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 -5(3x - 14)?

Back

You distribute -5 to both terms inside the parentheses: -5 * 3x + (-5) * (-14) = -15x + 70.

Front

Simplify the expression 2(3x + 4) using the distributive property.

Back

Distributing 2 gives: 2 * 3x + 2 * 4 = 6x + 8.

Front

What is the result of applying the distributive property to 4(2x + 3)?

Back

Distributing 4 results in: 4 * 2x + 4 * 3 = 8x + 12.

Front

Use the distributive property to simplify 5(4x - 7). What is the answer?

Back

Distributing 5 gives: 5 * 4x + 5 * (-7) = 20x - 35.

Front

What is the simplified version of the expression 7(5x - 1)?

Back

Distributing 7 results in: 7 * 5x + 7 * (-1) = 35x - 7.

Front

What does it mean to simplify an expression using the distributive property?

Back

It means to expand the expression by multiplying each term inside the parentheses by the factor outside.

Front

Can the distributive property be used with subtraction?

Back

Yes, the distributive property can be applied to subtraction as well, e.g., a(b - c) = ab - ac.

Front

What is an example of using the distributive property with negative numbers?

Back

For example, -2(3 - 5) = -2 * 3 + (-2) * (-5) = -6 + 10 = 4.

Front

How can the distributive property help in solving equations?

Back

It allows you to eliminate parentheses, making it easier to combine like terms and isolate variables.