1001 Algebra Problems.PDF

475.Which of the following values make the expression

undefined?

a.–16

b.–4

c.–1

d. 1

e. 16

476.Which of the following lists of values makes the
expression undefined?
a.–4, 1
b.–4, 0 1
c.–4, –1, 0
d.–1, 0 ,4
e.0, 1, 4

477.Simplify:

a. 2 xx++^11

b. 2 xx–+^11

c. 2 xx––^11

d. 2 xx+–^11

478.Simplify:

a.x

2

4

+

x

^2

b.x

2

4

• x
  ^2
  c.–x

2

4

• x
  ^2
  d.–x

2

4

+

x

^2

479.Simplify:

a. 2 ab+

2

 1

b.– 2 ab+

2

 1

c. 2 ab–

2

 1

d.– 2 ab–

2

 1

480. =

a.

b.

c.^13 

d.^19 

Set 31 (Answers begin on page 203)

This problem set focuses on adding and subtracting

rational expressions.

481.Compute and simplify:^4 xx––^495 + ^2 xx–– 99 – ^3 xx–+ 91

a.^3 xx––^595

b.^3 xx––^593

c.^33 xx––^5257

d.^33 xx––^5237

482.Compute and simplify: +

a.

b. 7 b^3

c.

d.

483.Compute and simplify: –

a.

b.

c.–x–^1  2

d.–x^1 +2

^1

(x–1)(x+2)

–1

(x– 1)(x+ 2)

2–x

(x–1 )(x+2)

3–2x

(x+ 2)(x–1)

^7 a

b^3

^7

ab^3

^7

b^3

^2 a

ab^3

^5 a

ab^3

^1

9(2x– 5)

^1

3(2x– 5)

(2x– 5)(x+4)( – (2x– 5)(x+ 1)

9(2x– 5)

^4 ab^2 – b^2

8 a^2 +2a–1

^6 x^3 –12x

24 x^2

^5 x^2 (x– 1) – 3x(x– 1) –2(x– 1)

10 x^2 (x– 1) + 9x(x– 1) + 2(x– 1)

x^2 + 7x+12

x^3 +3x^2 – 4x

x–16

x^2 – 16

• RATIONAL EXPRESSIONS–