Select the expressions that are equivalent to 7(q + 4). Multi-select Choices: (A)(4q)7 (B)11q (C)(q + 4)7 (D)4(q + 7)

Distribute 7: Distribute 7 into the parentheses: 7(q + 4) = 7q + 28. Compare with choices: Compare the result with each choice: (A) (4q)7 = 28q, which is not equal to 7q + 28. Choice (A): (B) 11q does not match 7q + 28. Choice (B): (C) (q + 4)7 = 7(q + 4), which simplifies to 7q + 28, matching our expression. Choice (C): (D) 4(q + 7) = 4q + 28, which is not equal to 7q + 28.

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Select the expressions that are equivalent to $7(q + 4)$ . $\newline$ Multi-select Choices: $\newline$ (A) $(4q)7$ $\newline$ (B) $11q$ $\newline$ (C) $(q + 4)7$ $\newline$ (D) $4(q + 7)$

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Math Problems

Algebra 2

Simplify rational expressions

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Q. Select the expressions that are equivalent to

7(q + 4)

\newline

Multi-select Choices:

\newline

(A)

(4q)7

\newline

(B)

11q

\newline

(C)

(q + 4)7

\newline

(D)

4(q + 7)

Distribute $7$ : Distribute $7$ into the parentheses: $7(q + 4) = 7q + 28$ .
Compare with choices: Compare the result with each choice: $\newline$ (A) $(4q)^7 = 28q$ , which is not equal to $7q + 28$ .
Choice (A): $(B) 11q \text{ does not match } 7q + 28.$
Choice (B): $(C) (q + 4)7 = 7(q + 4)$ , which simplifies to $7q + 28$ , matching our expression.
Choice (C): $(D) 4(q + 7) = 4q + 28$ , which is not equal to $7q + 28$ .