4.8 Distributing

Front

What is the distributive property in mathematics?

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 0.5(6x + 8)?

Back

By distributing 0.5 to both terms inside the parentheses: 0.5 * 6x + 0.5 * 8 = 3x + 4.

Front

What is the result of applying the distributive property to 20(30x + 10)?

Back

Distributing 20 gives: 20 * 30x + 20 * 10 = 600x + 200.

Front

When simplifying 6(7x + 8), what is the final expression?

Back

Distributing 6 results in: 6 * 7x + 6 * 8 = 42x + 48.

Front

How do you simplify the expression 1.72(x - 8.6) using the distributive property?

Back

Distributing 1.72 gives: 1.72 * x - 1.72 * 8.6 = 1.72x - 14.792.

Front

What is the simplified form of 6(8.8x + 2.3)?

Back

Distributing 6 results in: 6 * 8.8x + 6 * 2.3 = 52.8x + 13.8.

Front

Can you give an example of a real-world application of the distributive property?

Back

The distributive property can be used in calculating total costs, such as finding the total price of multiple items with different prices.

Front

What is the first step in applying the distributive property?

Back

Identify the term outside the parentheses and the terms inside the parentheses that need to be multiplied.

Front

What happens if you do not apply the distributive property correctly?

Back

Incorrect application can lead to wrong answers, as the values inside the parentheses will not be properly multiplied.

Front

How can the distributive property help in factoring expressions?

Back

The distributive property can be reversed to factor out common terms from an expression.