Distributive Property (Algebraic Expressions)

Front

What is the Distributive Property in algebra?

Back

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

Front

How do you simplify the expression d + d + d + 3 + 2?

Back

Combine like terms: 3d + 5.

Front

What is an equivalent expression for 36x + 24 using the Distributive Property?

Back

2(18x + 12).

Front

How do you apply the Distributive Property to the expression 2(3v - 8)?

Back

Distribute 2: 2 * 3v - 2 * 8 = 6v - 16.

Front

What are terms in an algebraic expression?

Back

Terms are the parts of an expression separated by + or - signs.

Front

How many terms are in the expression 5x + 9 - 4b?

Back

There are 3 terms: 5x, 9, and -4b.

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 their variables.

Front

What is the first step in simplifying an expression using the Distributive Property?

Back

Identify the factor that will be distributed across the terms inside the parentheses.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be applied to both addition and subtraction.

Front

What is the result of applying the Distributive Property to 4(x + 5)?

Back

4x + 20.