國中數學第三冊評量

1-1 1. 399 2A1400 A A399 B400 C798 D800 8-a-01A-4-01 2. 90 2900.30.09 A 900.03 B 900.3 C 900.09 D 90 0.09 8-a-01A-4-01 3. 16x 2 24 xy 9y 2 A 4x 3y 9y2 2 2 2 2 2 2 2 2 2 2

B 4x3y2

2

C 16x

2

D 16x9y

8-a-01A-4-01 4.31 2 31 2 A A A9 93 1 9 B C47 D93 16 2 16 16 3 4

8-a-01A-4-01 5.x257 b42 x 2xyy A299 B300 C299 D900002

1 2

1 2

2

2

8-a-01A-4-01 6. 9x 54x Ax 9 Bx5 C 5 Dx 4 8-a-03A-4-02 7.(3x) (3x ) A0 B6 C3x D6x6 8-a-048-a-05A-4-02 8.acadbcbd A ab cd B ac bd C ad bc D ab cd 8-a-01A-4-01 9. A 4x 20xy5y B16a 16a1 C9x 24xy 16y D49k 28k2 8-a-01A-4-01 10.19 219749 2 2 2 2 2 2 2 2 2 2 2

A 197 197 B 1949 1949 C 197 197 D 1972

8-a-03A-4-02 11.41 40a 40 240bc abc abc A1 B2 C3 D41 8-a-03A-4-02 12.39.5 39 a0.2578.5 78 b0.25 ab A ab B2ab Ca2bDab0 8-a-03A-4-02 13.xy x 2xyy 581 5813819 A600B3600C360000D581 19 8-a-03A-4-02 14.xy 2xy A x y Bx 2xyy C xyD xy 8-a-03A-4-022 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2

15.xy x y A x y B2xy C0 D4xy 8-a-03A-4-022 2

2

2

2

16.xy x 2xyy 99 1 A10000 B9901 C9802 D198 8-a-03A-4-02

2

2

2

2

17.898 89844 A900 B 8982 C 8982 D898 2 8-a-03A-4-022 2 2 2

2

18.485 24851515 A 5005 B 5055 C500 5 D485 152 2 2 2 2 2

2

2

8-a-03A-4-02 19.203 200a 200 200bc abc abc A3 B9 C12 D90 8-a-03A-4-02 20.20 A201 1 5 36 B400 C405 D405 49 49 7 49 1 72 2 2 2 2

8-a-03A-4-02 21.50.5 A2500.25 B2550C2550.25D2600.25 8-a-03A-4-02 22. 53 2534545 A53 45 B 5345 C 53245 D 253452 2 2 2 2 2 2 2

8-a-03A-4-02 23.xy x 2xyy xy A x 2xyy Bx y Dx 2xyy2 2 2 2 2 2 2 2 2 2

Cx 2xyy

2

2

8-a-03A-4-02 24.2x3y A2x 3y B4x 6xy9y D4x 12xy9y2 2 2 2 2 2 2

C4x 9y

2

2

8-a-03A-4-02 25.9x 30xy25y A 3x 5y B 3x5y2 2 2 2 2

C 3x5y 30xy D 9x25y2

2

8-a-03A-4-02

1. A 11.A 21.C 2.B 12.B 22.B 3.B 13.C 23.A 4.C 14.A 24.D 5.D 15.B 25.B 6.B 7.D 8. A 9.C 10.A

16.C 17.B

18.B 19.C 20.D

1. 998 1996 A98000 B998000 C1998000 D998 8-a-01A-4-01 2. 398.5 398 k0.25kA398 B398.25 C796 D796.25 8-a-01A-4-01 3.8.92 A78 B79 C80 D81 8-a-01A-4-01 4.4x3y 2 A4x 2 3y 2 B16x 2 9y 2 C 4x3y 2 48xy D 4x3y 4x3y 8-a-01A-4-01 5. 9x 12x8(3x2) AA A 12 B8 C4 D4 8-a-01A-4-01 6.(ab)22 2 2 2 3 2

B (ab) B(ab) C(ab) D(ab) 8-a-01A-4-01 7. 294 2946 A29400 B88200 C188200 D294 8-a-01A-4-01 8.1999 219991k K A1999 B2000 C1999 D2000 8-a-01A-4-01 9. 489.5 489 kk A489 B489.25 C978 D978.25 8-a-01A-4-01 10.1475 489 A1475 B14751 1 C2950 D2950 4 4 1 22 2 2 2 2 2 2 2 3 2

2

2

2

1 4

8-a-01A-4-01 11.195 2 + 780 + 4 197

A195B196 C197D394 8-a-01A-4-01 12. 4x Kx9 k A6 B12 C 12 D 722

8-a-01A-4-01 13.xy7xy2x y A5 B9 C45 D53 8-a-01A-4-01 14.x y 173xy26xy A15 B147 C196 D225 8-a-01A-4-01 15.2x5 3x7ax bxcbc A35 B35 C210 D915 8-a-01A-4-01 2 16.5 2 2 2 2 2 2 2

A7 B27 C275 2 D2710 2 8-a-01A-4-01 1 23 17. 23 23 2 A2 23 B23 23 C5 23 D25 8-a-01A-4-01 18.20 2 A400 B405 C410 D411 8-a-01A-4-011 42

19.ab cdacadbcbd 98139851213251 A6272 B6400 C7526 D12800 8-a-01A-4-01

20. 4x 3x7x1 axbcabc A11 B3 C3 D8 8-a-01A-4-01

2

21. 2004200519982003 A26 B36C16000 D16026 8-a-01A-4-01

22.

279 1 279 2 278 + 2 278 + 1 2791 1 C279 D279 279 279

A0 B

8-a-01A-4-01 23.5x4y 2 25x 2 16y 2 A0 B20xyC40xy D20x 2 12y 2 8-a-01A-4-01 24. 13.6 13 tt15.6 A0.6 B0.36C 0.06 D 0.6 42 2 2 2

8-a-01A-4-01 25. xy x 2xyy x2y Ax 4xy4y Bx 4xy4y Dx 2xy4y2 2 2 2 2 2 2 2 2 2

Cx 4y

2

2

8-a-03A-4-02

1.B

2.A

3.B

4.B

5.C 6.B

7.B

8.D

9.B

10.A

11.C 12.C 13.C 14.D 15.C 16.D 17.A 18.C 19.B 20.C 21.D 22.C 23.C 24.C 25.A

1.(99.2) A9801 B9840 C9841 D9860 8-a-01A-4-01 2. a 2 = a 2271 1 + 223 225 225 2 2 C450 D450 A30 B30 15 2252

8-a-01A-4-01 3. 1 12 133 1354 1357 5 13579 2123253739 A300 B400 C500 D600 8-a-01A-4-01 4. xy30 3x 2 6xy3y 2 3x3y3 A21 B18 C27 D24 8-a-01A-4-01 5.(ab) 2 a 2 b 2 2ab a 3xb (2y5) A9x 4y 2512xy30x20y B 9x 4y 2512xy30x20y C9x 2 4y 2 2512xy30x20y2 2 2 2

2

2

2

2

2

D9x 4y 2512xy30x20y 8-a-01A-4-01 6.ab=12a 2 + b2 ab 2

2

2

A12 B36 C72 D144 8-a-01A-4-01 7.(x3) x 6x9 73 5329 A9 B438 C447 D5329 8-a-03 8. a 2 + 6a + k k A81 B36 C9 D3 8-a-01A-4-01 9.x 10x A 100B25 C5 D10 8-a-01A-4-01 10. Aba Bba C(ab)2 2 2 2 2 2

1 9

Da(ab) 8-a-01A-4-01

11. 1610416916000000104000169 16104169 A40032 B40132 C39972 D39872 8-a-01A-4-01

12.(axb) 2 (2x2)(3x1)3x 2 8x6(ab) 2 A2 B1 C2 D6 8-a-01A-4-01

13. ab7ab2 2a 2 3abb 2 A84 B90 C100 D112 8-a-01A-4-01

14. x 13 17 y 0 x 2 2xyy 2 A30B300 C458 D900 8-a-01A-4-01

15. 1079999 2 1981 A593 B793 C1000 D10000 8-a-01A-4-01

16. A

57 2 + 82 57 + 412 196

49 B49 C98 D98 2 2

8-a-01A-4-01

17. 23x76y776x23y205 x 2 2xyy 2 A212 B198 C10 D4 8-a-01A-4-01

18.1987 2 397411988 2 2 2 A3971 B4 C0 D4 8-a-01A-4-01

19. 51

1 49 6 48 1 1 C7 D7 A6 B6 7 49 49 7

8-a-01A-4-01 20.x 2 (n2)x25 n A52 B7 C3 D8 8-a-01A-4-01 21.(x1) 2 x 2 2x1 43 2 1849 1849 A1849 B97 C96 D1 8-a-01A-4-01 22. a19998b20198c39998 a 2 b 2 c 2 2ab2bc2caA9800B98 2 C98 D0

8-a-01A-4-01 23. a12b18c18 a 2 b 2 c 2 abbcca A144 B188 C324D468 8-a-01A-4-01 24. x x 2 7x10x1 x3 x4 x 6A72 B62 C60 D55 8-a-01A-4-01 25.597 2 + 597 6 + 9 a a 597 399 + 597 2011 2 1 2 1 2 3 2

