- RATIONAL EXPRESSIONS–
Set 30 (Answers begin on page 202)
This problem set focuses on basic properties and sim-
plification of rational expressions.
465.Simplify:
a.^2 zz–– 55
b.^2 zz–+ 55
c.^2 zz+– 55
d.^2 zz++ 55
466.Simplify:
a.–^1 x
b. 25 x
c.– 25 x
d.^1 x
467.Simplify:z 83 z––^1362 z
a.z(z 8 +4)
b.z(z 8 –4)
c.–z(z 8 +4)
d.–z(z 8 –4)
468.Simplify:
y 82 – –y^64 = = = –(y+ 8)
a.–y+ 8
b.–(y+ 8)
c.–(y– 8)
d.y+ 8
469.Simplify:
a.x–^1 8
b.x–x 8
c.xx+–8^8
d.x– 8
e.x+ 8
470.Simplify:
a.xx+–6^2
b.(x+2)x(x+6)
c. 2 x–^1 12
d. 4 xx(x+–^2 6)
e.^2 xx(x–+ 6 2)
471.Which of the following makes the fraction
undefined?
a.–6
b.–4
c.–3
d.–2
e.–1
472.The domain of the expression is
a.(–∞,–2)∪(2,∞)
b.(–∞,2)∪(2,∞)
c.(–∞,-2)∪(2,0)∪(0,2)∪(2,∞)
d.(–,∞-2)∪(¬2,2)∪(2,∞)
473.Simplify:
a.x+^4 5
b.x+x^4
c.xx++^45
d.
e.–
474.Which of the following could be equal to 4 xx?
a.–^14
b.^04
c.0.20
d. 142
e. 250
^16
x^3 –20x
x+ 4
x^2 +5x
x^2 – 16
x^3 + x^2 – 20x
^2 x
x^3 – 4x
x^2 +11x+ 30
4 x^3 +44x^2 +120x
^2 x^2 + 4x
4 x^3 – 16x^2 – 48x
x^2 + 8x
x^3 – 64x
(y– 8)(y+8)
–(y–8)
(y– 8)(y+8)
8–y
25(–x)^4
x(5x^2 )^2
^2 z^2 – z–15
z^2 +2z– 15