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:

\[ 5y + 10 \]