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Which expression is equivalent to 3(q+6)3(q + 6)?\newlineChoices:\newline(A) 18q18q\newline(B) 3q+183q + 18\newline(C) 9q9q\newline(D) 18q+318q + 3

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Q. Which expression is equivalent to 3(q+6)3(q + 6)?\newlineChoices:\newline(A) 18q18q\newline(B) 3q+183q + 18\newline(C) 9q9q\newline(D) 18q+318q + 3
  1. Distribute 33 to q and 66: Distribute the 33 to both qq and 66.3(q+6)=3⋅q+3⋅63(q + 6) = 3\cdot q + 3\cdot 6
  2. Multiply 33 by qq and 66: Multiply 33 by qq and 33 by 66.
    3×q=3q3\times q = 3q
    3×6=183\times 6 = 18
    So, 3(q+6)=3q+183(q + 6) = 3q + 18
  3. Find equivalent expression: Look at the choices to find the equivalent expression.\newline(A) 18q18q (This is not correct because it does not include the +18+18 part.)\newline(B) 3q+183q + 18 (This is correct because it matches our result from Step 22.)\newline(C) 9q9q (This is not correct because it represents 33 times qq, not 33 times qq plus 1818.)\newline(D) 18q+318q + 3 (This is not correct because it represents 1818 times qq plus 33, not 33 times qq plus 1818.)

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