A a0 B0a C a1 D1a 8-a-01A-4-01 1.C 2.A 3.A 4.A 5.C 6.C 7.C 8.B 9.C 10.B 20.D

11.B 12.B 13.A 14.D 15.A 16.B 17.D 18.D 19.D 21.C 22.B 23.D 24.D 25.C

1-2 1. A(a + b )2 = a 2 + 2ab + b 2B(a b )2 = a 2 2ab + b 2Ca 2 b 2 = (a + b )(a b ) D

(a + b )(c + d ) = ac + ad + bc + bd 8-a-01A-4-01 2. A (99.9)2 = (100 0.1)2 = 1002 + 2 100 0.1 + 0.12 B 492 = (50 1)2 = 502 25 + 1 C 30 2 2 30 5 + 5 2 = (30 5)21 1 1 D 80 2 2 80 + = 79 8-a-01A-4-01 5 5 52 2

3. A ab (ab) a b B ab ab C ab (ba)2 2 2 2 2 2 2 2 2 2 2

D ab a b 8-a-01A-4-01 4. 98 100 ++2 A-400B400C200 D-200 8-a-01A-4-01 5. 990 -20000+1002 2 2 2 2

A100B99C1000 D900 6. 990 1000 -20000+ A100B0C20 D200 8-a-01A-4-01 7. 100 -400+4 A102B98C96 D104 8-a-01A-4-01 8. a-b a ++b A2abB-2abCab Dab 8-a-01A-4-01 9. 79 A 1 79 (80 ) B 2 C 3 D 4 2 2 2 2 2 2 2 2 2 2

3 4

2

3 4

2

1 4

2

(80 ) 80 80 80 80 2

1 4

2

2

1 4

1 16

1 4

1 1 6380 16 16

8-a-01A-4-01

10. 98 24.98525 A0.02 B0.02 C(0.02) D(0.02)2 2

8-a-01A-4-01 11. (4a5b) A16a 25b B4a 20ab25b2 2 2 2 2 2 2 2

C 40ab25bD 40ab25b 16a 16a 8-a-01 A-4-01

2

12. 98 -2985+25=-5 A100B102C99 D98 8-a-01A-4-01

2

2

13. 98 -980+a=b-c abc

2

2

A100B111C120 D128 8-a-01A-4-01 14.99 A 1 99 100 ( ) B 2 C 3 D 4 2

3 4

2

3 4

2

2

3 4

2

100 ( ) 100 2100 100 2100 2

3 4

2

2

3 4

9 16

3 4

9 9 9850 16 16

8-a-01A-4-013 42

15. 89 A 1 89 (90 ) B 2 C 3 D 41 42 2

3 4

2

1 4

2

(90 ) 90 290 90 290 2

1 4

1 16

1 4

1 1 8145 16 16

8-a-01A-4-01

16. (3x 2 y )2 =

A9 x 2 12 xy + 4 y 2B9 x 2 + 12 xy + 4 y 2C9 x 2 6 xy + 4 y 2 D9 x 2 + 6 xy + 4 y 2 8-a-01A-4-01

17. x y = 3 2 1 3

2

A x 2 2 xy + y 2 B x 2 xy + y 2 C x 2 xy + y 2 D9 2 1 x xy + y 2 8-a-01A-4-01 4 3

9 4

1 9

9 4

1 9

3 2

1 2

1 3

18. 58 2 58 2 60a 2 60 2 260b4c abc Aab Bab4 Cc3604 Dc43360 8-a-01A-4-01

1 19. 3 y = 3

2

A y 2 y + 9 B y 2 y + 3C y 2 + 2 y + 9D y 2 2 y + 9 8-a-01A-4-01 20. ( 4x 3)2 = A16 x 2 + 24 x + 9 B16 x 2 24 x + 9 C 4 x 2 24 x + 9 D 4 x 2 + 24 x + 9 8-a-01A-4-01 21. 990 2 = 1000 2 + x x A19900B1990C-19900 D-1990 8-a-01 A-4-01 22. (3.99)2 8 3.99 + 16 = A B 3.51 0.0001 C 0.001 D 8-a-01A-4-01 0.01

1 9

1 3

1 9

1 9

23. 16 x 2 24 x + 9 = A (4 x 3)2 B (16x 9)2 C (4 x 3)(4 x + 3) D (4 x + 3)2 8-a-01A-4-01

24. a 2 + b 2 = (a b )2 + c c A-2abB2abCab D3ab 8-a-01A-4-01

25. 98 =10000+100x+4990 =1000000+1000y+100x-y

2

2

A24B-24C16 D-16 8-a-01A-4-01

1.B 2.C 3.C 4.A 5.C 6.A 7.B 8.B 9.B 10.C 11.C 12.D 13.D 14.A 15.B 16.A 17.B 18.C 19.D 20.A 21.C 22.B 23.A 24.D 25.C

1.ab5ab1 3a 5ab3b A75 B76 C80 D86 8-a-01A-4-01 2. xy 0 2 2

[(2 x + 3 y ) + (2 x 3 y ) ] 2 2

4x2 + 9 y2

A1 B2 C3 D4 8-a-01A-4-01 3.xy5xy3(xy) A37 B31 C25 D19 8-a-01A-4-01 4.(ab) 31(ab) 15a abb A19 B23 C27 D46 8-a-01A-4-01 x2 + y2 + xy 5.(x y)x(x1)80 22 2 2 2 2 2

A4B8C32D64 8-a-01A-4-01 6.(300.2) 2 30 2 a a A0.04 B5.96 C11.96 D12.04 8-a-01A-4-01 7.a-b=3ab=1 3a 4ab+3b A29B32C54 D56 8-a-01A-4-012 2

(2 x + 3 y )2 + (2 x 3 y )2 8. xy 012 xy

A2B-2C1 D0 8-a-01A-4-01

9. xy7xy (x y )2 3 4

A50B

25 C52 D32 8-a-01A-4-01 4

10. (a + b )2 20 (a b )2 8 a 2 3ab + b 2 A8B5C13 D16 8-a-01A-4-01

11. (a + 2b )2 = a 2 + 4ab + 4b 2 (x 2y )2 Ax 2 4 xy + 4 y 2Bx 2 4 xy 4 y 2Cx 2 4 xy 2 y 2 Dx 2 2 xy + 2 y 2 8-a-01A-4-01

12. (6 2 ) 2

A4B50C38 D38-12 2 8-a-01A-4-01 3 13. 79 42

A6360B6440C6500 D6450 8-a-01A-4-01 4 14. (a b ) = a 2ab + b 79 52 2 22

A6368

1 1 1 1 B6384 C6360 D6355 25 25 25 25

8-a-01A-4-01 15. (5 x 4 y )2 (25x 2 + 16 y 2 ) A0B20xyC-40xy D40xy 8-a-01A-4-01 16. 9 x 2 + kx + 16 k= A24B24C-12D12 8-a-01A-4-01

17. a+b=5ab=-1 a-b A 27B 27 C 27 D 27 8-a-01A-4-01

18. a +b =5ab=2a-b A1B-1C1 D3 8-a-01A-4-01

2

2

19. 9 x 2 (k 2)xy + 4 y 2 k A14 or -10B14C10 D13 8-a-01A-4-01

20. x 2 x + k k A b2 b b B 2 C 2a a 2a 2 2

b a

D

b 8-a-01 2a

2

A-4-01 21. x=1234.56y=1224.56 x 2 2 xy + y 2 A100 B100C 10D0 8-a-01A-4-01 22. (a b )2 = a 2 2ab + b 2 1002 -40082 2

A99996B999996C999998 D999899 8-a-01 A-4-01 23.1003 10000002000x9993 10000002000y49xy A40B35C-21D21 8-a-01A-4-01 24. 2 x 3 + 5 + 2 y = 0 (x y )2 = x 2 2 xy + y 2 A B C16 D8 8-a-01A-4-01 25. 2 y 2 = 2 2 y + 5 ( 2 y 1) 2

2

2

3 2

1 2

A6B5C2 2 D3 8-a-01A-4-01

1.D 2.B 3.A 4.C 5.C 6.C 7.A 8.A 9.C 10.B 11.A 12.D 13.A 14.A 15.C 16.A 17.B 18.C 19.A 20.A 21.B 22.B 23.C 24.C 25.D

1.abcABCa 4a2b 12bc 2cxx 220x A2 B3 C4 D5 8-a-01A-4-01 x2 + y2 xy 2. xy3 22 2 2 2

A0 B3 C4.5 D6 8-a-01A-4-01 3.(abc) 2 Aa 2 2a(bc)(bc) 2 Ba 2 2a(bc)(bc) 2 C(ab) 2 2(ab)cc 2 Da 2 2a(bc)(bc) 2 8-a-01A-4-01 4.1.84 A3.24 B5.832 C10.4976 D7.2 8-a-01A-4-01 5. 99700225100000000300000225 99700225 A9965 B9985 C10025 D10035 8-a-01A-4-012 2 2 2

6.

