Simplify to create an equivalent expression. -k+2(-2k-5) Choose 1 answer: (A) -3k+10 (B) -5k-10 (c) -5k+10 (D) -3k-10

Distribute the 2: Distribute the 2 across the terms inside the parentheses. -2 times -2k gives us 4k, and -2 times -5 gives us -10. So, -k + 2(-2k - 5) becomes -k + 4k - 10.Combine like terms: Combine like terms. -k and 4k are like terms. When we combine them, we get 3k. So, -k + 4k - 10 simplifies to 3k - 10.Check the sign of the k term: Check the sign of the k term. We initially had -k and added 4k to it, which should result in 3k, not -3k. So, the expression simplifies to 3k - 10.

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Simplify to create an equivalent expression.

-k+2(-2k-5)
Choose 1 answer:
(A)
-3k+10
(B)
-5k-10
(c)
-5k+10
(D)
-3k-10

Simplify to create an equivalent expression. $\newline$ $-k+2(-2k-5)$ $\newline$ Choose $1$ answer: $\newline$ (A) $-3k+10$ $\newline$ (B) $-5k-10$ $\newline$ (C) $-5k+10$ $\newline$ (D) $-3k-10$

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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

-k+2(-2k-5)

\newline

Choose

1

answer:

\newline

(A)

-3k+10

\newline

(B)

-5k-10

\newline

(C)

-5k+10

\newline

(D)

-3k-10

Distribute the $2$ : Distribute the $2$ across the terms inside the parentheses. $-2$ times $-2k$ gives us $4k$ , and $-2$ times $-5$ gives us $-10$ . So, $-k + 2(-2k - 5)$ becomes $-k + 4k - 10$ .
Combine like terms: Combine like terms. $-k$ and $4k$ are like terms. When we combine them, we get $3k$ . So, $-k + 4k - 10$ simplifies to $3k - 10$ .
Check the sign of the $k$ term: Check the sign of the $k$ term. $\newline$ We initially had $-k$ and added $4$ k to it, which should result in $3$ k, not $-3$ k. $\newline$ So, the expression simplifies to $3$ k - $10$ .