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

Question

asked Jul 16, 2020 180k views

2 Answers

Alex Dometrius · Answer 1 · 2020-07-22T09:48:01+0000

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:

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