1 2 a 4a + k k 25

A10B25C100 D4 8-a-01A-4-01 7. (x 4)2 = x 2 4 x + 4 86 =73962

A300B480C340 D564 8-a-01 A-4-01 8.8080212181000000-198000+121 80802121 A8989B9898C9999 D8999 8-a-01A-4-01 9. (a + b c )2 A a 2 + b 2 + c 2 + 2 ab + 2bc + 2 ac B a 2 + b 2 + c 2 + 2 ab 2bc 2 ac Ca 2 + b 2 + c 2 2 ab 2bc + 2 ac

D a 2 + b 2 c 2 + 2ab 2bc 2ac

8-a-01A-4-01 10. [(a b )2 + ( a b )2 ] 2

A 4a 4 + 4b 4 + 8a 2 b 2 B 4a 4 + 4b 4 8a 2 b 2 C 2a 4 + 2b 4 + 4a 2 b 2 D4 a 4 + 2 a 2 + 4b 4 + 2b 2 + 8a 2 b 2 2

8-a-01A-4-01

11. a-b5ab1 A B C7 3 5 3

2( a + b ) a + b a2 + b2

5 7 D 8-a-01A-4-01 3 3

12. (64 x )2 = 2 y 128 + x 2 xy A-12B0C10 D12 8-a-01A-4-01

13. (2 x + 3 y )2 4(2 x + 3 y )(x y ) +

2 [ ) A (x y )2 B2(x y )]2C (x y ) D (x 2 y 2 8-a-01 2 4

A-4-01 14. ab 0 k [(a b )2 (a + b )2 ] = 5ab k4 5

A-1B1C0 D5 8-a-01A-4-01 15. (x 1)2 = x 2 2 x + 1 (x 3 1) 2

A x 6 + 2 x 3 + 1 B x 6 x 3 + 1 C x 6 2 x 3 + 1 D x 6 2 x 3 1 8-a-01A-4-01 16. x 3 y 2 = 5 3x 6 6 x 3 y 2 + 3 y 4 A25B150C70 D75 8-a-01A-4-01 17. (a b )2 = a 2 2ab + b 2 a = 2 x 3 b = 3 y + 5

A4 x 2 + 9 y 2 + 64 12 xy + 48 y 32 xB4 x 2 9 y 2 + 64 12 xy 48 y 32 xC2 x 2 + 3 y 2 + 64 12 xy + 48 y 32 x D 4 x 2 9 y 2 64 12 xy 48 y 32 x

8-a-01A-4-01 18. a40198 b98199 c20198 a 2 + b 2 + c 2 2ab + 2bc 2 ac A199 B3978C98 D6213 8-a-01A-4-01 19. a111 b88c99 a 2 + b 2 + c 2 + 2 ab 2bc 2 ac A B10000C 100 200 20. 2 D 8-a-01A-4-01 899 3 2 3 2 32 2

4032 403 6 + 9 a a 398 299 + 101 398

A1b 8-a-01 A-4-01 22. x39 y35 x 2 2 xy + y 2 6 x + 6 y + 9 A4B53 1 C-3 D1 8-a-01A-4-01 2522 2

4 5

4 5

3 1 23. x + 1 ax 2 + bx + c a+b-c 2 2

A B C

1 2

3 2

1 D3 8-a-01A-4-01 2

24.9999.99 9999.99 A9B8C0 D1 8-a-01A-4-01

25.AB = 2 xBF = 10AD = 2 x + 5

DG = 5 ax 2 + bx + c a + b + c A 2x+5 E 2x D 5 G

B 10 F C

A10B5C9 D11 8-a-01A-4-01

1.D 2.C 3.B 4.C 5.B 6.C 7.B 8.A 9.B 10.A 11.C 12.D 13.B 14.A 15.C 16.D 17.A 18.C 19. B 20.A 21.D 22.D 23.A 24.B 25.C

1-3 1. A ab a b2 2 2 2 2 2

B ab 2aba b2

C ab cdacbcbdda D ab aba b 8-a-01A-4-01 2.k22 4k A3 B5 C2 D12 8-a-01A-4-01 3.1972032000 aa A3 B3 C9 D9 8-a-01A-4-01 4. 2351 1351 A4 B6 C7 D8 8-a-01A-4-01 5.(2x3)(2x3) A2x 9 B4x 9 C4x 12x9 D4x 12x9 8-a-05A-4-02 6. 501499 A(ab)(cd)acadbcbd B(ab)(ab)a 2 b 2 C(ab) 2 a 2 2abb 2 D(ab) 2 a 2 2abb 2 8-a-01A-4-01 7. A200.5 2 199.5 2 B201.5 2 200.5 2 C100.5 2 99.5 2 D2 2 2 2 2 2 2 2 2

8-a-01A-4-01 8. 29 30 29 30 A13 13 5 5 B C D 36 36 36 36 1 2 1 2 2 3 1 3

8-a-01A-4-01 9. ? A(5764)(6457)642572 B 9 10 = 10 2 - ( ) 2 Cx22x10 D(919)2=922919192 8-a-01A-4-01 10.70 2 30 2 80 2 20 2 40 1001 2 1 2 1 2

ABCD 8-a-01A-4-01 11. 1599 == (A) ( 599 + 1 )2 2 2

(B) ( 1599 ) (D) 60000

(C) (599 + 1 ) ( 1599 )

8-a-01A-4-01 12. 297 303 = 90000 a a = (A) 9 (B) 62

(C) 182

(D) 1

8-a-01A-4-01 13. 106 94 (A) 2600 (B) 2700 (C) 2400 (D) 2800

8-a-01A-4-01

14. 102 98 103 97 (A)-5 (B) 13 (C)100 (D) 5 8-a-01A-4-012 2

15. 0=( 2004 ) 4000 b( 1996 ) b = (A) 8 (B) 16 (C) 2004 (D) 40000 8-a-01

A-4-01 57 2 + 82 57 + 412 = 16. 57 2 412 49 49 (C) (D)2 8-a-01A-4-01 (A)1 (B) 16 8 17. 19962004a 2000 a (A) 16B 4 (C) 4 D 4 8-a-01A-4-012 2

18. -499 501 (A) 249999B-249999(C)259999 D- 259999 8-a-01A-4-011 3 1 3

19. 20 20 20 a a (A) 1 1 1 B(C) 3 3 9 D1 9

2

8-a-01A-4-01 20. A2abab a b2 2 2 2 2 2

B ab a b 2ab C ab cdacbcbdda D ab aba b 8-a-01A-4-01 21. k10 2 k A4 B5 C2 D12 8-a-01A-4-01 22. 200 9 209 aa A191 B197 C199 D2012 2 2 2 2 2

8-a-01A-4-01 23. 4. 1351 135 0 A3B4C5D6 8-a-01A-4-01 24. (x3)(x3) Ax 9 Bx 9 Cx 12x9 Dx 12x9 8-a-05A-4-02 25. 45149 A(ab)(cd)acadbcbd B(ab)(ab)a 2 b 2 C(ab) 2 a 2 2abb 2 D(ab) 2 a 2 2abb 2 8-a-01A-4-01 26. A100.5 2 99.5 2 B101 2 99 2 C102 2 98 2 D2 2 2 2 2 2

8-a-01A-4-01 27. 389 2 11 2 A15000 B15100 C151200 D152000 8-a-01A-4-01 28. ? A(7723)(2377)7722321 1 1 2 2 B 19 20 = 20 - ( ) 2 2 2

Cx22x10 D(211)2=169 8-a-01A-4-012 2

29.aba b

( ab )( ab ) (A) a b 2 2

(B) ( ab )( ab ) (C) (D)2

ab 8-a-01A-4-01 30. 41 41 1 4 (A) 4 1(B) 4 1(C) 4 1 (D) 4 1 8-a-01A-4-01 31.k10 2 k A192 B96 C288 D196 8-a-01A-4-012 2 4 6 2 8

1.A 2.D 3.C 13.C 23.B 4.C 14.D 24.B 5.B 15.A 25.B 6.B 16.B 26.A 7.B 17.B 27.C 8.C 18.C 28.A 9.B 19.D 29.C 10.A 20.D 30.A

11.C 12.A 21.B 22.A 31.D

1. A(ba)(ab) B(ab)(ab) Cb(ab)a(ab) D(ba)(ba) 8-a-048-a-05A-4-02 2.35(4 1)(4 1)(4 1)2 1nn A16 B32 C64 D128 8-a-01A-4-01 2006 2005 3. 20062005( ) 2005 2006 A20062005 B5080 C4011 D4011 8-a-01A-4-01 4952 + 990 + 1 4. 3982 9822 4 8 n

A

496 495 495 300 B C D 300 300 496 496

8-a-01A-4-01 3 3 3 3 5. 199 + 201 99 101 4 4 4 4 2 2 2 2

A10000 B 20000C60000 D60300 8-a-01A-4-01 6. 3011A9000000121 A A3011 B3001 C2999 D2989 8-a-01A-4-01

7. 8888.9990.999 A0 B1 C4 D9 8-a-01A-4-01

8. a81 2 40 2 a A1 B11 C31 D41 8-a-01A-4-01

9. n (n3) n A2n3 B6n9 C n3 2 D n3 2 9 8-a-01A-4-01

58 1 10.(51)(5 2 1)( 5 4 1) k

k A2 B4 C5 D6 8-a-01A-4-01 11.333334 A333 2 334 2 B333 2 1 2 C333.5 2 0.5 2 D0.5 2 3333.5 2 8-a-01A-4-01 12. 151 2 149 2 2150 2 k k A B C D 8-a-01A-4-01 1 2 150 300 13.(xa) 2 (xa) 2 K(xa) K A B C 2 2 4 D 8-a-01A-4-01 4 14. ( 879 776 ) (A)5 (B) 879 (C) 103 (D) 311 8-a-012 2

A-4-01 1 19 1 2 = a 15. 7 8 = b 400 20 20

399 (C) b = 8 400 8-a-01A-4-01

(A) b = 7

(B) a = 61

(D) a = 65

1 400

17. ( 14129 ) ( 4129 ) (A) 5 (B) 62 2

2

2

(C) 72

(D) 8 8-a-01A-4-012

18. (x 3 ) ( x + 3 ) = (A) x (B) x 12 (C) 12x2

(D) 12x2

8-a-01A-4-01 19.aba b ( a + b ) ( a b ) (A) a b 2 2

(B) ( a + b ) ( a b ) (C)

(D) ab 8-a-01A-4-01 20. A573 98 (A) A 5 25 (B) A 19 (C) A2 2

(D) A 3

8-a-01A-4-01 21. 41 41 1 1 1 4 4 4 (A) 4 1(B) 4 1(C) 4 1 (D) 4 1 8-a-01A-4-01 22. 5 5 51 51 1 1 1 5 (A)1 B 3 (C)4 D 5 8-a-01A-4-01 23. 2 2 2 21 21 1 1 1 1 2 (A) 3 B 5 (C)7 D 1 8-a-01A-4-012 4 8 16 2 4 8 10 12 14 16 2 4 8

24. 7 7 7 71 71 1 1 1 1 7 (A) 7 1 B 7 1 (C) 7 1 D 7 1 8-a-01A-4-01197 2 2 103 94 6030 32 34 36 2 4 8 16

25.

