Question

Match each sum or difference with the correct simplified expression.

(x - 5) - (x - 1)

2x - 4

(x - 5) + (x + 1)

2x - 6

(x - 5) - (x + 1)

4.

(x - 5) + (x - 1)

-6

Answer 1

Explanation:

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Answer 2

`(x-5)-(x-1)=-4`

`=2x-4`

`(x-5)+(x+1)=-6`

`(x-5)+(x-1)=2x-6`

Explanation:

In each of the expressions we first need to open the brackets and change the sign according to the sign preceding the bracket. After that we perform simple arithmetic to find the result.

`(x-5)-(x-1)=x-5-x+1`

`=-4`

`(x-5)+(x+1)=x-5+x+1`

`=2x-4`

`(x-5)-(x+1)=x-5-x-1`

`=-6`

`(x-5)+(x-1)=x-5+x-1`

`=2x-6`

The answers are

`(x-5)-(x-1)=-4`

`(x-5)+(x+1)=2x-4`

`(x-5)+(x+1)=-6`

`(x-5)+(x-1)=2x-6`