Simplifying Expressions with the Distributive Property

What is the distributive property?

• A property that allows multiplication across a sum or difference inside parentheses

• A formula for adding coefficients

• A method to divide terms

• A rule for subtracting expressions

Which methods can be used to apply the distributive property?

• Division and multiplication methods

• Rainbow method and area model method

• Subtraction and addition methods

• Factoring and expanding methods

In the rainbow method, how is the multiplication performed?

• Multiply the outer number by each term inside the parentheses

• Add the outer number to each term inside the parentheses

• Subtract each term inside from the outer number

• Divide the outer number by each term inside the parentheses

What does the area model method involve?

• Multiplying lengths and widths of rectangles representing terms

• Dividing the area into smaller equal parts

• Adding areas of shapes

• Subtracting areas of different shapes

How do you handle negative numbers in the distributive property using the rainbow method?

• Multiply including the negative sign

• Only multiply positive numbers

• Add the numbers as if they are positive

• Ignore the signs

What is the result of applying the distributive property to 3(x - 4)?

• 3x - 12

• 3x - 4

• 3x + 12

• 12x - 3

When combining like terms, what should you consider?

• Only the coefficients

• The signs in front of the terms

• The order of terms

• The type of operation between terms

What does combining like terms involve?

• Adding or subtracting coefficients of the same variable

• Finding the average of all terms

• Multiplying coefficients of different variables

• Dividing terms by their coefficients

What is the simplified form of -6x + 5x?

• 11x

• x

• -x

• -11x

How do you apply the distributive property to the expression -4(4n + 1)?

• 16n + 4

• 16n - 4

• -16n + 4

• -16n - 4