distributive property

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you apply the distributive property to the expression 5(a + 6)?

Back

You multiply 5 by both a and 6, resulting in 5a + 30.

Front

What is the result of applying the distributive property to 2(4 + 9w)?

Back

The result is 8 + 18w.

Front

What do you get when you apply the distributive property to -5(3x - 14)?

Back

You get -15x + 70.

Front

How do you simplify the expression 7(5x - 1) using the distributive property?

Back

You simplify it to 35x - 7.

Front

What is the simplified form of 6(x + y + 7) using the distributive property?

Back

The simplified form is 6x + 6y + 42.

Front

Can you explain the steps to simplify an expression using the distributive property?

Back

1. Identify the term outside the parentheses. 2. Multiply it by each term inside the parentheses. 3. Combine like terms if necessary.

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, such as tax or shipping.

Front

What is the difference between the distributive property and combining like terms?

Back

The distributive property involves multiplying a term by terms inside parentheses, while combining like terms involves adding or subtracting terms that have the same variable and exponent.

Front

How does the distributive property help in solving equations?

Back

It allows you to simplify expressions, making it easier to isolate variables and solve for unknowns.