Exploring the Distributive Property in Depth

What does the distributive property allow you to do?

• Divide each term inside parentheses by a number outside

• Subtract numbers inside parentheses without multiplying

• Multiply each term inside parentheses by a number outside

• Add numbers inside parentheses without multiplying

If you have 4(n + 5), what is the simplified expression?

• 4n + 20

• 20n + 5

• 9n

• 4n + 5

What is the result of distributing 2 to (x - 4)?

• 2x - 8

• x - 8

• 2x + 4

• 2x - 4

How do you simplify the expression 5(2x + 3)?

• 10x + 3

• 5x + 8

• 10x + 15

• 7x + 3

When combining like terms, what is the simplified form of 3x + 2x?

• 5x

• 6x

• x

• 5

In the expression y + y + y, how many y's are there in total?

• 3y

• y

• 6y

• 2y

What is the simplified form of 2z - 2(5y) + 7z?

• 9z + 10y

• 14z - 10y

• 9z - 10y

• 5z - 10y

What is essential for simplifying algebraic expressions?

• Combining different variables

• Only adding numbers without variables

• Combining like terms

• Ignoring coefficients

After distributing 3 to 3(b + 5) and adding 2, what is the simplified expression?

• 9b + 15

• 3b + 17

• 3b + 15

• 4b + 17

Why is it important to practice simplifying expressions?

• To memorize more formulas

• To ensure accuracy in solving algebra problems

• To avoid simplification in algebra

• To make expressions more complicated