Understanding the Distributive Property in Algebra

What does the distributive property allow us to do in algebra?

• Combine like terms inside parentheses

• Remove parentheses by distributing multiplication over addition or subtraction

• Solve equations faster

• Find the greatest common factor

When using the distributive property, what operation is distributed across the terms inside the parentheses?

• Multiplication

• Division

• Addition

• Subtraction

In the expression 2(5 + 3), what is the result after applying the distributive property?

• 13

• 16

• 10

• 8

How does the distributive property affect the value of an expression?

• It doubles the value

• It does not change the value

• It decreases the value

• It increases the value

What is the simplified form of 8(2m + 6)?

• 16m + 48

• 10m + 14

• 10m + 48

• 16m + 14

In the expression 7(a - 9), what does 7 times -9 equal?

• -63

• 16

• 63

• -16

How can subtraction inside parentheses be viewed when using the distributive property?

• As multiplication by a negative number

• As division

• As addition

• As unchanged

What is the result of distributing 10 to the expression -5x - 4y?

• 50x - 40y

• -50x + 40y

• 50x + 40y

• -50x - 40y

Why is it useful to include the sign in front of a term when using the distributive property?

• To make the expression more complex

• To change the value of the expression

• To correctly handle negative numbers

• To simplify the expression further

What does the distributive property help us achieve in algebra?

• Calculate the highest common factor

• Identify like terms more easily

• Simplify expressions by removing parentheses

• Solve for variables faster