Google Classroom Which expressions are equivalent to 2(-6c+3)+4c ? Choose all answers that apply: A -8c+6 B 3(-4c+2)+4c c None of the above

Distribute and Simplify: First, we need to distribute the 2 into the parentheses. 2 * (-6c) + 2 * 3 + 4c This simplifies to: -12c + 6 + 4cCombine Like Terms: Next, we combine like terms, which are the terms with c. -12c + 4c + 6 This simplifies to: -8c + 6Check Choice A: Now, let's check each answer choice to see if it is equivalent to our simplified expression -8c + 6. For choice A: -8c + 6 This is exactly the same as our simplified expression.Distribute and Simplify for Choice B: For choice B: We need to distribute the 3 into the parentheses. 3 * (-4c) + 3 * 2 + 4c This simplifies to: -12c + 6 + 4cCombine Like Terms for Choice B: Next, we combine like terms for choice B. -12c + 4c + 6 This simplifies to: -8c + 6Verify Correct Answers: Since both choice A and choice B simplify to -8c + 6, which is equivalent to our original expression 2(-6c+3)+4c, both choices are correct.

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Which expressions are equivalent to $2(-6c+3)+4c$ ? $\newline$ Choose all answers that apply: $\newline$ A) $-8c+6$ $\newline$ B) $3(-4c+2)+4c$ $\newline$ C) None of the above

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Math Problems

Grade 8

Solve a system of equations using any method

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Q. Which expressions are equivalent to

2(-6c+3)+4c

\newline

Choose all answers that apply:

\newline

-8c+6

\newline

3(-4c+2)+4c

\newline

C) None of the above

Distribute and Simplify: First, we need to distribute the $2$ into the parentheses. $2 \times (-6c) + 2 \times 3 + 4c$ This simplifies to: $-12c + 6 + 4c$
Combine Like Terms: Next, we combine like terms, which are the terms with $c$ . $-12c + 4c + 6$ This simplifies to: $-8c + 6$
Check Choice A: Now, let's check each answer choice to see if it is equivalent to our simplified expression $-8c + 6$ . $\newline$ For choice A: $\newline$ $-8c + 6$ $\newline$ This is exactly the same as our simplified expression.
Distribute and Simplify for Choice B: For choice B: $\newline$ We need to distribute the $3$ into the parentheses. $\newline$ $3 \times (-4c) + 3 \times 2 + 4c$ $\newline$ This simplifies to: $\newline$ $-12c + 6 + 4c$
Combine Like Terms for Choice B: Next, we combine like terms for choice B. $\newline$ $-12c + 4c + 6$ $\newline$ This simplifies to: $\newline$ $-8c + 6$
Verify Correct Answers: Since both choice A and choice B simplify to $-8c + 6$ , which is equivalent to our original expression $2(-6c+3)+4c$ , both choices are correct.