Understanding the Distributive Property

What is the basic principle of the distributive property when applied to addition?

• Divide the sum of two numbers by a third number.

• Subtract the product of two numbers from a third number.

• Add the product of two numbers to a third number.

• Multiply the sum of two numbers by a third number.

How does the distributive property change when applied to subtraction?

• The sign of the first term changes to subtraction.

• The sign of the second term remains the same.

• The sign of the second term changes to subtraction.

• The sign of the second term changes to addition.

What is the result of applying the distributive property to 2 * (5 - 3)?

• 8

• 6

• 2

• 4

When using the distributive property to evaluate 4 * (5 + 8), what is the first step?

• Multiply 4 by 8.

• Multiply 4 by 5.

• Subtract 5 from 8.

• Add 5 and 8 together.

What is the final result of evaluating 4 * (5 + 8) using the distributive property?

• 40

• 20

• 32

• 52

How can the distributive property be used to simplify the calculation of 4 * 99?

• By breaking 99 into 50 + 49.

• By breaking 99 into 80 + 19.

• By breaking 99 into 100 - 1.

• By breaking 99 into 90 + 9.

What is the result of using the distributive property to calculate 4 * (100 - 1)?

• 392

• 404

• 400

• 396

How do you apply the distributive property to the expression 2 * (x + 4)?

• 2x + 8

• 2x + 4

• x + 8

• 2x + 2

What is the result of distributing -2 across (n - 3)?

• -2n + 6

• -2n - 6

• 2n + 6

• 2n - 6

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

• The signs remain the same.

• The signs change to positive.

• The signs change to negative.

• The signs alternate.