Question

Drag the tiles to the boxes to form correct pairs. (please help)

Match the pairs of equivalent expressions.

Answer 1

Explanation:

1).
`(4t-(8)/(5))-(3-(4)/(3)t)=(4t+(4)/(3)t)+(-(8)/(5)-3)`

`=((12)/(3)t+(4)/(3)t)-((8)/(5)+(15)/(5))`

`=(16)/(3)t-(23)/(5)`

2). 7t - 22

3). 5(2t + 1) + (-7t + 28) = 10t + 5 - 7t + 28

= (10t - 7t) + 33

= 3t + 33

4).
`(16)/(3)t-(23)/(5)`

5).
`(-(9)/(2)t+3)+((7)/(4)t+33)=(-(9)/(2)t+(7)/(4)t)+(3+33)`

`=(-(18)/(4)t+(7)/(4)t)+36`

`=((-18+7)/(4))t+36`

`=-(11)/(4)t+36`

6).
`-(11)/(4)t+36`

7). 3(3t - 4) - (2t + 10) = 9t - 12 - 2t - 10

= (9t - 2t) - ( 12 + 10)

= 7t - 22

8). 3t + 33

Therefore, equivalent expressions are,

a).
`(4t-(8)/(5))-(3-(4)/(3)t)=(16)/(3)t-(23)/(5)`

b). 7t - 22 = 3(3t - 4) - (2t + 10)

c).
`(-(9)/(2)t+3)+((7)/(4)t+33)=-(11)/(4)t+36`

d). 5(2t + 1) + (-7t + 28) = 3t + 33