Question

Which expression is equivalent to

2y?

a) 4x^2
b) 2x^2
c) 4y
d) x^2 +1
e) 2y+1

Answer 1

The correct answer is (e) 2y+1 after subtracting the constant 1, which results in 2y, equivalent to the expression 2y. No other options provided match the expression 2y.

Step-by-step explanation:

The expression 2y is most directly equivalent to itself, which means any expression that retains the value of 'y' multiplied by 2 without alteration or addition of other variables or constants can be considered equivalent. Given the options presented, the correct answer is (e) 2y+1 minus the constant 1. When 1 is subtracted from option (e), it becomes 2y, which is equivalent to the expression 2y. None of the other options provided (4x², 2x², 4y, x² +1) is equivalent to 2y as they all contain different variables or operations that change the expression significantly.