Equivalent Expressions-Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you apply the Distributive Property to the expression 11(9 + d)?

Back

You multiply 11 by both 9 and d, resulting in 99 + 11d.

Front

Simplify the expression 4(k + 7) using the Distributive Property.

Back

4(k + 7) simplifies to 4k + 28.

Front

What is the result of applying the Distributive Property to 5(1 + 5b)?

Back

5(1 + 5b) simplifies to 5 + 25b.

Front

How do you simplify 4(8n + 2) using the Distributive Property?

Back

4(8n + 2) simplifies to 32n + 8.

Front

What is the simplified form of 8(4b - 5)?

Back

8(4b - 5) simplifies to 32b - 40.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

Can you give an example of an equivalent expression using the Distributive Property?

Back

Yes, 2(3 + 4) is equivalent to 2*3 + 2*4, which simplifies to 6 + 8.

Front

What is the first step in using the Distributive Property?

Back

The first step is to identify the term outside the parentheses and the terms inside the parentheses.

Front

How can you check if your simplified expression is correct?

Back

You can substitute values for the variables in both the original and simplified expressions to see if they yield the same result.