1001 Algebra Problems.PDF

• 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