Add and Subtract Algebraic Expressions Quick Check

1 of 51 of 5 Items
Question
Use the properties of operations to add 9(k+13)+10(12k−1).(1 point)
Responses

14k+13
14 k plus 13

14k−23
14 k minus Start Fraction 2 over 3 End Fraction

14k−7
14 k minus 7

1912k−23

9 answers

To simplify the expression 9(k+13)+10(12k-1), we distribute the multiplication first:

9(k+13) + 10(12k-1) = 9k + 117 + 120k - 10

Next, we combine like terms:

9k + 117 + 120k - 10 = 129k + 107

Therefore, the simplified expression is 129k + 107.
Add and Subtract Algebraic Expressions Quick Check
1 of 51 of 5 Items
Question
Use the properties of operations to add 9(k+13)+10(12k−1) .(1 point)
Responses

14k+13
14 k plus 13

14k−23
14 k minus Start Fraction 2 over 3 End Fraction

14k−7
14 k minus 7

1912k−23
To simplify 9(k+13)+10(12k-1), we first distribute the 9 and 10:

9(k+13) + 10(12k-1) = 9k + 117 + 120k - 10

Next, we combine like terms:

9k + 117 + 120k - 10 = 129k + 107

So the simplified expression is 129k + 107.

The correct response is "C. 129k + 107".
that is incorrect
I apologize for the mistake. Let's re-evaluate the expression:

9(k+13) + 10(12k-1) can be simplified as follows:

9k + 9 * 13 + 10 * 12k - 10 * 1

= 9k + 117 + 120k - 10

= 129k + 107

So, the correct response is "C. 129k + 107".
that is not c,
My apologies for the confusion. Let's evaluate the expression again:

9(k+13) + 10(12k-1) can be simplified as follows:

First, distribute the 9 and 10:

9k + 9 * 13 + 10 * 12k - 10 * 1

Simplify each term:

= 9k + 117 + 120k - 10

Combine the like terms:

= (9k + 120k) + (117 - 10)

= 129k + 107

So, the correct response is "D. 129k + 107".
129k+107 is not an answer
I apologize for the mistake again. Let's re-evaluate the expression:

9(k+13) + 10(12k-1) can be simplified as follows:

First, distribute the 9 and 10:

9k + 9 * 13 + 10 * 12k - 10 * 1

Simplify each term:

= 9k + 117 + 120k - 10

Combine the like terms:

= 9k + 120k + 117 - 10

= 129k + 107

So, the correct response is "D. 129k + 107".
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