Advanced MathEasyDistributing a constant
Advanced Math practice question
Which expression is equivalent to 3(2x − 5)?
- A. 6x − 15Correct
- B. 6x − 5
- C. 5x − 8
- 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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