Which expression is equivalent to 3(q + 6)? Choices: (A)18q (B)3q + 18 (C)9q (D)18q + 3

Distribute 3 to q and 6: Distribute the 3 to both q and 6. 3(q + 6) = 3*q + 3*6Multiply 3 by q and 6: Multiply 3 by q and 3 by 6. 3*q = 3q 3*6 = 18 So, 3(q + 6) = 3q + 18Find equivalent expression: Look at the choices to find the equivalent expression. (A) 18q (This is not correct because it does not include the +18 part.) (B) 3q + 18 (This is correct because it matches our result from Step 2.) (C) 9q (This is not correct because it represents 3 times q, not 3 times q plus 18.) (D) 18q + 3 (This is not correct because it represents 18 times q plus 3, not 3 times q plus 18.)

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Which expression is equivalent to $3(q + 6)$ ? $\newline$ Choices: $\newline$ (A) $18q$ $\newline$ (B) $3q + 18$ $\newline$ (C) $9q$ $\newline$ (D) $18q + 3$

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Math Problems

Grade 7

Identify equivalent linear expressions II

Full solution

Q. Which expression is equivalent to

3(q + 6)

\newline

Choices:

\newline

(A)

18q

\newline

(B)

3q + 18

\newline

(C)

9q

\newline

(D)

18q + 3

Distribute $3$ to q and $6$ : Distribute the $3$ to both $q$ and $6$ . $3(q + 6) = 3\cdot q + 3\cdot 6$
Multiply $3$ by $q$ and $6$ : Multiply $3$ by $q$ and $3$ by $6$ .
$3\times q = 3q$
$3\times 6 = 18$
So, $3(q + 6) = 3q + 18$
Find equivalent expression: Look at the choices to find the equivalent expression. $\newline$ (A) $18q$ (This is not correct because it does not include the $+18$ part.) $\newline$ (B) $3q + 18$ (This is correct because it matches our result from Step $2$ .) $\newline$ (C) $9q$ (This is not correct because it represents $3$ times $q$ , not $3$ times $q$ plus $18$ .) $\newline$ (D) $18q + 3$ (This is not correct because it represents $18$ times $q$ plus $3$ , not $3$ times $q$ plus $18$ .)