Which expression is equivalent to 2n + 8n? Choices: (A)9n (B)10n (C)n^10 (D)n + 10

Combine like terms: Combine like terms. When adding terms with the same variable part, we simply add their coefficients. 2n + 8n = (2 + 8)nPerform addition: Perform the addition. Add the coefficients 2 and 8. 2 + 8 = 10Write final expression: Write the final expression. After adding the coefficients, we multiply the sum by the variable n. 10nMatch final expression: Match the final expression with the given choices. The expression 10n corresponds to choice (B) 10n.

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Which expression is equivalent to $2n + 8n$ ? $\newline$ Choices: $\newline$ (A) $9n$ $\newline$ (B) $10n$ $\newline$ (C) $n^{10}$ $\newline$ (D) $n + 10$

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Math Problems

Grade 8

Identify equivalent expressions involving exponents I

Full solution

Q. Which expression is equivalent to

2n + 8n

\newline

Choices:

\newline

(A)

9n

\newline

(B)

10n

\newline

(C)

n^{10}

\newline

(D)

n + 10

Combine like terms: Combine like terms. $\newline$ When adding terms with the same variable part, we simply add their coefficients. $\newline$ $2n + 8n = (2 + 8)n$
Perform addition: Perform the addition. $\newline$ Add the coefficients $2$ and $8$ . $\newline$ $2 + 8 = 10$
Write final expression: Write the final expression. $\newline$ After adding the coefficients, we multiply the sum by the variable $n$ . $\newline$ $10n$
Match final expression: Match the final expression with the given choices. $\newline$ The expression $10n$ corresponds to choice (B) $10n$ .