Question

Which expression is equivalent to 14m+34m−38(m+1)?

A. 58m+38A. 5 eighths m plus 3 eighths
B. 58m−38B. 5 eighths m minus 3 eighths
C. 38m+58C .3 eighths m plus 5 eighths
D. 38m−58D. 3 eighths m minus 5 eighths"

Answer 1

The equivalent expression to 14m + 34m - 38(m + 1) simplifies to 10m - 38, which is not one of the provided answer choices.

Step-by-step explanation:

To find an expression equivalent to 14m + 34m - 38(m + 1), first combine like terms (14m and 34m) and then distribute the -38 across the parentheses:

• 14m + 34m = 48m
• -38(m + 1) = -38m - 38

Now, combine all the terms:

• 48m - 38m = 10m
• Since -38 does not have the variable 'm', it remains as is in the expression.

This simplifies to:

• 10m - 38

Therefore, none of the answer choices provided (A. 58m + 38, B. 58m - 38, C. 38m + 58, D. 38m - 58) are correct. The equivalent expression is 10m - 38.