(A) 4 B 5 (C) 6 D 7

8-a-01A-4-01 26. 91110110001 (A) 9B 18 (C)1D08-a-01A-4-01 27. 201 m1 m (A) 40400 B 39600(C)20200 D101008-a-01A-4-01 28. ( 879 776 ) (A)5311 (B) 53111032 (C) 103521 2 = a b a 4002 2 2

(D) 3111032 8-a-01A-4-01 29. 1219 1 = 13 20 20

b2 399 400

(A) 7

(B)

(C)

1 400

(D) 8

8-a-01A-4-01 30. ( 24129 ) ( 4129 ) 0 (A) 4 (B) 52 2 2

(C) 62

(D)7 8-a-01A-4-01 (B) 2200 (C) 2400

31. 105 95 (A) 2000

(D) 2800 8-a-01A-4-01 58 1 32. ( 5 2 -1)(5 2 1)( 5 4 1)2 k k

A B 2

1 1 C D 8-a-01A-4-01 4 4 2

33. (x

1 4

) ( x + 1 4

2

1 4

) =

2

(A) x

2

(B) x

2

(C) -x

(D) x 8-a-01

A-4-01

1.B 11.C 21.D 31.A 2.B 12.B 22.C 32.B 3.D 13.D 23.B 33.C 4.A 14.B 24.B 5.D 15.C 25.C 6.D 16.A 26.B 7.A 17.D 27.A 8.C 18.C 28.B 9.B 19.C 29.C 10.B 20.B 30.A

1 3 5 7 9 11 1. 97 99 A 200 B2500 C5000 D10000 8-a-01A-4-01 2. 999999 A13 B37 C111 D1001 8-a-01A-4-01 3.(1 )(1 )(1 (1 A1 4 1 9 1 1 1 1 )(1 )(1 )(1 ) 16 25 36 492 2 2 2 2 2 2 2

1 1 1 )(1 )(1 ) 64 81 100 3 3 1 11 B C D 10 100 10 20

8-a-01A-4-01 4. 135172572 A4 B8 C16 D32 8-a-01A-4-01 5.a(31)(31)(3 1)(3 1)(3 1)(3 1)a A0 B2 C6 D8 8-a-01A-4-01 6. 2 3 4 10 82 6562 1 = 1 n n 3 9 81 6561 32 4 8 16

A4 B8 C12 D16 8-a-01A-4-01 7.666 333 555 111 A222 B444 C34 D24 8-a-01A-4-01 8. 13579235792 A8 B9 C10 D 8-a-01A-4-01 9. 8(9 2 1)10(9 4 1)3n1n2 2 2

A B C D 8-a-01A-4-01 12 14 16 18 10.ab Aa 2 b 2 Ba 2 b 2 C(ab) 2 D(ab) 2 8-a-01A-4-01 11.(86420)2(6420)2 A0 B1 C2 D3 8-a-01A-4-01

1.C 2.B 3.D 4.C 5.A 6.D 7.A 8.B 9.C 10.C 11.A

2-1 1. AB x AB A BCD

2. Aax 2xbx5 B3x 6xc abc A4 B4 C8 D12

2

2

3. A3x 2x 4x1B4x 2x x5 AB x A7 B5 C2 D52

2

3

3

2

4. g(x)=2(x1)(2x-1)(x2) (4x1) g(x) A 6 B4 C0 D4

2

5. x A x 2x1 Bx2

1 2 5 Cx x D5 2x

6. f(x)5x 3x 2x 6 Af(x) Bf(x)f(0) Cf(x) Df(x) 2

3

4

2

7. x 5 3 A8 B3 C2 D8

8.AB AA(B) BAB CA 2 D(AB)(AB) 8-a-05A-4-02

9. A16y3 B6y18 C6y15

D4y11 10. ax 2 + bx + c x A a0 Ba 0 Cb0 Db 0

A

11. A(2x 2 7x4)3x 2 5x6

AA BA CA 3 DA 12.A x B x AB x A B C D 13. AB x A+B (A)BCD

14. A B x 5A-2B

(A)BCD

15. A=ax +x-1 B=5x +bx+c a+b+c= (A)5B-5C6D7

2

2

16. A4x 5x +x7B-x x 6x-1 AB x (A)3 B5 C-4D-32

2

3

3

2

17. g(x)=3(x-1)(2x+5)(x+2) (4x-3) g(x) (A)1B9C-3D-27

2

18. x (A)x -x=5B x 2

1 1 C- x Dx x

19. f(x)=x -x-1 (A)f(x)Bf(x)=f(1) (Cf(x) Df(x)-1

2

20. f(x)=-3 (A)f(x) Bf(x) 0 Cf(x)Df(x) 3

21.AB (A)2A3B B5A7B CA 3

D(3A+B)(2A-B)

22. ax +bx+c x (A)a=0 Ba0 Cb=0 Dc=0

2

23. ax +bx+c x (A)a0Bb0Cb=0Dc=0

2

24. A-(5x -7x-1)=-5x +x-4, A (A)A BA

2

2

CA =-1DA

25.A x B x A+B x (A)BCD

1.B 11.D 21.B

2.B

3.B

4.A 14.C 24.C

5.D 6.B 15.A 25.B 16.B

7.C

8.B 9.B 18.D

10.B 19.D 20.A

12.D 22.A

13.D 23.C

17.C

1. ax bx cxd x Aa0b0 Ba 0b0 Ca0b 0 Db0c0 2.(x 10)(x 9)(x 8)(x 1) A BCD2 2 2 2 2 3

3. ax 2x 5bx cx x A a1Bb2Cab0Dc0

3

2

2

4. 5x 7x3 a(x1) b(x1)c abc A 3 B15 C35 D75

2

2

5. A (x 2x1) B B 2x 3x1 A2B

2

2

A5x27x2 B5x24x1 C7x27x2 D5x211x4 6.() ( x ) A10x24 B10x25 C8x20 D5x13 7.(ax 2 bxc)(2x 2 x5) 5x 2 7x 2x 2 5x10 x 2 3x6 A a3 Bb5 Cb5 Dabc60

8. . ax -bx -cxd x (A)a=0b0 Ba=0b=0Ca0Db0

3

2

9. ax + bx +cxd x

2

3

(A) a=0b=0c=0 Ca0b0c=0 Ba=0b=0c0 Da=0b0c0

10. (x+100)+(x+99)++(x+1) (A)B100 C101 D5050

11. (x +1)+ (x +3) +(x +5)++ (x +19) (A)BCD

2

2

2

2

12. ax +x-2x +bx-2 x (A)a=-2Bb=-1Ca=0Da=2

2

2

13. ax +bx -1-5x +cx x (A)a0Bb=0Cc0Da+b+c=5

3

2

2

14. 3x -5x+4 a(x-1) +b(x-1)+c a+b+c=

2

2

(A)5B6C7D8 15. x -6x+8 a(2x-1) +b(2x-1)+c abc= (A)6B-6C8D-8 16. A (3x -x-2) B B x -5x-1 A= (A)-2x -4x+1B4x -6x+1C4x -6x-3D4x -6x+32 2 2 2 2 2 2 2

17. A (-x +3x-5) B B -7x +x-5 A= (A)-6x -2xB-8x +4x-10C-6x +2xD6x +2x2 2 2 2

2

2

18. A (2x -x-1) B B x +x+1 2A-3B= (A)x -x-1B3x C6x -3x-3D3x -3x-32 2 2 2

2

2

19. A (x +3) B B 5x -2x A= (A)4x -2x-3B6x -2x-3C6x -2x+3D4x -2x+32 2 2 2

2

2

20. A (7x -1) B B x A=

2

2

(A)-6x +1B6x -1C6x +1D-6x -1

2

2

2

2

21. A (3x-1) B B 5x A= (A)5x +3x-1B5x -3x+1C-5x +3x-1D-5x -3x-12 2 2 2

2

22. A (x +x+1) B B x -x-1 A-2B= (A)2x B-2x C-2x-2D2x -2x+22 2 2

2

2

23. A (5x -3X-6) B B 7x -x+1 3A+B= (A) 36x -12x-15 C29x -11x-162 2

2

2

B12x -4x-5 D43x -13x-142

2

24. () ( x ) A8x22 B8x34

C4x28 D10x34 25. (ax -bx-c)-(x -x-4) 7x -3x 3x +x-2 x -x+5 (A)a=8Bb=2Cc=-6 Da+b+c=162 2 2 2 2

1.B 11.B 21.B

2.B 12.D 22.B

3.B 13.D 23.D

4.D 14.B 24.B

5.C 15.B 25.C

6.A 16.C

7.B 17.A

8.C 18.D

9.B 19.C

10.A 20.A

1. 2x 5x3a(x1) b(x2)c abc A24 B6 C0 D262 2

2. x x30 (2x 2x) 5(x xa)10 a A4 B4 C2 D2

2

2

2

2

3. A(x)B(x) x A(x)B(x)x2x 7 A(x)B(x)3x x1 AA(x) x 43 22 2

2

1 2

2

BA(x)2x x4

2

3 2

CB(x) x x3 DA(1)7

4. g(x)(a3)x (2b1)x (c2)xd4 A a3 Bb1 Cc2 Dc4 2

3

2

5. f(x)2x 5xax bxab f(x) A0 B3 C3 D5

2

2

6.366364365367730

A 1 B0 C364 D365

7.(1997 1993199712)4 A 4 B1993 C1997 D2000

2

8.

