Question

Which expression is equivalent to -3v + 7, -4v + 2?

a) -v + 9
b) -7v + 9
c) v - 5
d) 7v - 9s

Answer 1

The expression equivalent to the combination of -3v + 7 and -4v + 2 is option b) -7v + 9.

Step-by-step explanation:

To determine which expression is equivalent to -3v + 7 or -4v + 2, you would combine like terms if these expressions were added or subtracted from each other. However, since the question does not specify an operation between them, let's look at the options provided to see if any could result from combining the two expressions:

• Option a) -v + 9 cannot be correct, as there is no logical combination of the two expressions that would lead to a coefficient of -1 for v.
• Option b) -7v + 9 is the sum of -3v + 7 and -4v + 2, since (-3v - 4v) = -7v and (7 + 2) = 9.
• Option c) v - 5 cannot be obtained from combining the two given expressions.
• Option d) 7v - 9 is incorrect as it does not align with the signs or coefficients of the given expressions.

Therefore, the correct answer is option b) -7v + 9.