Enter the missing values in the area model to find 8, left parenthesis, 2, b, plus, 10, right parenthesis8(2b+10)
8
16b
+10

To solve for the missing values in the area model for the expression \( 8(2b + 10) \), we distribute the 8 to each term inside the parentheses:

\[
8(2b + 10) = 8 \times 2b + 8 \times 10
\]

1. \( 8 \times 2b = 16b \)
2. \( 8 \times 10 = 80 \)

So, the full expression is:

\[
8(2b + 10) = 16b + 80
\]

The missing value in your model is **80**.

Would you like more details on this? Here are some related questions:

1. How do you use the distributive property in algebraic expressions?
2. What is the difference between expanding and factoring in algebra?
3. Can you explain how to factor the expression \( 16b + 80 \)?
4. What role does the distributive property play in simplifying equations?
5. How would you apply this method to an expression like \( 5(3x + 7) \)?

**Tip:** When distributing a factor across terms in parentheses, remember to multiply the factor by **each term** inside.

Enter the missing values in the area model to find 8(2b + 10).

Learn how to solve for the missing value in the expression 8(2b + 10) by applying the distributive property. This problem teaches key algebra concepts, such as distributing multiplication over addition. Suitable for Grades 6-8.

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