1001 Algebra Problems.PDF

505.Compute and simplify:^91 x 4

2

x

y^3 

1

2

5

1

x

y

y 2  1

1

2

0

y

x 3

a.^94 xy

b.^34 xy

c. 136 xy

d. 196 xy 3

506.Compute and simplify: ÷

a.( 22 (xx+–1^1 ))((xx++ 12 ))

b.( 22 (xx+–1^1 ))((xx+–2 1 ))

c.(2x 2 +(x^12 )+(x 1 – )2)

d.(2x 2 – (x^12 )+(x 1 – )2)

507.Compute and simplify: 

a.

b.

c.

d.

508.Compute and simplify:

(4x^2 – 8x– 5) ÷–(xx+– 1 3)^2 x

2

x

• 
  
  
  
  • 
    
  
  
  
  

3

3

x–5



a.–^2 (x 2 x+–^1 5)

b. 2 x+ 1

c.–(2x+ 1)

d.

509.Compute and simplify:

 ÷ 

a.(a +abb)

^2

b.a

2

a

+

b

b^2

c.2(aa+bb)

d.a–ab3b

510.Compute and simplify: (x– 3) ÷x

(^2) +3
x
x–18
a.x+x 6
b.x–x 3
c.(x –3)
2
x
(x + 6)
d.xx+–3 6
511.Compute and simplify:x
2
4

• y
  x
  2

1

x

0 x

• 
  

y

2

^2

÷

3

1

x

5

2

x

+ 2

y

^32 x

a.2(^5 xx

3

+

y^3

1)

b. 42 (^5 xx+

(^3) y
1
3
)
c.4(^5 xx
2

• 
  

y^2

1)

d. 42 (^5 xx–

(^2) y
1
3
)
512.Compute and simplify:
x 2 x++ 5 x^2 +6 42 xx (^22) ++ 4 ^7 xx++3 1 6x3x^2 + 25 +xx+1xx (^22) +– 24 x
a.x+x^2
b.–xx+2
c.xx+ 2 ^2
d.xx– 22
Set 33 (Answers begin on page 205)
This problem set focuses on simplifying complex
fractions and performing multiple operations involv-
ing rational expressions.
513.Compute and simplify: 1 – ^14 + ^52 – ^14 
2
a.^2376 ^5
b.^2475 ^5
c.^2448 ^5
d.^2346 ^5
^34 

 196 
ab–3b^2
a^2 +2ab+b^2
(^2) a^2 –7ab+3b^2
a^2 +ab
a^2 – b^2
2 a^2 –3ab+b^2
^2 x+ 1
2 x– 5
–2x+2
x^2
(^2) x+2
x^2
–2(x+2)
x^2
2(x+2)
x^2
x^2 + x–2
x^2 – x
^2 x+2
1–x^2
x^2 –1
x^2 +x
^2 x^2 +3x+1
2 x^2 –2x
(^4) x^2 + 4x+1
4 x^2 –4x

• RATIONAL EXPRESSIONS–