Simplify to create an equivalent expression. -k-(-8k+7) Choose 1 answer: (A) 7k-7 (B) -7k-7 (C) 7k+7 (D) -7k+7

Distribute negative sign: First, we need to distribute the negative sign across the expression inside the parentheses. This means we will change the sign of each term inside the parentheses. -k - (-8k + 7) becomes -k + 8k - 7.Combine like terms: Next, we combine like terms. We have -k and +8k which are like terms. Combining -k and +8k gives us 7k.Bring down -7: Now, we bring down the -7 from the previous step to complete the simplification. So, the expression -k + 8k - 7 simplifies to 7k - 7.Compare with answer choices: We compare the simplified expression with the answer choices. The simplified expression is 7k - 7, which matches answer choice (A).

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Simplify to create an equivalent expression.

-k-(-8k+7)
Choose 1 answer:
(A)
7k-7
(B)
-7k-7
(C)
7k+7
(D)
-7k+7

Simplify to create an equivalent expression. $\newline$ $-k-(-8k+7)$ $\newline$ Choose $1$ answer: $\newline$ (A) $7k-7$ $\newline$ (B) $-7k-7$ $\newline$ (C) $7k+7$ $\newline$ (D) $-7k+7$

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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-(-8k+7)

\newline

Choose

1

answer:

\newline

(A)

7k-7

\newline

(B)

-7k-7

\newline

(C)

7k+7

\newline

(D)

-7k+7

Distribute negative sign: First, we need to distribute the negative sign across the expression inside the parentheses. This means we will change the sign of each term inside the parentheses. $-k - (-8k + 7)$ becomes $-k + 8k - 7$ .
Combine like terms: Next, we combine like terms. We have $-k$ and $+8k$ which are like terms. Combining $-k$ and $+8k$ gives us $7k$ .
Bring down $-7$ : Now, we bring down the $-7$ from the previous step to complete the simplification. $\newline$ So, the expression $-k + 8k - 7$ simplifies to $7k - 7$ .
Compare with answer choices: We compare the simplified expression with the answer choices. The simplified expression is $7k - 7$ , which matches answer choice $(A)$ .