Which expression is equivalent to 7w + 5w? Choices: (A)w + 12 (B)11w (C)12w (D)w^12

Combine like terms: Combine like terms. Identify the like terms in the expression 7w and 5w. Both terms have the variable 'w' and can be combined by adding their coefficients. 7w + 5w = (7 + 5)wPerform the addition: Perform the addition. Add the coefficients of 'w' together. (7 + 5)w = 12wMatch with given choices: Match the result with the given choices. The result from the previous step is 12w, which needs to be matched with one of the given choices. (A) w + 12 (Incorrect, as it suggests addition of w and 12, not multiplication) (B) 11w (Incorrect, as the coefficient is 11, not 12) (C) 12w (Correct, as it matches the result from the calculation) (D) w^12 (Incorrect, as it suggests w raised to the power of 12, not multiplication by 12)

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Which expression is equivalent to $7w + 5w$ ? $\newline$ Choices: $\newline$ (A) $w + 12$ $\newline$ (B) $11w$ $\newline$ (C) $12w$ $\newline$ (D) $w^{12}$

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Math Problems

Grade 8

Identify equivalent expressions involving exponents I

Full solution

Q. Which expression is equivalent to

7w + 5w

\newline

Choices:

\newline

(A)

w + 12

\newline

(B)

11w

\newline

(C)

12w

\newline

(D)

w^{12}

Combine like terms: Combine like terms. $\newline$ Identify the like terms in the expression $7w$ and $5w$ . $\newline$ Both terms have the variable ' $w$ ' and can be combined by adding their coefficients. $\newline$ $7w + 5w = (7 + 5)w$
Perform the addition: Perform the addition. $\newline$ Add the coefficients of ' $w$ ' together. $\newline$ $(7 + 5)w = 12w$
Match with given choices: Match the result with the given choices. $\newline$ The result from the previous step is $12w$ , which needs to be matched with one of the given choices. $\newline$ (A) $w + 12$ (Incorrect, as it suggests addition of $w$ and $12$ , not multiplication) $\newline$ (B) $11w$ (Incorrect, as the coefficient is $11$ , not $12$ ) $\newline$ (C) $12w$ (Correct, as it matches the result from the calculation) $\newline$ (D) $w^{12}$ (Incorrect, as it suggests $w$ raised to the power of $12$ , not multiplication by $12$ )