1 679 677 + 638 678 678 1 1 B40 C D40 678 678

A

9. abc (2ax 2 5x3)(bx2x 2 c) abc A 8 B7 C6 D5

10. x 7x-1a(x-2) b(x+1)c abc A0 B4 C-6 D6

2

2

11.x1a(x-1) -b(x+1)-c abc A0 B1 C-1 D-2

2

12. x +x10 (7x +7x) 3(x +xa)40 a

2

2

2

2

A10 B-10 C14 D-14 13. x -x40 5x 5x+3a-20 a A7 B-7 C6 D-6 14. A(x)B(x) x A(x)B(x)3x x5A(x)B(x)x +3x-1 AA(x)2x x+22 2 2 2 2 2

BA(x)4x +2x4

2

CB(x)2x 4x6 DA(0)3

15. A(x)B(x) x 2A(x)B(x)4x x2A(x)B(x)2x +7x+10 AA(x)6x 6x+12 CA(x)x +x22 2 2 2

BA(x)2x +2x4 DA(0)0

2

16. g(x)(a-1)x (b+2)x (c1)xd B a1 Bb-2Cc1 Dd1

3

2

17. g(x)(a-5)x (3b+2)x (c3)x-d+5 C a5 Bb2 Cc3 Da5 3

3

2

18. f(x)7x3x ax -bx2ab f(x) A1 B1 C13 D-13

2

2

19. f(x)ax xbxa-b f(x) A-1 B1 C0 D2

2

20.656654-655653= A1310 B1311 C1309 D655

21.778776-777779+777= A-777 B-778 C-776 D-779

22.(4998 -49934998-20)5= A4994B4995C4998D5

2

23. A

959 957 1 + + 2 = 958 958

1 1 B960C956D958 958

24. abc (ax 2 x1)(3x 2 bx+c) abc (A)5 B4 C3 D2

25. abc (3ax 2 x2)(bx-6x 2 c) abc (A)0 B6 C4 D-4

1.A 11.A 21.B 2.B 12.C 22.A 3.A 13.D 23.B 4.D 14.A 24.C 5.C 15.B 25.C 6.A 16.D 7.D 17.B 8.B 18.C 9.B 19.A 10.B 20.C

2-2 1. AB x AB A BCD 8-a-01A-4-01 2.(x7)(x4) Ax 11x28 Bx 3x28 Cx 3x28 Dx 28 8-a-048-a-05A-4-02 3.(4x3)(23x)ax bxc A a12 Bab11 Cbc6 Da2c0 8-a-05A-4-02 4. cadb (ab)(cd)acadbc bd A(ab)(ab)a 2 b 2 B(ab)(ab)a 2 b 22 2 2 2 2

C(ab) 2 a 2 2abb 2 D(ab) 2 a 2 2abb 2 8-a-01A-4-01 5. x A B C D 8-a-05A-4-02 6. 2 x ( ) = x 2 ( A 4 5

)

2 8 2 8 B C x D x 5 5 5 5

8-a-05A-4-02 7. ABCD AE BC E AE 2x5BC 4x2 x ABCD

A8x 2 24x10 B8x 2 10 C6x 2 19x10 D6x7 8-a-048-a-05A-4-02

8. AB x AB (A)BCD 8-a-01A-4-01

9.(x3)(x2) Ax x6 Bx 5x6 Cx -5x6 Dx x+6 8-a-048-a-05A-4-022 2 2 2

10.(4x3)(32x)ax bxc (A)a8Bab14 Cbc54 Da2c-12 8-a-05A-4-02

2

11. cad-b (ab)(cd)acadbcbd A(ab)(ab)a 2 b 2 B(ab)(ab)a 2 b 2 C(ab) 2 a 2 2abb 2 D(ab) 2 a 2 2abb 2 8-a-01A-4-01

12. 4 x ( ) = A

4 2 x ( ) 5

1 6 1 6 B C x D x 5 5 5 5

8-a-05A-4-02 13. ABCD AE BC E AE (3x+4) BC (4x1) x ABCD A12x 2 19x4 B12x 2 4 C7x 2 12x4 D7x 4 8-a-048-a-05A-4-02 14.-2(x+2)(x-3)= (A)x -x-6 (B)2x -2x-12 (C)-2x +2x+12 (D)-2x +2x-12 8-a-048-a-05A-4-02 15.(x +x-3)(x-2) x (A)-3 (B)-1 (C)1 (D)3 8-a-048-a-05A-4-02 16.(2x -3x+4)(x-5) (A)-20 (B)-10 (C)2 (D)20 8-a-048-a-05A-4-022 2 2 2 2 2 2

2

17.(4x -5x+7)(x+1) x (A)4 (B)2 (C)0 (D)-5 8-a-048-a-05A-4-02

2

3

18.(x+2)(x-2)(x +4) (A)x -4 (B)x +16 (C)x -16 (D)x -4x +16 8-a-048-a-05A-4-022 4 4 4 2

2

19.(x-3)(x+7)=x +px+q (A) p=-10 (B) p=-4 (C) q=21 (D) q=-21 8-a-048-a-05A-4-02

2

20.( -3x) (4y)= (A)-144x y (B)-12x y (C)36x y (D)-36xy2 2 2 2

2

8-a-048-a-05A-4-02 21.(2x-7)(x+1)=ax bxc (A) a=-2 (B) b=5 (C) c=7 (D) a+b+c=-10 8-a-048-a-05A-4-02 22.(3x-2) (4-x+2x )x (A)6 (B)18 (C)36 (D)-182 2 4 2

8-a-048-a-05A-4-02 23.A=x -2x+1B=2x +7 2A3B x 3 2

(A)5

(B)6 (C)7

(D)30

8-a-048-a-05A-4-02 24.A=x +2x -4 A x (A)3 (B)5 (C)6 (D)9 8-a-048-a-05A-4-02 25. A(-4xy )=12x y A= (A)3x y2 2 2 3 4 3 2 2

(B)-3x y (C)-3x y (D)-48x y

2 2

4 6

4 6

8-a-048-a-05A-4-02

1.B 11.B 21.D 2.C 12.C 22.B 3.C 13.A 23.A 4.A 14.C 24.C 5.C 15.B 25.B 6.C 16.A 7.A 17.D 8.A 18.C 9.A 19.D 10.D 20.C

1.491492489493 A489 B490 C493 D495 8-a-01A-4-01 2. 2751 751 (2751 ) A 2751000 B 5502000 C 5503000 D 5503000 8-a-01A-4-01 3. A(2x)(2x)(4x ) A Ax 13 2

1 2

1 2

1 2

2

B 164

CA Dx 1 8-a-05 A-4-02 4. 2(x5)(x x2) A20 B16 C16 D20 8-a-05A-4-02 5. x 2x x2(x1)(x axb) Aa2 Bb1 Cab1 D(x2x2) x32x2x2 3 2 2 2

8-a-05A-4-02 6.(2x1)(2x1) (2x1) (2x1) A1 B2 C10 D55 8-a-05A-4-02 7.(2x ax1)(xb)x 5 2 A x 1 Bb2 Ca5 Dab7 8-a-05A-4-02 8. A(4ax2)(xa)(53x)9 A x2 A4 B8 C28 D28 8-a-048-a-05A-4-023 2 2 2 3 10

9.(ab)(cd)acadbcbd a 2cb 2d A2(cd) 2 2(c 2 d 2 2cd) B2(cd) 2 2(c 2 d 2 ) C2(cd) 2 2(c 2 d 2 2cd) D2(cd)(cd)2(c 2 d 2 )

8-a-01A-4-01 10. 7 y1y0 2y y A y 2 8y By 2 8 C2y 2 8y D2y 2 8 8-a-048-a-05A-4-02 11.591592589593 A589B590C593D595 8-a-01A-4-01 12. 3751 1751 (3751 ) B 7502000B7503000C3751000D7503000 8-a-01A-4-01 13. A(3x)(3x)(9x ) A Ax 03 2

