Distributive Property Day 3

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 -4(8r + 3)?

Back

You multiply -4 by each term inside the parentheses: -4 * 8r = -32r and -4 * 3 = -12, resulting in -32r - 12.

Front

What is the result of applying the Distributive Property to 4(x - 5)?

Back

You distribute 4 to both x and -5: 4 * x = 4x and 4 * -5 = -20, resulting in 4x - 20.

Front

What is the result of applying the Distributive Property to -9(g - 3)?

Back

You distribute -9 to both g and -3: -9 * g = -9g and -9 * -3 = +27, resulting in -9g + 27.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

How do you combine like terms in the expression 35x - 7?

Back

In this expression, 35x is a term with x, and -7 is a constant. They cannot be combined further, so it remains 35x - 7.

Front

What is the result of simplifying -45x + 72?

Back

This expression is already simplified as it contains no like terms to combine.

Front

What is the first step in solving an equation using the Distributive Property?

Back

The first step is to apply the Distributive Property to eliminate parentheses by multiplying the factor outside the parentheses with each term inside.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be applied to subtraction as well, treating it as addition of a negative: a(b - c) = ab - ac.