Which pair shows equivalent expressions?
A.2(2/5x + 2)=2 2/5x + 1
B.2(2/5x + 2)=4/5x + 4
C.2(2/5x + 4)=4/5x + 2
D.2(2/5x + 4)=2 2/5x + 8
Solution:
[tex] 2(\frac{2}{5}x + 2) [/tex]
Let us distribute 2 inside the parenthesis.
That is, we use distributive property:
a(b+c)=ab+ac
[tex] 2(\frac{2}{5}x + 2) =\frac{2*2}{5}x+2*2 [/tex]
So, [tex] 2(\frac{2}{5}x + 2) =\frac{4}{5}x+4 [/tex]
Answer:Option (b)
[tex] 2(\frac{2}{5}x+4) [/tex]
Applying distributive property, a(b+c)=ab+ac
[tex] 2(\frac{2}{5}x+4) =2*\frac{2}{5} x+2*4 [/tex]
[tex] 2(\frac{2}{5}x+4) =\frac{2*2}{5} x+2*4 [/tex]
[tex] 2(\frac{2}{5}x+4) =\frac{4}{5} x+8 [/tex]
So, Option (B) is correct.
