use the properties of operations to add 9(k + 1/3) + 10 (1/2 k - 1)

14k + 13

19 1/2k - 2/3

14k - 7

14k - 2/3

3 answers

To simplify the expression 9(k + 1/3) + 10(1/2k - 1), we distribute the numbers outside the parentheses to the terms inside:

9(k) + 9(1/3) + 10(1/2k) - 10(1)

This simplifies to:

9k + 3 + 5k - 10

Combining like terms:

14k - 7

Therefore, the simplified expression is 14k - 7.
Are you sure?
Apologies for the incorrect response. Let's simplify the expression again correctly.

9(k + 1/3) + 10(1/2k - 1)

First, distribute 9 to both terms inside the parentheses:

9k + 9(1/3) + 10(1/2k - 1)

This simplifies to:

9k + 3 + 10(1/2k) - 10(1)

Next, distribute 10 to both terms inside the parentheses:

9k + 3 + 5k - 10 - 10

Combining like terms:

14k - 7

Therefore, the simplified expression is 14k - 7.