Multiply using the distributive property

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 apply the distributive property to -3(–10 + 6t)?

Back

-3(–10 + 6t) = -3 * -10 + -3 * 6t = 30 - 18t.

Front

What is the result of (j + 2)(2) using the distributive property?

Back

(j + 2)(2) = j*2 + 2*2 = 2j + 4.

Front

How do you simplify (j − 2)(-2) using the distributive property?

Back

(j − 2)(-2) = j*(-2) + (-2)*(-2) = -2j + 4.

Front

What is the result of 6(5 + 2g) using the distributive property?

Back

6(5 + 2g) = 6*5 + 6*2g = 30 + 12g.

Front

How do you simplify -3(10 + 6t) using the distributive property?

Back

-3(10 + 6t) = -3*10 + -3*6t = -30 - 18t.

Front

What does it mean to distribute a negative number?

Back

Distributing a negative number means that you multiply each term inside the parentheses by that negative number, which will change the signs of the terms.

Front

What is an example of using the distributive property with a variable?

Back

Example: 4(x + 3) = 4*x + 4*3 = 4x + 12.

Front

What is the first step in applying the distributive property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

Can the distributive property be used with more than two terms?

Back

Yes, the distributive property can be used with any number of terms inside the parentheses.