16Hit1600
Advanced MathEasyDistributing a constant

Advanced Math practice question

Which expression is equivalent to 3(2x − 5)?

  1. A. 6x − 15Correct
  2. B. 6x − 5
  3. C. 5x − 8
  4. D. 6x + 15

Answer: A. 6x − 15

Multiply the 3 by EACH term inside the bracket: 3 · 2x = 6x and 3 · (−5) = −15. So 3(2x − 5) = 6x − 15.

Why the other answers are wrong

B. 6x − 5
The 3 was applied to 2x but not to the −5. Distribution reaches every term in the bracket.
C. 5x − 8
5x − 8 comes from adding 3 to each term instead of multiplying. A number in front of a bracket multiplies.
D. 6x + 15
The sign of the constant flipped. 3 times −5 is −15.

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