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 or difference.

Front

How do you apply the distributive property to the expression 3(x + 4)?

Back

You multiply 3 by both x and 4, resulting in 3x + 12.

Front

What is the result of applying the distributive property to -2(3m + 9)?

Back

The result is -6m - 18.

Front

Which expression is equivalent to (5 - 3x)2 using the distributive property?

Back

The equivalent expression is 10 - 6x.

Front

What is an example of the distributive property in action?

Back

An example is 3(b - 4) = 3b - 12.

Front

How do you simplify 4(2x + 3) using the distributive property?

Back

You distribute 4 to both 2x and 3, resulting in 8x + 12.

Front

What is the equivalent expression for 9(x - 3) using the distributive property?

Back

The equivalent expression is 9x - 27.

Front

What does it mean to factor an expression using the distributive property?

Back

Factoring means rewriting an expression as a product of its factors, such as turning 6x + 12 into 6(x + 2).

Front

Can the distributive property be used with subtraction?

Back

Yes, the distributive property can be used with subtraction, such as a(b - c) = ab - ac.

Front

What is the first step in applying the distributive property?

Back

The first step is to identify the term outside the parentheses that will be distributed.