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 3(x + 1)?

Back

You multiply 3 by both x and 1, resulting in 3x + 3.

Front

What is the result of distributing 4 in the expression 4(p - 6)?

Back

The result is 4p - 24.

Front

How do you simplify the expression 7(y - 3) using the distributive property?

Back

You distribute 7 to both y and -3, resulting in 7y - 21.

Front

What is the outcome of distributing -1 in the expression - (3x + 4)?

Back

The outcome is -3x - 4.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is the result of distributing ½ in the expression ½(8x + 2)?

Back

The result is 4x + 1.

Front

Can the distributive property be used with subtraction?

Back

Yes, the distributive property can be applied to expressions 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 -2(x - 5), which simplifies to -2x + 10.

Front

How do you distribute a variable in an expression?

Back

You multiply the variable by each term inside the parentheses.