1 2

1 2

1 2

2

B 814

CA Dx +1 8-a-05 A-4-02 14. 2(x3)(x x2) A20 B16 C16 D20 8-a-05A-4-022

15. x 2x x3(x1)(x axb) Aa+2 Bb1 Cab3 D(x23x4) x 2x x3 8-a-05A-4-023 2

3

2

2

16.(5x 4xa)(23x) -7 a= (A)-7 (B)-6 (C)6 (D)7 8-a-05A-4-023 4

2

17.(3x2)(3x2) (3x2) (3x2) A8 B10 C30 D40 8-a-05A-4-02

2

18.(x ax3)(xb)x 4 -6 B x 9 Bb-2 Ca-6 Dab-4 8-a-05A-4-02

2

2

19. A(-3ax2)(xa)(47x)8 A x2 A2 B6 C6 D-8 8-a-048-a-05A-4-02

20.(2x1) (x2)= A 4x 4x 7x2 B 4x 12x 9x2 C 2x 3x2 D (2x 3x2)2 2 2 3 2 3 2

2

8-a-01A-4-01 21.(3x1) (5x2) (A)x 45 (C)x 113 2

(B) x 3 (D) 2

8-a-01A-4-01 ( )22.(x 43x)(3x2) x (A)76 (B)72 (C)-36 (D)4 8-a-01A-4-01 ( )23.A=ax x 1B=2x 3 A(3x)B x a=(A)-12 (B)-6 (C)-2 (D)0 8-a-01A-4-01 ( )24.(x2) (x2) = (A)x 16 (B)x 8x 16(C) x 4x 16 (D) x 16 8-a-01A-4-01 ( )25.(axb) =(3x1)(2x5)(-3x 11x21) ab= 2 2 4 4 2 4 2 4 2 2 3 2 2 2 2 2

(A)-1 (B)1 (C)-7 (D)7 1.D 11.D 21.C 2.C 12.B 22.A 3.A 13.D 23.B 4.C 14.C 24.B 5.C 15.D 25.A

8-a-01A-4-01

6.C 16.C

7.D 17.C

8.B 18.D

9.D 19.C

10.A 20.A

1. A(x2)(x3) 4 A(x2) A x1 Bx1 Cx2 Dx2 8-a-058-a-06A-4-02 2. A(x2)(x3)(x4)(x5) A x a b ab A118 B122 C119 D124 8-a-05A-4-02 3. nab x 2xn(xa)(xb)n 200 n A B C D 8-a-05A-4-02 0 13 14 16 4.(x2)(x3)(x4)(x5)ax bx cx dx 120 abcd A120 B240 C360 D720 8-a-05A-4-02 5. nabcd 6x nx15(axb)(cx d) n A8 B10 C12 D16 8-a-05A-4-022 4 3 2 2 3

6. ABCD AB 2x3 AD 5x1 AB AD CD AD C E ABFE A(2x3)(5x1) B6x2x12 C6x217x12 D4x212x9 8-a-05A-4-02

7. A(2x 4x 5)(x 7x3) A15 B5 C0 D8 8-a-05A-4-02

5

4

3

8. 5 (2) 7 ? A7 B0 C10 D7 8-a-05A-4-02

9. A B C D 8-a-03A-4-02

10.P y2x6 O B

0 , b) PAOB A b 2 6b B b 2 3b C2b 2 6b D2b 2 3b 8-a-01A-4-01 2x 2 9x 7 (2xa)(xb) ? 11. Aa7b1 Ba7b1 Ca7b1 Da7b1 8-a-05A-4-02 12. 19 39 = a +3 5 2 5 6 a 25 1 2 1 2

A741 B756 C772 D780 8-a-01A-4-01 ( )13.A(-3x )=(x1)(x2) A= (A) -3x 3x2 (C) -3x 9x 6x4 3 2 2 2

(B) -3x 9x 6x4 3

4

3

2

(D) -3x 6x 6x

2

8-a-01A-4-01 ( )14. A(2x1)(x3)(x1)(x2) A x a b ab A10 B8C-4D-8 8-a-05A-4-02 15.(x1)(x2)(x3)(x4)ax bx cx dx4 3 2 4

e abcde A0 B2 C24 D-24 8-a-05A-4-02 16. A(x 7x5) (x 4x6) A50 B33 C0 D33 8-a-05A-4-02 17. A B C D 8-a-03A-4-02 ( )18.A=x axbB=43x 2A(5x)B=-13x 28x6 ab= (A)7 (B)1 (C)-3 (D)-7 8-a-03A-4-02 ( )19. x 4x1=0(x6)(x10)= (A)-61 (B)-60 (C)-59 (D)4 8-a-03A-4-02 ( )20. 3x 8x1=0(3x5)(3x1)(x1)(x3)1= (A)-16 (B)-15 (C)-11 (D)12 8-a-03 A-4-02 2 2 2 2 3 2

(

)21. x =5(x2)(x1)(x1)(x2)= (A)25 (B)9 (C)4 (D)-4 8-a-03A-4-02

2

(

)22.(2x3)(x4)(x1)(2x3)=-15 20195 1959817= (A)-15 (B)0 (C)2(D)17 8-a-03A-4-02

(

)23. x 11=0(x3)(x3)(x 2x1)(x 2x1)= (A)484 (B)200 (C)121 (D)100 8-a-03A-4-02

2

2

2

(

)24. a=23b=47c=-25 a b c 2ab=(A)2025 (B)4275 (C)4900 (D)5525 8-a-03A-4-02

2

2

2

(

)25. x 4x1=0 A=(3x1)(4x3)7 x A= (C)2243x (A)1653x (B)1643x

2

(D)2253x 8-a-03A-4-02

1.A 11.C 21.C 2.A 12.C 22.C 3.B 13.C 23.B 4.B 14.B 24.D 5.C 15.A 25.B 6.B 16.D 7.B 17.C 8.C 18.B 9.C 19.A 10.B 20.B

2-3 1.2x 5x7 x3 axbcab c A 9 B5 C3 D7 8-a-05A-4-02 2. f(x)g(x) Af(x)g(x) Bf(x)g(x) Cf(x) g(x) Df(x) g(x) 1 8-a-03A-4-02 3.(2x 5x1)(x2)AB A Ax1 BA2x1 CB1 DB3 8-a-06A-4-02 4. AB AA2B x 2 2

BAB x CAB x D x AB 8-a-03 A-4-02 5.(4x y)( )20x y ( ) A5xy B5xy C80x y D24x y 8-a-058-a-06A-4-02 6.AB AB B ABCD 8-a-06A-4-02 7.x x2 x-1 axbcab c (A)3 B2C1D0 8-a-05A-4-02 8.3x 2x1 x-2 axbcab c (A)30B26C15D11 8-a-05A-4-02 9.x 3x+1 x1 axbcab2 2 2 3 3 5 5 5 3 2 3 4

c B 4B3C2D-1 8-a-05A-4-02 10. f(x)g(x) Af(x)g(x) Bf(x)g(x) Cf(x) g(x) Df(x) g(x) 8-a-03A-4-02 11.(x 3x2)(x-1)AB (A) Ax2 BAx+4 CB-6DB22

8-a-06A-4-02 12.(2x -4x+1)(x1)AB (A) A2x6 BA2x6 CB-5 DB72

8-a-06A-4-02 13.(2x -6x+4)(2x-2)AB2

(A) A2x-4 BAx2 CB8 DB8

8-a-06A-4-02 14.(x x1)(x-1)AB (A) Ax-2 BA2x1 CB-1 DB32

8-a-06A-4-02 15.(x y )( )10x y ( ) A10xyB10x y C10xy D 8-a-058-a-06A-4-02 16.(20xy )( )4x y ( ) A-5x y B5x y C x y D x y 8-a-058-a-06A-4-02 17.(15xy)( )-30x y ( ) A2xy B-2 x y C-2x y D x y 8-a-058-a-06A-4-02 18.(2x y )( )-8x y ( ) A6x y B-6x y C4x yD-4x y 8-a-058-a-06A-4-023 4 3 4 3 3 2 3 5 4 3 3 3 2 4 3 3 3 3 3 2 4 5 3 5 3 2 2 3 5

1 3 xy 10

1 5

3

3

1 5

3 3

1 2

3

2

19.(xy)( )4x y( ) Ax B4x yC4x Dx4 4 4 4

5

8-a-058-a-06A-4-02 20.AB AB B (A) (B)(C) (D) 8-a-06A-4-02 21.AB AB B (A) (B) (C) (D) 8-a-06A-4-02 22.AB AB B (A) (B) (C) (D) 8-a-06A-4-02 23.(x -2x-4)(x+1) (A)0 (B)-1 (C)-2 (D)1 8-a-06A-4-02 24.(2x -3x+1)(x-1)2 2

(A)2x+1 (B)2x-5 (C)2x-1 (D)2x+2 8-a-06A-4-02 25.(x +3x+1)(x-2) (A)9 (B)10 (C)11 (D)12 8-a-06A-4-022

1.A 11.B 21.D

2.C 12.B 22.A

3.D 13.B 23.B

4.B 14.D 24.C

5.B 15.C 25.C

6.C 16.D

7.A 17.C

8.B 18.D

9.C 19.C

10.D 20.B

1. ax 2 bxc x3 2x1 5 abc A11 B9 C4 D7 8-a-06A-4-02 2. A (x3) 2x1 2 A A(2x1)2 B2x25x3 C2x27x1 D2x25x1 2

