Practice Page

Directions: See if you can supply the missing portions of these equation-solution-justifications.

1. State the missing steps and reasons to this solution of 3(x + 4) = 18.

a.   3(x + 4) = 18
b.
Distributive Property
c.   3x + 12 - 12 = 18 - 12
d.   3x + 0 = 18 - 12
e.   3x = 18 - 12
f.
Numerical Subtraction
g.  1j
h.   1j2a
i.  1j2
j.  x = 2

 

2. Justify the reasons to this solution of 3x + 2 + 7x = 2(6x - 8).

a.   3x + 2 + 7x = 2(6x - 8)
b.   3x + 7x + 2 = 2(6x - 8)
c.   x(3 + 7) + 2 = 2(6x - 8)
d.   x(10) + 2 = 2(6x - 8)
e.   10x + 2 = 2(6x - 8)
f.   10x + 2 = 12x - 16
g.   10x - 10x + 2 = 12x - 10x - 16
h.   0 + 2 = 12x - 10x - 16
i.   0 + 2 = x(12- 10) - 16
j.   0 + 2 = x(2) - 16
k.   0 + 2 = 2x - 16
l.  2 = 2x - 16
m.  2 + 16 = 2x - 16 + 16
n.  2 + 16 = 2x + 0
o.  2 + 16 = 2x
p.  18 = 2x
q.  2just1a
r.  2just2a
s.  2just2b
t.  9 = x

 


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