Verifying Solutions in Algebra

The video tutorial explains how to solve an equation with variables on both sides using properties of equality. It begins by introducing the equation and the need to eliminate grouping symbols using the distributive property. The tutorial then demonstrates isolating the variable by subtracting terms and dividing, ultimately finding the solution. Finally, it suggests verifying the solution by substituting it back into the original equation.

What is the first step in solving an equation with grouping symbols?

• Subtract the constant from both sides

• Multiply both sides by a constant

• Use the distributive property

• Add the variables on both sides

In the equation 4X = 2 * x + 6, what does the 6 represent?

• A variable

• A coefficient

• A grouping symbol

• A constant

What does the equation 4X = 2 * x + 6 demonstrate?

• An equation with only one variable

• An equation with only constants

• An equation with grouping symbols

• An equation with no solution

What does the term 'properties of equality' refer to?

• Rules for solving equations

• Methods for graphing equations

• Strategies for estimating

• Techniques for factoring

Which property is used to eliminate grouping symbols in an equation?

• Associative property

• Identity property

• Commutative property

• Distributive property

What is the purpose of using the distributive property in solving equations?

• To eliminate grouping symbols

• To add variables

• To divide terms

• To multiply constants

After applying the distributive property, what is the next step to isolate X?

• Add 2x to both sides

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 2x from both sides

What is the result of subtracting 2x from both sides of the equation 4X = 2x + 12?

• 2x = 12

• 4x = 12

• 6x = 12

• 0 = 12

What is the significance of the number 12 in the equation 4X = 2x + 12?

• It is a grouping symbol

• It is a variable

• It is a coefficient

• It is a constant

What operation is performed to solve for X after isolating it?

• Addition

• Subtraction

• Multiplication

• Division