1001 Algebra Problems.PDF

• RATIONAL EXPRESSIONS–

494.Compute and simplify: – +
a.–

b.

c.–

d.–

495.Compute and simplify: –
a.–x–x^2
b.x+x^2
c.x–x^2
d.–x–x+2

496.Compute and simplify: 1 + x–x^1 –

a.^2 xx++ 31

b.–2(xx++ 3 1)

c.2(xx++ 3 1)

d.–^2 xx++ 31

Set 32 (Answers begin on page 204)

This problem set focuses on multiplying and dividing
rational expressions.

497.Compute and simplify: 

a.

b.

c.

d.

498.Compute and simplify: 

a.

b.3(3^2 a+

3

a)

c.–3(^23 a+

3

a)

d.–3(^23 a–

3

a)

499.Compute and simplify:^98 x–– 42 x^120 – – 95 xx

a.–^5 (( 92 x––x 2 ))

^2

b.–^54 

c.– 290 ((^29 x––x) 2

2

) 2

d. 290 ((^29 x––x) 2

2

) 2

500.Compute and simplify:–^1128 xx

(^2) y
y

• 5

2

6

4

y

x 3 y^3

a.^27 xy

^2

b.^27 xy

c.^27 xy 2

^2

d. 72 yx 2

501.Compute and simplify: ÷ (3x^2 – 10x– 8)

a.

b.

c.

d.

502.Compute and simplify: ÷x

2

4

• x
  3x
  a.–

b.

c.

d.

503.Compute and simplify:xx

2

2 – –^694 ÷^6 x 2

2

x

+

• 
  

4

6

^8 x

a.3(xx–+^8 3)

b.3(xx++^8 3)

c. 3 xx(x–+^8 3)

d. 3 xx(x–+^8 3)

504.Compute and simplify:2(xx+– 5 6)

^2

– 4 ((^5 x+–6x))

a.–(x 2 –6)

b.(x– 2 6)

c.–x 2 –6

d.x+ 2 6)

(x–3)

x^3

^2

x^3

(x–3)^2

8 x^3

(x–3)^2

8 x^3

x–3

2 x^3

(x+3)^2

(3x+2)^2 (x–1)

x+3

(3x+2)(x–1)^2

(x–4)^2 (x+3)

(x–1)

x+3

(3x+2)^2 (x–1)

x^2 – x–12

3 x^2 – x–2

^2 a^3

3(3 –a)

^5 a^2 + 13a–6

24 a–60a^2

^8 a^4

9–a^2

(^2) y^6 z
x^2
(^2) y^5 z
x^2
(^2) y^6 z
x^3
(^2) y^6 z^2
x^2
y^3 z^4
2 x^3
^4 x^3 y^2
z^3
^3 x–3
x^2 +3x
^3 x–4
x^2 –2x
x–1
x– 2
^2
(x– 1)(x+1)
^2
(x– 1)(x+1)
^2
x^2 +1
^2
x^2 +1
^1
x^2 +1
^1
x^2 –1
^2 x^2
x^4 –1