8-a-058-a-06A-4-02

3.x axb(x1)(x2) 6 3 ab A3 B5 C1 D29 8-a-06A-4-02

4.x 5x6 A x1 Bx3 Cx6 D(x1)(x6) 8-a-03A-4-02

2

5. ? A(8x7)(2x1)10x6 B C24x2(3xy)8xy D(5x3)(43x)x 29

8-a-01 8-a-04 8-a-05 8-a-06 A-4-01 A-4-02 6. ( x 2 3) ( x 3) A 12 B6 C0 D6 8-a-06A-4-02 7. f(x)g(x) f(x)g(x) A2 B1 C0 D 8-a-01A-4-01 8. A B AAB BAB CAB DAB 8-a-03A-4-02 9. ax 2 bxc x-1 x+2 0 abc A0 B1 C2 D3 8-a-06A-4-02 10. ax 2 bxc x2 3x1 2 abc

A0B4 C6D8

8-a-06A-4-02

11. A (x+1) x-2 1 A Ax -2x+1 Bx -x-1Cx -x-2 8-a-058-a-06A-4-022 2 2

Dx +x-1

2

12. A (x+3) x-1 2 A A x +2x-1Bx -2x-1Cx -2x+2 Dx -2x-2 8-a-058-a-06A-4-022 2 2 2

13. A (2x1) x3-5 A A2x +5x-3B2x -5x+3C2x -5x+8 D2x +5x-8 8-a-058-a-06A-4-022 2 2 2

14.x axb(x+1)(x2)-3 9 abA3 B4 C5 D6 8-a-06A-4-02

2

15.x axb(x+3)(x-3)-2 22 abA5 B4C3 D2 8-a-06A-4-02

2

16.x axb(x4)(x-1) 11 -1ab

2

A0 B1 C2 D3 8-a-06A-4-02 17.x 3x4 Ax1 Bx4 Cx3 D(x1)(x4) 8-a-03A-4-02 18.x x2 Ax-2 Bx1 Cx+1 D(x1)(x2) 8-a-03A-4-02 19.x 4x12 Ax6 Bx+2 Cx6 D(x2)(x6) 8-a-03A-4-02 20.(x +1)(x-1) (A)0 8-a-03A-4-02 21.(x x2)(x1)(A)0 8-a-03A-4-02 22.(2x 3x1)(x2) (A)0 2 2 2 2 2 2 2

(B)1

(C)2

(D)3

(B)1

(C)2

(D)3

(B)1

(C)2

(D)3 8-a-03A-4-02

23.(x 4x1)(x2) (A)0 (B)-1 (C)-2 (D)-3 8-a-03A-4-02

24.(x x8)(x3) (A)0 (B)-1 (C)-2 (D)-3 8-a-03A-4-02

2

25. f(x)g(x) f(x)g(x) A2 B1 C0 D 8-a-01A-4-01

1.B 11.B 21.A 2.D 12.A 22.D 3.A 13.D 23.D 4.B 14.B 24.C 5.B 15.C 25.C 6.A 16.A 7.D 17.C 8.C 18.B 9.A 10.D 20.C

19.A

1.R 2 x3 5x 2 x 1 = Q( x) + Q(x) x 2x + 1 2x + 1

AQ(x)x 3x1 BQ(x)x 2x3 CR0 DR2 8-a-06A-4-02 2.2 2

(3x + 2)2 ( x 2 1) 2 ax2bxcx 2 3x 3

A a1 Bb3 Cc1 Dabc 5 8-a-01A-4-01 3. A(x1)(x2)Q3(x1) A(x1) A1 B3 C0 D6 8-a-06A-4-02 4. A(x1)(x2)Q3(x1) A(x2) A1 B3 C0 D6 8-a-06A-4-02 5. A(x1)(x2)Qaxb A(x2) 3A(x1)3 A (x1)(x2) A 0B2x1 C1 D4x1

8-a-058-a-06A-4-02 6.mm 9 7 m 9 ? A7 B4 C1 D0 8-a-06A-4-02 7.1 1 x + ( x + 1) = 3 x + 2 x + 6 = 5 x + 6 3 22

(5x2)(3x2)5x3x2x3 4 x 6x 2 = 9x8 2

4x x8x ABCD 8-a-04 8-a-05 8-a-06A-4-02 ( )8.x3 + 2x 2 x + 1 R = Q( x) + Q(x) x x 1 x 1

1 2

Q(x)= Ax 3x2 Bx 2x3 Cx 3x2 Dx 2x3 ( )9.2 2 2 2

8-a-06A-4-02

x3 + 2x 2 x + 1 R = Q( x) + Q(x) x R= x 1 x 1

A1B2C3D4 ( )10.

8-a-06A-4-02

x3 x2 + 5 R = Q( x) + Q(x) x Q(x)= x +1 x +12 2 2

Ax 2x2 Bx 2x2 Cx 2x2

Dx 2x2 8-a-06A-4-02 ( )11.x3 x2 + 5 R = Q( x) + Q(x) x R= x +1 x +1

2

A1B2C3 D4 8-a-06A-4-02

x4 x3 x + 1 2 12. ax bxcabc 2 x 2x + 1(A)3 B4C5 D6 8-a-01A-4-01 x 4 x3 2x 2 7x + 3 2 13. ax bxcabc= 2 x + 2x + 3

(A)0B-1C-2 D-3 8-a-01A-4-01 14. A(x1)(x3)Q3(x1) A(x1) A0 B1 C2 D3 8-a-06A-4-02 15. A(x2)(x8)Q3(x1) A(x2) A0 B1C2 D3 8-a-06A-4-02 16. A(x3)(x6)Q3(x2) A(x3) A0 B1 C2 D3 8-a-06A-4-02 17. A(x7)(x2)Q4(x1) A(x2)

A B C D 8-a-06A-4-02 -1 -2 -3 -4 18. A(x4)(x5)Q(x6) A(x5) A0B1 C2 D3 8-a-06A-4-02 19. A(x10)(x6)Q2(x7) A(x6) A0 B1 C2 D3 8-a-06A-4-02 20. A(x2)(x3)Qaxb A(x2) 1A(x3) 4 A (x3)(x2) (A)x1Bx1 Cx2 Dx2 8-a-06A-4-02 21. A(x2)(x4)Qaxb A(x4) 2A(x2) 4 A (x2)(x4) (A)x2Bx2 Cx4 Dx4 8-a-06A-4-02 22. A(x2)(x1)Qaxb A(x1)

4A(x2)-1 A (x2)(x1) (A) x3B-x3 Cx3 Dx4 8-a-06A-4-02 23.mm 8 3 m 9 ? A1 B2 C3 D4 8-a-06A-4-02 24.mm 7 5 m 9 ? A1 B2 C3 D4 8-a-06A-4-02 25.mm 6 4 m 9 ? A1 B2 C3 D4 8-a-06A-4-022 2 2

1.D 11.C 21.A 2.C 12.A 22.A 3.C 13.B 23.A 4.B 14.A 24.D 5.B 15.D 25.D 6.B 16.D 7.D 17.D 8.A 18.B 9.C 19.C 10.A 20.B

3-1 1. A a a 2 = a B a a C a ( a ) 2 = a D a a 8-n-01N-4-01 2. A a a 0 B a ( a ) 2 = a C a a 2 = a D a a 2 = a 8-n-01N-4-01 3. (11) 2 A11 B-11 C121 D-121 8-n-03N-4-02 4. 121 A11 B-11 C 121 D 11 8-n-01N-4-01

5. 195 A 195 B 195 C 195 D 195 8-n-01N-4-01

6. ( 9 ) 2 A 9 B 3 C 81 D 0 8-n-03N-4-02

7. 13 A23 B34 C45 D56 8-n-02N-4-01

8. 257 A1516 B1617 C1718 D1819 8-n-02N-4-01

9. 1000 A3132 B 3233C3334 D3435 8-n-02N-4-01

10. 100 < a < 200 a a A8 B 4C2 D1 8-n-01N-4-01

11. 1 < a < 1000 a a A30 B 31C32 D33

8-n-01N-4-01 12. 200 < a < 900 a a A15 B16 C17 D18 8-n-01N-4-01 13. 17 < x 19 x A70 B71 C72 D73 8-n-01N-4-01 14. 2 < x < 5 x A B C D 8-n-01N-4-01 3 15 20 21 15. 3 < x 5 x A16 B20 C23 D26 8-n-01N-4-01 16. 2 < x < 4 x A11 B16 C 21D25 8-n-01N-4-01 17. 0.0016 A 0.4 B 0.04 C 0.16 D 0.016 8-n-01N-4-01 18.

25 169

A

5 5 5 13 B C D 169 13 14 5

8-n-01N-4-01 19. 6.76 A 1.6 B 2.6 C 3.6 D 1.06 8-n-01N-4-01 20. A0 B-3 C 5 11 D 13 8-n-01N-4-01 21. A 9 25 B 7 + 3 C 31 D (31) 2 8-n-01N-4-01 22. 2 x 3 x A x

3 3 B x C x 3 D x 3 2 2

8-n-01N-4-01 23. x + 5 x A x < 5 B x 5 C x > 5 D x 5 8-n-01N-4-01 24. 144 A 12 B 144 C 12 D 24 8-n-02N-4-01

25. 169 A 13 B 169 C 13 D 26 8-n-01N-4-01

1.C 12.A 22.A 2.D 3.A 4.D 5.D 6.B 16.B 7.B 17.B 8.B 9.A 18.B 19.B 10.B 20.D 11.A 21.B

13.C 14.C 23.D 24.C

15.D 25.C

1. A( (10) 2 ) 2 < 121 B( 32 ) 2 < 40 C 121 < 13 D ( 9 ) 2 < 9 8-n-01N-4-01 2. A 231 < 321 B 15 2 < (17) 2 C (10) 2 < (10) 2 D (9) 2 < 10 8-n-01N-4-01 3. A 9 2 < 10 2 B 0.16 < 0.4 C 93 < 101 D 51 < 32 8-n-01N-4-01 4. ab 0 A a + b = a + b B a b = a b C

a a = b b

D a b = a b 8-n-04N-4-02 5. abc 0 A a b c = a b c B

ab a b = c c

C a(b + c) = ab + c D ab bc = b(a c) 8-n-04N-4-02 6.

