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 4(3x + 2)?

Back

You multiply 4 by each term inside the parentheses: 4 * 3x + 4 * 2 = 12x + 8.

Front

What is the result of applying the Distributive Property to 2(x + 7)?

Back

The result is 2x + 14.

Front

If 4(3x + __) = 12x + 16, what is the missing number?

Back

The missing number is 4.

Front

Which expression is equivalent to 10x - 8?

Back

2(5x - 4) is equivalent to 10x - 8.

Front

What is the result of distributing 2 in the expression 2(c - 8)?

Back

The result is 2c - 16.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables.

Front

How do you simplify the expression 3(2c - 5)?

Back

You distribute 3 to both terms: 3 * 2c - 3 * 5 = 6c - 15.

Front

What is the first step in using the Distributive Property?

Back

The first step is to identify the term outside the parentheses that will be distributed.

Front

Can the Distributive Property be used with subtraction?

Back

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