The equivalent expressions are:
A) 16 - 4x = 4(4 - x)
B) 4x + 8 = 4(x + 2)
C) -8b - 24 = -8(b + 3)
D) 54 + 9x = 9(6 + x)
Solution:
Given that we have to write the equivalent expression
A) 16 - 4x
Take 4 as common factor out
16 - 4x = 4(4 - x)
Thus the equivalent expression for 16 - 4x is 4(4 - x)
B) 4x + 8
Take 4 as common factor out
4x + 8 = 4(x + 2)
Thus the equivalent expression for 4x + 8 is 4(x + 2)
C) -8b - 24
Take -8 as common factor out
-8b - 24 = -8(b + 3)
We can also take 8 as common factor out
-8b - 24 = 8( -b - 3)
Thus the equivalent expression for -8b - 24 is -8(b + 3) or 8(-b - 3)
D) 54 + 9x
Take 9 as common factor out
54 + 9x = 9(6 + x)
Thus the equivalent expression for 54 + 9x is 9(6 + x)