Distributive Property

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.

Front

How do you apply the Distributive Property to the expression 2(c - 8)?

Back

You apply the Distributive Property by multiplying 2 with both c and -8, resulting in 2c - 16.

Front

What is the result of applying the Distributive Property to 6(x + y + 7)?

Back

The result is 6x + 6y + 42, as you distribute 6 to each term inside the parentheses.

Front

What does the expression 7(4 + 6) simplify to using the Distributive Property?

Back

It simplifies to (7 x 4) + (7 x 6), which can be calculated as 28 + 42.

Front

What is the equivalent expression for 4(2x + 3) using the Distributive Property?

Back

The equivalent expression is 8x + 12, obtained by distributing 4 to both 2x and 3.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be used with subtraction, such as a(b - c) = ab - ac.

Front

What is an example of using the Distributive Property with negative numbers?

Back

An example is -3(2 - 5), which simplifies to -3*2 + -3*(-5) = -6 + 15 = 9.

Front

How does the Distributive Property help in simplifying expressions?

Back

It helps by allowing you to break down complex expressions into simpler parts, making calculations easier.

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

Is the Distributive Property applicable in algebraic equations?

Back

Yes, it is widely used in algebraic equations to simplify and solve for variables.