Question

Which expression is NOT equivalent to the other 3 expressions

A: 5z + z - 1
B: 5z - 1 - z
C: 7z - (1+z)
D: (5z - 1) + z

Answer 1

To determine which expression is NOT equivalent to the other three expressions, we can simplify each expression and compare them.

A: 5z + z - 1 = 6z - 1

B: 5z - 1 - z = 4z - 1

C: 7z - (1+z) = 6z - 1

D: (5z - 1) + z = 6z - 1

We can see that expressions A, C, and D are equivalent since they all simplify to 6z - 1. Expression B, however, simplifies to 4z - 1, which is not the same as the other three expressions.

Therefore, the expression that is NOT equivalent to the other three expressions is B: 5z - 1 - z.