Use the properties of operations to write an expression equivalent to 2(k+4)+5 . The answer should be in simplest form. What is the constant value (no variables) in the equivalent expression?(1 point

Question

Use the properties of operations to write an expression equivalent to 2(k+4)+5 . The answer should be in simplest form. What is the constant value (no variables) in the equivalent expression?(1 point

Answer 1

To simplify the expression 2(k+4)+5, we can use the distributive property of multiplication over addition. This property states that for any real numbers a, b, and c, the expression a(b+c) is equivalent to ab + ac.

Using the distributive property, we can rewrite the expression 2(k+4) as 2k + 2(4).

So the equivalent expression is 2k + 8 + 5.

Simplifying further, we have 2k + 13.

In this expression, 13 is the constant value as it does not contain any variables.