 1 – Distribute and combine: Solve 2(x + 4) + 3 = x + 15 by distributing, combining like terms, and isolating x.
• Problem 2 – Variables on both sides: Solve 5(m + 2) = 3m + 14 by collecting like terms and isolating m.
• Problem 3 – Rearranging a formula (triangle area): From A = 1/2 · b · h, solve for h (undo multiplication in logical steps).
• Problem 4 – Nested expressions: Solve 3(x − 2) − 4 = 2x + 1 using distribution → combine → isolate.
• Problem 5 – Rearranging a formula (sphere surface area): From A = 4πr², solve for r (divide, then square root).
• Bonus – Combine then solve: 3(2y − 5) + 4 = y + 12 (distribute, combine, isolate y).

Skills students will build

• Solving multi-step linear equations (distribution, combining like terms, variables on both sides)
• Rearranging formulas to highlight a quantity of interest (solve for a specified variable)
• Checking solutions and explaining why each step is valid
• Interpreting structure to choose efficient solution paths
  

Standards alignment (CCSS)

• HSA.REI.B.3 — Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
• HSA.CED.A.4 — Rearrange formulas to highlight a quantity of interest using the same reasoning as solving equations.
  

How to use

• Mini-lesson or full-class modeling before targeted practice
• Reteach/intervention and small-group support
• Flipped or independent learning (video first, worksheet next)
• Homework, stations, sub plans, or test-prep review
  

Perfect pair
Use with “Mastering Multi-Step Equations: 50 Algebra 1 Problems with Answer Key” (sold separately) for immediate, aligned practice that mirrors the moves modeled in the video.

What Teachers Are Looking For:
multi-step equations, variables on both sides, distribute and combine like terms, rearranging formulas, solve for a variable, Algebra 1 video lesson, CCSS HSA.REI.B.3, HSA.CED.A.4, triangle area formula, sphere surface area formula.