Use the properties of operations to add 9(k+13)+10(12k−1)
To simplify the expression 9(k+13)+10(12k−1), we can distribute the coefficients to each term within the parentheses and then combine like terms.
9(k+13) + 10(12k−1)
= 9k + 9(13) + 10(12k) + 10(-1)
= 9k + 117 + 120k + (-10)
= 9k + 120k + 117 - 10
= (9k + 120k) + (117 - 10)
= 129k + 107.
To simplify the expression 9(k + 13) + 10(12k - 1) using the properties of operations, we can apply the distributive property. This property states that a(b + c) = ab + ac.
Let's break down the expression step by step:
Step 1: Apply the distributive property to the expression 9(k + 13).
9(k + 13) = 9 * k + 9 * 13
= 9k + 117
Step 2: Apply the distributive property to the expression 10(12k - 1).
10(12k - 1) = 10 * 12k - 10 * 1
= 120k - 10
Step 3: Combine the simplified terms obtained in step 1 and step 2.
9k + 117 + 120k - 10
Step 4: Combine like terms by adding the coefficients of similar variables.
The like terms are 9k and 120k.
(9k + 120k) + (117 - 10) = 129k + 107
Therefore, the simplified expression is 129k + 107.
To simplify the expression 9(k+13)+10(12k−1), we can apply the distributive property, which states that a(b+c) = ab + ac. Let's break it down step by step:
1. Start with the expression: 9(k+13)+10(12k−1)
2. Apply the distributive property to the first term: 9 * k + 9 * 13
This simplifies to: 9k + 117
3. Apply the distributive property to the second term: 10 * 12k + 10 * (-1)
This simplifies to: 120k - 10
4. Now, we can combine the simplified terms: 9k + 117 + 120k - 10
Combine like terms: (9k + 120k) + (117 - 10)
This simplifies to: 129k + 107
So, the simplified expression is 129k + 107.