Master writing a two column algebraic proof

The video tutorial explains how to solve algebraic proofs using two-column proofs. It begins with an introduction to the concept of algebraic proofs, emphasizing the importance of stating both the actions and the reasons behind them. The instructor then demonstrates solving two algebraic problems, first in a detailed manner and then using a streamlined approach. Key properties such as the addition, subtraction, and division properties of equality are highlighted throughout the process.

What is the primary goal when working with algebraic proofs?

• To find the value of X

• To memorize equations

• To solve as quickly as possible

• To understand the reasoning behind each step

Which property is used when adding the same value to both sides of an equation?

• Division Property of Equality

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

What is the result of simplifying the equation 5X + 5 = 20?

• X = 15

• X = 4

• X = 3

• X = 5

What is the first step when dealing with an equation that includes parentheses?

• Divide both sides by a number

• Apply the Distributive Property

• Subtract a constant from both sides

• Add a constant to both sides

In the equation -5X - 20 = 70, what is the next step after applying the distributive property?

• Subtract 20 from both sides

• Add 20 to both sides

• Multiply both sides by -5

• Divide both sides by -5

What is the final value of X in the equation -5X = 90?

• X = -90

• X = 90

• X = -18

• X = 18

What does the box or QED signify in a proof?

• The proof needs revision

• The proof is incomplete

• The proof is complete

• The proof is incorrect