19-6(-k-2) Which of the following is equivalent to the given expression? Choose 1 answer: (A) -6k+31 (B) 25 k+7 (C) 6k+31 (D) 25 k+31

Distribute -6 across terms: Distribute the -6 across the terms inside the parentheses. -6 * -k = 6k -6 * -2 = 12Combine distributed terms with constant: Combine the distributed terms with the constant outside the parentheses. 19 + 6k + 12Add constants: Add the constants 19 and 12. 19 + 12 = 31Combine result with 6k: Combine the result from Step 3 with the term 6k. 6k + 31Match result with choices: Match the result with the given choices. The equivalent expression is 6k + 31, which corresponds to choice (C).

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19-6(-k-2)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
-6k+31
(B)
25 k+7
(C)
6k+31
(D)
25 k+31

$19-6(-k-2)$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $-6 k+31$ $\newline$ (B) $25 k+7$ $\newline$ (C) $6 k+31$ $\newline$ (D) $25 k+31$

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Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

19-6(-k-2)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

-6 k+31

\newline

(B)

25 k+7

\newline

(C)

6 k+31

\newline

(D)

25 k+31

Distribute $-6$ across terms: Distribute the $-6$ across the terms inside the parentheses. $-6 \times -k = 6k$ $-6 \times -2 = 12$
Combine distributed terms with constant: Combine the distributed terms with the constant outside the parentheses. $19 + 6k + 12$
Add constants: Add the constants $19$ and $12$ . $\newline$ $19 + 12 = 31$
Combine result with $6$ k: Combine the result from Step $3$ with the term $6$ k. $\newline$ $6$ k + $31$
Match result with choices: Match the result with the given choices. $\newline$ The equivalent expression is $6k + 31$ , which corresponds to choice (C).