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Select the expressions that are equivalent to $5m + 4m$ . $\newline$ Multi-select Choices: $\newline$ (A) $m + 9m$ $\newline$ (B) $8m$ $\newline$ (C) $m \times 9$ $\newline$ (D) $m + 8m$

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Simplify radical expressions with variables II

Full solution

Q. Select the expressions that are equivalent to

5m + 4m

.

\newline

Multi-select Choices:

\newline

(A)

m + 9m

\newline

(B)

8m

\newline

(C)

m \times 9

\newline

(D)

m + 8m

Combine terms: Combine the terms $5m$ and $4m$ to find their sum. $\newline$ Calculation: $5m + 4m = 9m$ .
Calculate sum: Compare the result with each choice. $\newline$ (A) $m + 9m = 10m$ (not equal to $9m$ ). $\newline$ (B) $8m$ (not equal to $9m$ ). $\newline$ (C) $m \times 9 = 9m$ (incorrect representation, should be addition). $\newline$ (D) $m + 8m = 9m$ (correct).

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