Distributive Property and Equivalent Expressions

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 5(a + 6)?

Back

By applying the Distributive Property, 5(a + 6) becomes 5a + 30.

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variables involved.

Front

What is the result of applying the Distributive Property to 7(u + 4)?

Back

Applying the Distributive Property gives 7u + 28.

Front

How do you determine if two expressions are equivalent?

Back

Two expressions are equivalent if they simplify to the same expression or have the same value for all variable inputs.

Front

What is the equivalent expression for 3(3x + 1)?

Back

The equivalent expression is 9x + 3.

Front

Which expression does not belong with the others: 5x, 5(x + 1), 5x + 5, 5(x + 2)?

Back

5x does not belong because it is not equivalent to the other expressions.

Front

What is the equivalent expression for 2(4 + 9w)?

Back

The equivalent expression is 8 + 18w.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.