Solving Multi-Step Equations with the Distributive Property

What is the first step in solving an equation with the distributive property on both sides?

• Add constants to both sides

• Use the distributive property to remove parentheses

• Isolate the variable

• Combine like terms

In the equation 6(x + 3) = 2(4x - 1), what do you get after applying the distributive property?

• 6x + 3 = 8x + 1

• 6x + 3 = 8x - 1

• 6x + 18 = 8x - 2

• 6x + 18 = 8x + 2

After applying the distributive property and combining like terms, what is the next step?

• Add the constants to both sides

• Divide both sides by the coefficient of x

• Multiply both sides by the coefficient of x

• Move the variable to one side of the equation

What is the value of x in the equation 6(x + 3) = 2(4x - 1)?

• x = 5

• x = 8

• x = 12

• x = 10

How do you verify the solution x = 10 for the equation 6(x + 3) = 2(4x - 1)?

• Substitute x = 10 into the original equation and check if both sides are equal

• Substitute x = 10 into a different equation

• Check if x = 10 satisfies only one side of the equation

• Multiply both sides by 10

In the equation -4(3a - 9) = 3(-7a + 9), what do you get after applying the distributive property?

• -12a + 36 = -21a + 27

• -12a - 36 = -21a - 27

• 12a + 36 = 21a + 27

• 12a - 36 = 21a - 27

After applying the distributive property and combining like terms, what is the next step in solving -4(3a - 9) = 3(-7a + 9)?

• Add the constants to both sides

• Move the variable to one side of the equation

• Multiply both sides by the coefficient of a

• Divide both sides by the coefficient of a

What is the value of a in the equation -4(3a - 9) = 3(-7a + 9)?

• a = -2

• a = 2

• a = 1

• a = -1

How do you verify the solution a = -1 for the equation -4(3a - 9) = 3(-7a + 9)?

• Multiply both sides by -1

• Substitute a = -1 into a different equation

• Substitute a = -1 into the original equation and check if both sides are equal

• Check if a = -1 satisfies only one side of the equation

What is the inverse operation of multiplication when isolating a variable?

• Multiplication

• Division

• Subtraction

• Addition