State the name of the property illustrated.

5 left parenthesis x plus 2 right parenthesis equals 5 x plus 5 times 25(x+2)=5x+5•2

The property illustrated is the **Distributive Property**.

It states that for any real numbers \( a \), \( b \), and \( c \):

\[
a(b + c) = ab + ac
\]

In the expression:
\[
5(x + 2) = 5x + 5 \cdot 2
\]
the distributive property is applied, where \( 5 \) is distributed across both \( x \) and \( 2 \), resulting in \( 5x + 5 \cdot 2 \).

Would you like a more detailed explanation or examples? 

Here are 5 related questions for further practice:
1. Apply the distributive property to \( 3(a + 4) \).
2. What is the result of distributing \( 7(2x - 3) \)?
3. Explain the distributive property with negative numbers: \( -4(2 - x) \).
4. Solve and simplify using the distributive property: \( 6(3x + 5) \).
5. Is the distributive property applicable to multiplication over subtraction? Prove it with an example.

**Tip:** The distributive property also works for subtraction: \( a(b - c) = ab - ac \).

State the name of the property illustrated: 5(x + 2) = 5x + 5 • 2

Explore the distributive property with the equation 5(x + 2) = 5x + 5 • 2. This lesson explains how to apply the distributive property in algebra, including detailed steps for solving similar equations. Ideal for students in Grades 6-8.

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