M8 ~ Distribute a Negative

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you distribute a negative sign in an expression?

Back

To distribute a negative sign, multiply each term inside the parentheses by -1. For example, - (x + 3) becomes -x - 3.

Front

What is the result of 10 - (x + 3)?

Back

10 - (x + 3) simplifies to 10 - x - 3, which further simplifies to 7 - x.

Front

What is the result of -(-x + 3)?

Back

-(-x + 3) simplifies to x - 3.

Front

What is the result of 10 - (x - 3)?

Back

10 - (x - 3) simplifies to 10 - x + 3, which further simplifies to 13 - x.

Front

What is the result of -4(9z - 6)?

Back

-4(9z - 6) simplifies to -36z + 24.

Front

What is the result of -(-x - 3)?

Back

-(-x - 3) simplifies to x + 3.

Front

What does it mean to 'distribute' in mathematics?

Back

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

Front

If you have an expression like 5 - (2 + 3), what is the first step?

Back

The first step is to distribute the negative sign: 5 - 2 - 3.

Front

What is the simplified form of -2(x + 4)?

Back

-2(x + 4) simplifies to -2x - 8.