Question

All of the following are equivalent except____.
4y
(4)(y)
4•y
4+y

Answer 1

All the options are equivalent except;

4 + y

Explanation:

The question relates to the number of ways the operation of a multiplication operation can be represented algebra

1) The coefficient of a variable is a multiplier of the variable

Therefore;

4y = 4 × y

2) When given two numbers or variables in a mathematical expression that are separated by parenthesis, then it is an indication that the two numbers are meant to be multiplied

Therefore;

(4)(y) = 4 × y

3) The dot symbol, '·', placed between two numbers, a number and a variable or two variables, is a representation of multiplication of the two quantities

Therefore;

4·y = 4 × y

However, multiplication, and addition are different mathematical operations that produce different results when applied;

Therefore;

4 + y ≠ 4 × y.