Combining Like Terms and Distributive Property

The video tutorial demonstrates solving an algebraic equation using the distributive property and combining like terms. The instructor emphasizes keeping the variable positive and solving for it by isolating it on one side of the equation. The final solution is obtained by performing arithmetic operations to simplify the equation.

What is the first step in applying the distributive property to the equation?

• Divide all terms by the coefficient of x

• Multiply each term inside the parentheses by the factor outside

• Subtract the smaller variable term

• Add all constants on both sides

When combining like terms, what should you do if they are on the same side of the equation?

• Ignore them and focus on constants

• Use inverse operations to move them to opposite sides

• Simply add or subtract them as they are

• Multiply them by the coefficient of x

What is the equation after applying the distributive property?

• 8x - 6 - 8 = 4 + 2x

• 8x = 4 + 2x

• 8x - 14 = 4 + 2x

• 8x - 6 = 4 + 2x

What is the equation after combining like terms on the same side?

• 8x - 6 = 4 + 2x

• 8x - 6 - 8 = 4 + 2x

• 8x = 4 + 2x

• 8x - 14 = 4 + 2x

Why is it beneficial to keep the variable positive when solving equations?

• It is a requirement for all equations

• It reduces the number of steps needed

• It avoids negative numbers which can be confusing

• It makes the equation easier to solve

What should you do to eliminate a smaller variable term from one side of the equation?

• Multiply both sides by zero

• Subtract the term from both sides

• Divide both sides by the term

• Add the same term to both sides

What is the result of combining 8x and -2x?

• 0x

• 4x

• 10x

• 6x

What happens to the equation when you subtract 2x from both sides?

• The equation becomes 8x = 4

• The equation becomes 8x - 2x = 4

• The equation becomes 6x = 18

• The equation becomes 6x = 4

After eliminating the smaller variable term, what is the next step in solving the equation?

• Switch the sides of the equation

• Divide all terms by the constant

• Add or subtract constants to isolate the variable

• Multiply all terms by the coefficient of x

What operation is performed after isolating the variable to find its value?

• Division

• Multiplication

• Subtraction

• Addition