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Expand (if needed) and simplify each of the expressions below.

0 votes
A) 3 x + 5 x
B) 2( x + 7) + x
C) 2(x + 3) + 3(x + 5) + 3
D) 2 (a + 1) + 5b + 3(a + b) + 3
asked Sep 3, 2018 in ALGEBRA 1 by futai Scholar
reshown Sep 3, 2018 by bradely

1 Answer

0 votes

A)

3 x + 5 x  =  x (3 + 5)

                  =   x (7)

                  =   7x

B)

2( x + 7) + x   =   2(x) + 2(7) + x 

                         =   2x + 14 + x

                         =   2x + x + 14

                         =   x(2 + 1) + 14

                         =   x(3) + 14

                         =   3x + 14

C)

2(x + 3) + 3(x + 5) + 3  =  2(x) + 2(3) + 3(x) + 3(5) + 3

                                     =  2(x)  + 3(x) + 6 + 15 + 3

                                     =  x(2 + 3) + 24

                                     =  x(5) + 24

                                     =  5x + 24

D)

2 (a + 1) + 5b + 3(a + b) + 3  =  2 (a) + 2(1) + 5b + 3(a) + 3(b) + 3

                                              =  2 (a) + 3(a)+ 5b + 3(b) + 2 + 3

                                              =  a(2 + 3)+ b(5 + 3) + 5

                                              =  a(5)+ b(8) + 5

                                              =  5a+ 8b + 5

Answer :

A) 3 x + 5 x =  8x

B) 2( x + 7) + x  =  3x + 7

C) 2(x + 3) + 3(x + 5) + 3  =  5x + 24 

D) 2 (a + 1) + 5b + 3(a + b) + 3  =  5a+ 8b + 5.  

answered Sep 4, 2018 by homeworkhelp Mentor

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