Distributive Property Day 2

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 the expression 4(x - 5)?

Back

To apply the Distributive Property, multiply 4 by each term inside the parentheses: 4 * x - 4 * 5 = 4x - 20.

Front

What is the result of applying the Distributive Property to -4(n - 4)?

Back

The result is -4n + 16, obtained by multiplying -4 by both n and -4.

Front

What does the expression -10(c - 8) simplify to using the Distributive Property?

Back

It simplifies to -10c + 80.

Front

When using the Distributive Property, what happens to the signs of the terms inside the parentheses?

Back

The signs of the terms inside the parentheses are affected by the coefficient outside. If the coefficient is negative, it will change the signs of the terms inside.

Front

What is the simplified form of -9(g - 3) using the Distributive Property?

Back

The simplified form is -9g + 27.

Front

How do you simplify the expression 3(a - 10) using the Distributive Property?

Back

You simplify it to 3a - 30 by multiplying 3 by both a and -10.

Front

What is the first step in applying the Distributive Property?

Back

The first step is to identify the term outside the parentheses and the terms inside the parentheses.

Front

Can the Distributive Property be used with more than two terms inside the parentheses?

Back

Yes, the Distributive Property can be applied to any number of terms inside the parentheses.

Front

What is an example of a real-world application of the Distributive Property?

Back

Calculating the total cost of multiple items where each item has a different price can be done using the Distributive Property.