Question

Please help me solve this, Thank you.

- Use the properties of operations to write an expression equivalent to 4x + 1/2 + 2x - 3.

Answer 1

Expression equivalent to
`4x + (1)/(2)  + 2x - 3  = 6x -((5)/(2))`

Explanation:

Here, the given expression is :
`4x + (1)/(2)  + 2x - 3.`

Now, simplifying the given expression by adding Like terms with Like terms, we get:

`4x + (1)/(2)  + 2x - 3  = (4x + 2x) + ((1)/(2)  -3)\\=( 6x)  + (1 - 3(2))/(2)  = 6x + ((1-6)/(2)) \\=6x -(5)/(2) \\\implies 4x + (1)/(2)  + 2x - 3  = 6x -((5)/(2))`

Hence an expression equivalent to
`4x + (1)/(2)  + 2x - 3  = 6x -((5)/(2))`