Distribute with Negatives

Front

What does it mean to distribute in algebra?

Back

To distribute means to multiply a term outside of parentheses by each term inside the parentheses.

Front

What is the result of distributing -5 in the expression -5(x - 2)?

Back

The result is -5x + 10.

Front

How do you distribute a negative sign in an expression like -(6x + 3)?

Back

Distributing a negative sign means changing the signs of each term inside the parentheses, resulting in -6x - 3.

Front

What is the result of distributing -3 in the expression -3(2c - 5)?

Back

The result is -6c + 15.

Front

What is the outcome of distributing -15 in the expression -15(2x - 2)?

Back

The outcome is -30x + 30.

Front

How do you simplify the expression 5(2 - 7n)?

Back

You distribute 5 to both terms, resulting in 10 - 35n.

Front

What is the distributive property in mathematics?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term in a sum or difference.

Front

Can you give an example of distributing a negative number?

Back

Yes, for example, distributing -4 in -4(x + 3) results in -4x - 12.

Front

What happens to the signs of terms when distributing a negative number?

Back

The signs of the terms inside the parentheses are reversed when distributing a negative number.

Front

What is the first step in solving an expression that requires distribution?

Back

The first step is to identify the term outside the parentheses and apply it to each term inside.