Understanding the Distributive Property

What is the first step in applying the distributive property to an expression?

• Multiply each term inside the parentheses by the number outside

• Subtract the numbers inside the parentheses

• Add all numbers inside the parentheses

• Divide the terms inside the parentheses by the number outside

When distributing a negative number, what happens to the signs of the terms inside the parentheses?

• They remain the same

• They switch to the opposite sign

• They all become positive

• They all become negative

How do you calculate the perimeter of a square using the distributive property?

• Add the lengths of all sides

• Multiply the length of one side by 2

• Multiply the expression for one side by 4

• Divide the expression for one side by 4

What is the result of distributing 3 to the expression (x - 6) and then adding 19?

• 3x - 18 - 19

• 3x + 18 + 19

• 3x - 6 + 19

• 3x - 18 + 19

In the expression 4x + 2(7 - 3x), what should be done first?

• Multiply 4x by 2

• Subtract 3x from 7

• Distribute 2 to the terms inside the parentheses

• Add 4x and 2

What is the simplified form of the expression 4x + 2(7 - 3x)?

• 4x + 14

• 4x - 14

• 2x - 14

• 2x + 14

How do you handle a negative sign in front of parentheses?

• Add it to the terms inside

• Ignore it

• Multiply it by 2

• Distribute it as a negative 1

What is the result of combining 1.5 and 6 after distributing a negative sign?

• 8.5

• 7.5

• 5.5

• 6.5

What is the simplified form of the expression 1.5 - (x - 6)?

• 1.5 - x - 6

• 1.5 + x + 6

• 1.5 + x - 6

• 1.5 - x + 6

What is the first step in simplifying an expression with both distributive property and like terms?

• Combine like terms first

• Distribute first

• Subtract all variables first

• Add all constants first