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The algebraic expression for the stateme...

The algebraic expression for the statement 'Thrice of x is added to twice of y is ________ .

A

`3x + 2y`

B

`3x +y`

C

`3 (x + y)`

D

`2x + 3y`

Text Solution

AI Generated Solution

The correct Answer is:
To find the algebraic expression for the statement "Thrice of x is added to twice of y," we can break it down step by step. ### Step-by-Step Solution: 1. **Identify "Thrice of x":** - The phrase "thrice of x" means 3 times x. In algebraic terms, this is represented as \(3x\). 2. **Identify "Twice of y":** - The phrase "twice of y" means 2 times y. In algebraic terms, this is represented as \(2y\). 3. **Combine the two expressions:** - The statement says "is added to," which means we need to add the two expressions we found. Therefore, we add \(3x\) and \(2y\). 4. **Write the final expression:** - Combining these, we get the algebraic expression: \[ 3x + 2y \] ### Final Answer: The algebraic expression for the statement "Thrice of x is added to twice of y" is \(3x + 2y\).
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