Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a multiplier across terms inside parentheses.

Front

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

Back

You multiply 2 by both c and -8, resulting in 2c - 16.

Front

What is the result of applying the Distributive Property to 3(2c - 5)?

Back

The result is 6c - 15, obtained by multiplying 3 by both 2c and -5.

Front

What is the result of applying the Distributive Property to 5(a + 6)?

Back

The result is 5a + 30, obtained by multiplying 5 by both a and 6.

Front

What does it mean to simplify an expression using the Distributive Property?

Back

Simplifying an expression means to combine like terms and eliminate parentheses to make the expression easier to work with.

Front

Can the Distributive Property be used with negative numbers?

Back

Yes, the Distributive Property can be applied to expressions with negative numbers, such as -2(c + 4) = -2c - 8.

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 base price and additional costs, can be done using the Distributive Property.

Front

How do you distribute a negative sign in an expression?

Back

Distributing a negative sign means to multiply each term inside the parentheses by -1, such as -1(a + b) = -a - b.

Front

What is the result of applying the Distributive Property to -4(x - 3)?

Back

The result is -4x + 12, obtained by multiplying -4 by both x and -3.

Front

What is the importance of the Distributive Property in algebra?

Back

The Distributive Property is fundamental in algebra as it allows for the simplification and expansion of expressions, making it easier to solve equations.