Question

Determine whether the following expressions are equivalent: 94a + 28 and 108a - 14(a - 2)

Answer 1

To determine whether the expressions are equivalent, we need to simplify both expressions and compare them.

Starting with the first expression, 94a + 28, there are no like terms to combine.

Now let's simplify the second expression, 108a - 14(a - 2):

First, we can distribute the -14 to the terms inside the parentheses:
108a - 14a + 28

Next, we combine like terms:
(108a - 14a) + 28
94a + 28

We can see that the simplified form of the second expression is 94a + 28, which is equal to the first expression.

Therefore, the two expressions are equivalent.