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

How do you simplify the expression 5(a + 6) using the Distributive Property?

Back

You distribute 5 to both a and 6, resulting in 5a + 30.

Front

What is the result of applying the Distributive Property to -3(4x - 12)?

Back

The result is -12x + 36, obtained by multiplying -3 by both 4x and -12.

Front

If you have the expression 7(2x + 1), what is the simplified form?

Back

The simplified form is 14x + 7, obtained by distributing 7 to both 2x and 1.

Front

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

Back

Factoring an expression means rewriting it as a product of its factors, often by identifying a common factor and using the Distributive Property in reverse.

Front

How can the Distributive Property help in solving equations?

Back

The Distributive Property allows you to simplify expressions, making it easier to isolate variables and solve equations.

Front

What is the result of applying the Distributive Property to -2(3x + 4)?

Back

The result is -6x - 8, obtained by distributing -2 to both 3x and 4.

Front

How do you apply the Distributive Property to the expression 4(2y - 3) + 5?

Back

First, distribute 4 to both 2y and -3, resulting in 8y - 12. Then, add 5 to get 8y - 7.