Question

Match each expression with an equivalent expression.

Question 4 options:

6x−4y

6−4x

6x−4x

6x−4

1. 2x
2. 2(3x−2)
3. 2(3−2x)
4. 2(3x−2y)

Answer 1

6x-4y=2(3x-2y),

6-4x=2(3-2x),

6x-4x=2x,

6x-4=2(3x-2)

Explanation:

We have been given 4 expressions

6x−4y, 6−4x, 6x−4x, 6x−4

Now we need to simplify or factor so that we can match each expression with an equivalent expression.

6x-4y=2(3x-2y)

6-4x=2(3-2x)

6x-4x=2x

6x-4=2(3x-2)

Now we can easily see that right side is unique for each of the given expression which can be easily matched with given choices.

Answer 2

`6x-4y` → 4.
`2(3x-2y)`

`6-4x` → 3.
`2(3-2x)`

`6x-4x` → 1.
`2x`

`6x-4` → 2.
`2(3x-2)`

Explanation:

You need to:

Factor out 2 from
`6x-4y`, then you get the equivalent expression:

`=2(3x-2y)` this matches with OPTION 4

Factor out 2 from
`6-4y`, then you get the equivalent expression:

`=2(3-2x)` this matches with OPTION 3

Make the subtraction for
`6x-4x`, then you get the equivalent expression:

`=2x` this matches with OPTION 1

Factor out 2 from
`6x-4`, then you get the equivalent expression:

`=2(3x-2)` this matches with OPTION 2