CHAPTER 8 / ESSENTIAL ALGEBRA I SKILLS 321
7.D Plugging in x=1 gives you 0 + 1 + 2 =3, and
(D) is the only choice that yields 3. Or:
x
x
x
x
x
x
xx
x
2 1 22
1
11
2
21
3
11
−
+
+
()+ −
+
+
()+ −
+
=
()+ ()−
++
+
()++()+−
+
+
()++()+−
+
=−
1
11 11
2
21 21
3
1
xx
x
xx
x
()(x +()xx++()^13 = x
8.B
Substitute
9.E
Square both sides:
Add 2: n
n
(^22) x 2
1
+=+ 2
n
n
n
n
− x
⎛
⎝⎜
⎞
⎠⎟
=−+ =()
1
2
1
2
2
2
2
n
n
−=x
1
yp
p
p
p
p
p
p
=
()+
()−
=
()+
()−
=
+
−
3
36
36
32
32
2
2
:
y
y
yy
yy
y
y
2
2