Solving Linear Equations with Parentheses Using the Division Property of Equality

The video tutorial teaches how to solve linear equations with parentheses using the division property of equality. It begins with an introduction to equations and the properties of equality, emphasizing the importance of performing operations on both sides of an equation. The tutorial demonstrates solving simple equations and highlights common mistakes. It compares using the distributive property versus the division property of equality, showing that both methods yield the same result but the division property can be more efficient. The video concludes by reinforcing the learned concepts.

What is the first step in solving the equation X + 2 = 5 using the properties of equality?

• Multiply both sides by 2

• Subtract 2 from both sides

• Add 2 to both sides

• Divide both sides by 2

When solving the equation 3(X + 2) = 27, what is the result after distributing the 3?

• 3X + 2 = 27

• 3X + 2 = 9

• 3X + 6 = 27

• X + 6 = 27

Which method is generally more efficient when solving equations with parentheses?

• Using the distributive property

• Subtracting the same number from both sides

• Using the division property of equality

• Adding the same number to both sides

In the equation -6(X - 2) = -18, what is the first step using the division property of equality?

• Multiply both sides by -6

• Divide both sides by -6

• Subtract 2 from both sides

• Add 2 to both sides

After solving the equation -6(X - 2) = -18, what should you do to verify the solution?

• Check if the solution satisfies a different equation

• Add 2 to the solution

• Substitute the solution back into the original equation

• Multiply the solution by -6