Which expression is equivalent to 8w + 4w? Choices: (A)w + 12 (B)12w (C)w^12 (D)11w

Identify Like Terms: To find an expression equivalent to 8w + 4w, we need to combine like terms. Like terms are terms that have the same variable raised to the same power. In this case, both 8w and 4w are like terms because they both have the variable w raised to the first power.Combine Coefficients: We add the coefficients (the numerical parts) of the like terms together while keeping the variable part the same. So, we add 8 and 4 to get 12, and we keep the variable w. Calculation: 8w + 4w = (8 + 4)w = 12wCompare with Choices: Now we compare our result with the given choices to find the equivalent expression. (A) w + 12 is not correct because it suggests adding w and 12, not multiplying them. (B) 12w is correct because it represents the sum of 8w and 4w. (C) w^12 is not correct because it suggests w raised to the power of 12, which is not the same as adding 8w and 4w. (D) 11w is not correct because it suggests 11 times w, which does not equal the sum of 8w and 4w.

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Which expression is equivalent to $8w + 4w$ ? $\newline$ Choices: $\newline$ (A) $w + 12$ $\newline$ (B) $12w$ $\newline$ (C) $w^{12}$ $\newline$ (D) $11w$

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Q. Which expression is equivalent to

8w + 4w

\newline

Choices:

\newline

(A)

w + 12

\newline

(B)

12w

\newline

(C)

w^{12}

\newline

(D)

11w

Identify Like Terms: To find an expression equivalent to $8w + 4w$ , we need to combine like terms. Like terms are terms that have the same variable raised to the same power. In this case, both $8w$ and $4w$ are like terms because they both have the variable $w$ raised to the first power.
Combine Coefficients: We add the coefficients (the numerical parts) of the like terms together while keeping the variable part the same. So, we add $8$ and $4$ to get $12$ , and we keep the variable $w$ . $\newline$ Calculation: $8w + 4w = (8 + 4)w = 12w$
Compare with Choices: Now we compare our result with the given choices to find the equivalent expression. $\newline$ (A) $w + 12$ is not correct because it suggests adding $w$ and $12$ , not multiplying them. $\newline$ (B) $12w$ is correct because it represents the sum of $8w$ and $4w$ . $\newline$ (C) $w^{12}$ is not correct because it suggests $w$ raised to the power of $12$ , which is not the same as adding $8w$ and $4w$ . $\newline$ (D) $w$ $1$ is not correct because it suggests $w$ $2$ times $w$ , which does not equal the sum of $8w$ and $4w$ .