Simplify to create an equivalent expression. 19-6(-k+4) Choose 1 answer: (A) 6k-5 (B) -6k-5 (c) 6k+9 (D) 6k+5

Distribute the -6: Distribute the -6 across the parentheses. To simplify the expression, we need to distribute the -6 to both terms inside the parentheses (-k + 4). Calculation: 19 - 6(-k) - 6(4) Math error check: Multiply -6 by each term: Multiply -6 by each term inside the parentheses. Now we perform the multiplication: -6 times -k gives us 6k, and -6 times 4 gives us -24. Calculation: 19 + 6k - 24 Math error check: Combine the constant terms: Combine the constant terms. We have two constant terms, 19 and -24, which we can combine by subtraction. Calculation: 6k + (19 - 24) Math error check: Simplify the constant terms: Simplify the constant terms. Subtracting 24 from 19 gives us -5. Calculation: 6k - 5 Math error check:

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Simplify to create an equivalent expression.

19-6(-k+4)
Choose 1 answer:
(A)
6k-5
(B)
-6k-5
(c)
6k+9
(D)
6k+5

Simplify to create an equivalent expression. $\newline$ $19-6(-k+4)$ $\newline$ Choose $1$ answer: $\newline$ (A) $6k-5$ $\newline$ (B) $-6k-5$ $\newline$ (C) $6k+9$ $\newline$ (D) $6k+5$

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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+4)

\newline

Choose

1

answer:

\newline

(A)

6k-5

\newline

(B)

-6k-5

\newline

(C)

6k+9

\newline

(D)

6k+5

Distribute the $-6$ : Distribute the $-6$ across the parentheses. $\newline$ To simplify the expression, we need to distribute the $-6$ to both terms inside the parentheses $(-k + 4)$ . $\newline$ Calculation: $19 - 6(-k) - 6(4)$ $\newline$ Math error check:
Multiply ext{-} $6$ by each term: Multiply ext{-} $6$ by each term inside the parentheses. $\newline$ Now we perform the multiplication: ext{-} $6$ times ext{-}k gives us $6k$ , and ext{-} $6$ times $4$ gives us ext{-} $24$ . $\newline$ Calculation: $19 + 6k - 24$ $\newline$ Math error check:
Combine the constant terms: Combine the constant terms. $\newline$ We have two constant terms, $19$ and $-24$ , which we can combine by subtraction. $\newline$ Calculation: $6k + (19 - 24)$ $\newline$ Math error check:
Simplify the constant terms: Simplify the constant terms. $\newline$ Subtracting $24$ from $19$ gives us $-5$ . $\newline$ Calculation: $6k - 5$ $\newline$ Math error check: