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 or difference.

Front

How do you apply the Distributive Property to the expression 6(x + y + 7)?

Back

You multiply 6 by each term inside the parentheses: 6(x) + 6(y) + 6(7) = 6x + 6y + 42.

Front

Simplify the expression: x + 4 - 7(x - 5). What is the first step?

Back

The first step is to apply the Distributive Property to -7(x - 5), which gives -7x + 35.

Front

What is the result of simplifying -6x + 4(-x - 3)?

Back

First, apply the Distributive Property: 4(-x) + 4(-3) = -4x - 12. Then combine like terms: -6x - 4x - 12 = -10x - 12.

Front

When simplifying -2x - 4(4x - 8), what do you do first?

Back

First, apply the Distributive Property to -4(4x - 8), which gives -16x + 32.

Front

What is the final simplified form of -2x - 4(4x - 8)?

Back

Combine like terms: -2x - 16x + 32 = -18x + 32.

Front

How do you simplify the expression 4(-p - 6)?

Back

Apply the Distributive Property: 4(-p) + 4(-6) = -4p - 24.

Front

What is the importance of combining like terms in algebraic expressions?

Back

Combining like terms simplifies expressions, making them easier to work with and understand.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and applying properties such as the Distributive Property.

Front

What is a like term in algebra?

Back

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