Question

Which of the following expressions are equal to 6a-15?

A. -a-10
B. 3(5a+2)
C. 6a-7
D. 3(2a-5)
E. 3(a+2)
F. 6(a-15)
G. -6a-4

Answer 1

After examining each option by simplifying or expanding them, we can see that the only expression equivalent to 6a-15 is option D, which is 3(2a-5).

Step-by-step explanation:

To find which expressions are equal to 6a-15, we need to simplify or expand the given options to see if any are equivalent:

• A. -a-10 – This expression cannot simplify to 6a-15 because the coefficients of a do not match.
• B. 3(5a+2) – Expanding this gives 15a+6, which is not equal to 6a-15.
• C. 6a-7 – This expression is not equal to 6a-15 because the constant term is different.
• D. 3(2a-5) – Expanding gives 6a-15, which matches exactly with what we're seeking.
• E. 3(a+2) – Expanding this gives 3a+6, not equal to 6a-15.
• F. 6(a-15) – This simplifies to 6a-90, which is not equal to 6a-15.
• G. -6a-4 – The coefficient of a is negative and the constant term does not match, so this is not equal to 6a-15.

The only expression that equals 6a-15 is option D.