## Selasa, 01 Desember 2009

ALGEBRAIC

1. Simplify each of the following algebraic fractions !

a.

b.

c.

d.

2. By finding the common denominator, simplify the following algebraic expressions !

a.

b.

c.

d.

e.

f.

g.

h.

3. By finding the common denominator, simplify the following algebraic expressions !

a.

b.

4. Find the LCM of the denominators of the following algebraic fractions, and then simplify !

a.

b.

c.

d.

5. Simplify the following algebraic fractions !

a.

b.

c.

d.

e.

f.

g.

h.

6. Simplify the following algebraic fractions !

a.

b.

c.

d.

e.

f.

g.

h.

7. Find the power of each of the following algebraic exponentiations !

a.

b.

c.

d.

e.

f.

8. Find the product quotient of each of the following algebraic multiplications divisions !

a.

b.

c.

d.

e.

9. Expand the following algebraic expressions !

a. x(2x + 5

b. 3x(x – 2)

c. -3x2(6x + 5xy)

d. 5p(2p – 3q + 4)

e. 4p2(3p2 – 5pq + 6q2)

10. Expand by means of the distributive law !

a. (x + 3) (x + 4)

b. (x + 2) (x – 5)

c. (3x + 2y) (x – 5y)

d. (3x – 4y) (2x + 7y)

e. (4x – 3y) (5x – 4y)

11. Expand the following algebraic expressions using schemes !

a. (a + 3) (a + 5)

b. (3a + 4) (3a – 2)

c. (4x – 2y) (4x – 5y)

d. (1 – 4y) (1 + 4y)

e. (9 + 12y) (9 – 12y)

f. (x2 + y2) (x2 – y2)

g. (x2 + 5x) (x2 – 10x)

h. (p + 3) (p2 – 2p + 1)

i. (p – 4) (p2 + 4p + 16)

j. (3p + 2q) (9p2 – 6pq + 4q2)

12. Expand the following squared binomials !

a. (m + n)2

b. (a – 10)2

c. (4p + 15)2

d. (3p – 10)2

13. Copy and then fill in the blanks !

a. (x + …)2 = … + … + 16

b. (3x - … )2 = … - … + 25

c. (3y + … )2 = … + 24y + …

d. (4y - ….)2 = … - 40y + …

14. Expand the following algebraic expressions and simplify the results !

a.

b.

c.

d.

e.

f.

g.

h.

15. By using identity a(b ++c) or (x +a) (x – a), do the following multiplications !

a. 9 ´ 76

b. 7 ´ 89

c. 6 ´ 94

d. 4 ´ 236

e. 7 ´ 324

f. 5 ´ 468

g. 32 ´ 28

h. 75 ´ 85

i. 43 ´ 37

j. 38 ´ 32

k. 76 ´ 74

l. 91 ´ 109

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