Question

Which expression is equivalent to 5(k+4)

Answer 1

The expression equivalent to 5(k+4) is found by using the distributive property, resulting in the simplified form 5k + 20.

Step-by-step explanation:

The expression 5(k+4) is an example of the distributive property in mathematics. To find an equivalent expression, you simply multiply the number outside the parentheses (in this case, 5) by each term inside the parentheses. Here are the steps:

1. Multiply 5 by k to get 5k.
2. Multiply 5 by 4 to get 20.
3. Combine these two products to get the equivalent expression: 5k + 20.

This method ensures you understand the concept of distribution, which is critical when simplifying algebraic expressions.