Question

Drag the tiles to the boxes to form correct pairs.
Match the pairs of equivalent expressions.

Answer 1

Explanation:

look this solution

Answer 2

Answer with explanation:

a)

`(4t-(8)/(5))-(3-(4)/(3)t)`

On opening the parentheses term we get:

`4t-(8)/(5)-3+(4)/(3)t`

On combining the like terms:

`4t+(4)/(3)t-(8)/(5)-3`

`=(4t* 3+4t)/(3)-(8+3* 5)/(5)\\\\\\=(12t+4t)/(3)-(8+15)/(5)\\\\=(16t)/(3)-(23)/(5)`

b)

`5(2t+1)+(-7t+28)`

on using the distributive property for the first terms and opening the parentheses for the second term we have:

`5* 2t+5* 1-7t+28\\\\=10t+5-7t+28\\\\=10t-7t+5+28\\\\=3t+33`

c)

`(-(9)/(2)t+3)+((7)/(4)t+33)`

On combing the like terms we have:

`-(9)/(2)t+(7)/(4)t+3+33\\\\=(-9t* 2+7t)/(4)+36\\\\\\=(-18t+7t)/(4)+36\\\\\\=(-11t)/(4)+36`

d)

`3(3t-4)-(2t+10)`

on using the distributive property for the first terms and opening the parentheses for the second term we have:

`=3* 3t+3* (-4)-2t-10\\\\\\=9t-12-2t-10`

Now, on combining the like terms we have:

`=9t-2t-12-10\\\\=7t-22`