The Distributive Property & Algebraic Expressions Quick Check

Question

Expand 5(y + 2) using the distributive property.

Answer 1

To expand $5(y+2)$ using the distributive property, you multiply 5 by each term inside the parentheses:

$$5(y+2)=5\cdot y+5\cdot 2$$

Now, calculating each term:

$$5\cdot y=5y$$ $$5\cdot 2=10$$

Putting it all together:

$$5(y+2)=5y+10$$

So, the expanded expression is:

$$5y+10$$