Question

The two expression below are equivalent

y(2.5+7)+y-2

10.5y-2

which statement best explains why the expressions are equivalent

a the expressions have the same value for any value of y
b the expressions have the same value for only whole number values of y
c the expressions have the same value only when y is an odd number.
d the expressions have the same value only when y is an even number.

Answer 1

The two expressions given are:

`y(2.5+7)+y-2` and
`10.5y-2`

The first expression can be simplified to be:

`y(2.5+7)+y-2=9.5y+y-2=10.5y-2`

As we can see, simplifying the first expression gives us the second expression and thus we can see that both the expressions are equal and they will remain equal for any value of y.

Thus, out of the given options, Option A is the correct one. That is, "the expressions have the same value for any value of y".