Simplify to create an equivalent expression. 19-6(-k-2) Choose 1 answer: (A) -6k+31 (B) 25 k+7 (C) 6k+31 (D) 25 k+31

Distribute the -6: Distribute the -6 across the terms inside the parentheses. We need to multiply -6 by each term inside the parentheses (-k and -2). Calculation: -6 * -k = 6k and -6 * -2 = 12Combine with constant: Combine the distributed terms with the constant outside the parentheses. Now we add the results from the distribution to the constant 19. Calculation: 19 + 6k + 12Combine like terms: Combine like terms, which are the constants 19 and 12. We add the constants together to simplify the expression further. Calculation: 19 + 12 = 31Write final expression: Write the final simplified expression. The final expression combines the result from Step 3 with the variable term from Step 2. Calculation: 6k + 31

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Simplify to create an equivalent expression.

19-6(-k-2)
Choose 1 answer:
(A)
-6k+31
(B)
25 k+7
(C)
6k+31
(D)
25 k+31

Simplify to create an equivalent expression. $\newline$ $19-6(-k-2)$ $\newline$ Choose $1$ answer: $\newline$ (A) $-6k+31$ $\newline$ (B) $25k+7$ $\newline$ (C) $6k+31$ $\newline$ (D) $25k+31$

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Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

Full solution

Q. Simplify to create an equivalent expression.

\newline

19-6(-k-2)

\newline

Choose

1

answer:

\newline

(A)

-6k+31

\newline

(B)

25k+7

\newline

(C)

6k+31

\newline

(D)

25k+31

Distribute the $-6$ : Distribute the $-6$ across the terms inside the parentheses. $\newline$ We need to multiply $-6$ by each term inside the parentheses ( $-k$ and $-2$ ). $\newline$ Calculation: $-6 \times -k = 6k$ and $-6 \times -2 = 12$
Combine with constant: Combine the distributed terms with the constant outside the parentheses. $\newline$ Now we add the results from the distribution to the constant $19$ . $\newline$ Calculation: $19 + 6k + 12$
Combine like terms: Combine like terms, which are the constants $19$ and $12$ . $\newline$ We add the constants together to simplify the expression further. $\newline$ Calculation: $19 + 12 = 31$
Write final expression: Write the final simplified expression. $\newline$ The final expression combines the result from Step $3$ with the variable term from Step $2$ . $\newline$ Calculation: $6k + 31$