Solving Equations Using the Distributive Property

Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 1

Question

Question:
Solve the equation: 4 times the quantity 2x minus 3, equals 28. Apply the distributive property first, then solve the resulting two-step equation. Check your answer.

Solving Equations Using the Distributive Property

This lesson walks through solving a linear equation that requires the distributive property before isolating the variable. Students learn to expand parentheses, then apply inverse operations in sequence, and verify the solution by substitution.

In this lesson, you will learn to:
• Apply the distributive property to expand expressions with parentheses
• Solve a two-step linear equation using inverse operations
• Check a solution by substituting it back into the original equation

Course: Algebra1 · Big Ideas Math · Ron Larson · Chapter 1- Solving Linear Equations
Level: Grade 9

Pause before each step, try the next part yourself, and then continue to check your re

Step-by-step video solution

This DoAssignment.ca lesson explains the problem with a narrated, step-by-step solution for students studying Algebra from Algebra 1 · Big Ideas Math · Ron Larson.

More Algebra solutions · Browse all video solutions · Get AI homework help or book an online tutor

Related video solutions

• Comparing Rates of Change in Linear and Non-Linear Graphs
  Algebra · Algebra — Grade 9
• Comparing Rates of Change in Linear and Non-Linear Graphs
  Algebra · Algebra — Grade 9
• Compare Expressions and Identify Equivalent Forms
  Algebra · Algebra — Grade 9
• Applying Mathematical Processes and Communicating Reasoning
  Algebra · Algebra — Grade 9
• Solving Two-Step Linear Equations
  Algebra · Algebra — Grade 7
• Solving Linear Equations
  Algebra · Algebra — Grade 9
• Solving Linear Equations
  Algebra · Algebra — Grade 8
• Real-World Application: Linear Modeling
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-