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

14k + 13

19 1/2 * k - 2/3

14k - 2/3

14k - 7

1 answer

Let's simplify the given expression step by step using the properties of operations:

1. Distribute the 9 to both terms inside the parentheses: 9(k) + 9(1/3) + 10(1/2 * k - 1).

This simplifies to: 9k + 3 + 10(1/2 * k - 1).

2. Distribute the 10 to both terms inside the parentheses: 9k + 3 + 10(1/2 * k) + 10(-1).

This simplifies to: 9k + 3 + 5k - 10.

3. Combine like terms: 9k + 5k + 3 - 10.

This simplifies to: 14k - 7.

Therefore, the simplified expression is 14k - 7.