Exploring Two-Column Algebra Proofs

The video tutorial from YourTeacher.com demonstrates how to solve the equation 5x - 4 = 6 and prove that x = 2 using a two-column proof method. The process involves setting up a chart with statements and reasons, applying the addition and division properties of equality, and completing the proof by showing that x equals 2. This method provides a structured approach to solving equations while justifying each step.

What is the name of the platform mentioned in the video where you can find complete math lessons?

• MathLessons.com

• YourTeacher.com

• MathTutor.com

• LearnMath.com

What is the given equation in the problem statement?

• 4x - 5 = 6

• 5x + 4 = 6

• 5x - 4 = 6

• 5x - 6 = 4

What is the first step in solving the equation 5x - 4 = 6?

• Subtract 4 from both sides

• Multiply both sides by 5

• Divide both sides by 5

• Add 4 to both sides

What property justifies adding the same quantity to both sides of an equation?

• Multiplication Property of Equality

• Addition Property of Equality

• Division Property of Equality

• Subtraction Property of Equality

After adding 4 to both sides of the equation 5x - 4 = 6, what is the resulting equation?

• 5x = 2

• 5x = 10

• x = 2

• x = 10

What is the next step after obtaining the equation 5x = 10?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 5

• Divide both sides by 5

What property justifies dividing both sides of an equation by the same quantity?

• Division Property of Equality

• Addition Property of Equality

• Multiplication Property of Equality

• Subtraction Property of Equality

What is the value of x after solving the equation 5x = 10?

• x = 1

• x = 5

• x = 2

• x = 10

What is the purpose of the two-column chart used in the proof?

• To list the steps and reasons for solving the equation

• To compare different equations

• To list the properties of equality

• To show the final answer

What is the final statement in the proof?

• x = 5

• 5x = 10

• x = 2

• 5x - 4 = 6