Equivalent expressions are expressions that work the same even though they look different.
If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
Example1
the two expressions 3y+5y−3+8 and 8y+5 equivalent
because if we solve 3y+5y−3+8 we get (3y+5y) = 8y and (-3+8) = 5
so it becomes 8y+5 so its equivalent?
Example 2
For given expression, select one correct equivalent expression from the given options.
8y + 4y + 2y
A – 11y
B – y + 13
C – 7y – 6y
D – 9y + 5y
9y + 5y = 14y = 8y + 4y + 2y
What are equivalent expressions?
Ans: Equivalent expressions are expressions that look different but resolve to same value