A 5 2 = 5 2 B

7 7 C 5 + 6 = 11 = 9 3

D 16 + 9 = 5 8-n-04N-4-02 7. 11 A (11) 2 B 112 C ( 11) 2 D ( 11) 2 8-n-03N-4-02 8. 3 A (2 5) 2 B (5 2) 2 C (2 5) 2 D (2 5) 8-n-03N-4-02 9. -5 A (1 6) 2 B (6 1) 2 C (7 2) D 5 2 8-n-03N-4-02 10. 12 A 12 2 B (12) 2 C ( 12) 2 D ( 12) 2 8-n-01N-4-01 11. 11 A (13 2) 2 B (2 13) 2 C( 13 2) 2 D(2 13) 8-n-01N-4-01 12. 7 A (8 1) 2 B (8 1) C 72 D (1 8) 2

8-n-01N-4-01 13. 9 A 92 B (9) 2 C (9) D ( 9)2 8-n-01N-4-01 14. 10 A ((10)) B (10) 2 C ( 10) 2 D 102 8-n-01N-4-01 15. A 40) 2 < 45 B 52 )2 < 36 C 169 < 12 D 11) 2 < 11 ( ( ( 8-n-01N-4-01 16. A ( 13) 2 > 13 B 132 > 144 C ( (15) 2 ) 2 < 226 D ( 18) 2 < 19 8-n-01N-4-01 17. A ( 7 2 ) 2 > 50 B ( 12) 2 = 12

C ( 40)2 < 452 D (13)2 = 13 8-n-01N-4-01

18. A 10 < 2 B 0.49 = 0.7 C 16 < 4 D 0.25 < 0.4 8-n-01N-4-01

19. A 0.25 > 0.5 B 15 < 2 C 25 < 49 D 16 > 9 8-n-01N-4-01

20. A (11) 2 = 11 B 452 < 6 C ( 40) 2 < 7 D 1.69 = 1.3 8-n-01N-4-01

21. a b 0 A ab = a + b Ba a = b b

C D

a = a b ba a = 8-n-01N-4-01 b b

22. a b c 0 A ab bc = b a c B abc = ab c C a(b + c) = ab + ac D ab bc = b a c 8-n-01N-4-01

23. 3 A 32 B 32

C (3) 2 D ((3)) 2 8-n-01N-4-01 24. 8 A (9 1) 2 B (1 9) 2 C (1 9) D ((1 9)) 2 8-n-01N-4-01 25. A 1112 = 11 12 B C8 8 = 25 511 11 = 12 12

D 13 + 3 = 4 8-n-01N-4-01

1.C 11.B 21.D 2.D 12.D 22.A 3.D 13.A 23.B 4.C 14.C 24.B 5.C 15.B 25.C 6.C 16.A 7.D 17.C 8.C 18.D 9.A 19.B 10.D 20.C

1.

a 1 + 1 a + a + 5 A0 B 2 C 4D 6 8-n-03N-4-02 2.

x 1 + x 3 1 x + 5

A

15 3 3 3 B C D 5 5 5 5

8-n-03N-4-02 3.

a2 2a + a+2

A0 B

1 1 1 C D 3 4 5

8-n-03N-4-02 4. 2 < x < 2 ( x 2) 2 + (3 x) 2 A5 B 1 C1-x D5-2x 8-n-03N-4-02 5. 1 < x < 3 ( x 1) 2 + (4 x) 2 + (7 x) 2 A10-xB10+x C2-x D2+x 8-n-03N-4-02 6. a 1 < 5 (a 7) 2 + (10 a ) 2

A17 B3-2aC17-2a D-3+2a 8-n-03N-4-02 7.

x 1 + x + 3 x x 1

A x 3 B x 1 C x > 1 D x > 0 8-n-01N-4-01 8. ( x + 2)( x 1) x3

x

A x 1 B x 2 C x 0 D x > 3 8-n-01N-4-01 9. a n n a5 5 2 a1 + a 2 + a3 + ...a10 A16 B17 C18 D19 8-n-02N-4-01 10. [a ] a [5] 5 2 [200] + [201] + [202] + ... + [210]A143 B154 C165 D176 8-n-02N-4-01 11. -x+10y 2 3x 2 y = 4 x 2 + y 2 A7 B0 C37 D34 -n-03N-4-02 12. 15 a b b 2

A 24 + 6 15B24 6 15 C 15 3 D 15 + 3 8-n-02N-4-01 13. 101 a b b 2 + 2b + 1

182 182 A 18 101 B + 18 101 C 101 + 10D 101 10 8-n-02N-4-01 14. 3 < x < 1 ( x 1) 2 + ( x + 3) 2 = A 2x + 2 B2 C 2x + 4 D4 8-n-01N-4-01 15. 3 < x < 3 ( x 4) 2 + (5 x) 2 = A1 B 1 C 9 2x D 2 x 9 8-n-01N-4-01 16.x2 + x+5 x x2

A x 2 B x>5 C x>2 D x 5 8-n-01N-4-01 17.(x 3)(x-11) x +8

x

A 3 x 11 B x > 8 C 8 < x 3 x 11 D x > 0 8-n-01N-4-01

18. a 2 < 3 ( x 7)2 + ( x + 2) 2 = A9 B 2a 5 C5 D 9 2a 8-n-01N-4-01

19.a 2 + 2 a + 7 + a =

A 2 B3 C0 D 3 8-n-01N-4-01 20. a 3 + 3 a + 22 + a =

A 22 B0 C5 D 6 8-n-01N-4-01 21. A-1 B1 C 2 D - 2 8-n-01N-4-01 22. A 5 B 35 C 7 D 5 8-n-01N-4-01 23. 123 a b a 2 + b = A110 123 B110+ 123 C123+ 110 D123 110 8-n-01N-4-01x5 + x 7 = 5x + 5 x2 + x = 2 x x

24. 197 a b a 2 b 2 = A 197 28 197 B 28 197 -197 C 28 197 -28 D 28 197+28 8-n-01N-4-01

25. 226 a b a 2 b 2 = A 113 15 226 B 226 30 226 C 15 226 -113 D 30 226 -226 8-n-01N-4-01

1.D 2.A 3.A 13.A 4.D 14.D 5.A 6.C 7.C 17.C 8.D 18.A 9.D 19.B 10.B 20.C

11.C 12.B 21.A 22.C

15.C 16.C 25.D

23.B 24.B

3-2 1. 72 A 2 6 B 4 6 C 6 2 D 36 2 8-n-03N-4-02 2. 196 A13 B14 C 9 2 D 2 7 8-n-03N-4-02 3. 500 A10 5 B 5 10 C100 5 D 25 2 8-n-03N-4-02 4. 3 7 + 9 7 10 7 A 7 B 2 7 C 3 7 D 4 7 8-n-03N-4-02 5. 9 10 2 10 + 5 7 3 7 A9 10 B 9 7 C 7 10 2 7 D 7 10 + 2 7 8-n-03N-4-02 6. 3 10 + 2 10 11 10

A 5 10 B 6 10 C 5 10 D 6 10 8-n-03N-4-02 7. 9 125 3 5 + 7 20 A13 5 B 56 5 C 62 5 D 38 5 8-n-03N-4-02 8. 12 7 4 28 112 A 4 7 B 7 C 0 D 2 7 8-n-03N-4-02 9. 3 54 96 + 7 6 A 0 B 5 6 C 9 6 D12 6 8-n-03N-4-02 10. ( 29 ) 2 A841 B29 C-841 D-29 8-n-03N-4-02 11. (23) 2 A23 B-23 C529 D-529 8-n-03N-4-02 12. 312 + (12) 2 A19 B31 C12 D43 8-n-03N-4-02

13. 96 A16 6 B 4 6 C 2 6 D 6 8-n-01N-4-01

14. 1200 A10 2 B 20 3 C 3 40 D 6 20 8-n-03N-4-02

15. 1690 A130 B13 C13 10 D 26 5 8-n-03N-4-02

16. 14.4 A1.2 B0.12 C

12 10 12 D 10 10

8-n-03N-4-02 17.

5 16

A

5 5 5 5 B C D 2 4 4 2

8-n-03N-4-02 18.

5 16

A

5 5 5 5 B C D 8 8 4 4

8-n-03N-4-02 19.

10 50

A

5 1 1 B C 5 D 5 5 50

8-n-03N-4-02 20.

3 6 2

3 2 3 2 6 3 22 3 2 1 A B C D 2 2 2 2

8-n-03N-4-02 21.

3 5 18

3 2 10 3 2 10 3 10 3 2 5 B C D A 6 3 6 3 8-n-03N-4-02 22. 5 (3 5 ) A 3 5 5 B 5 5 C 3 5 5 D 3 5 5 8-n-03N-4-02 23. 3 ( 6 2 )

3 3 A 2 6 B 2 3 C 6 3 D 18 2 8-n-03N-4-02

24. 7 ( 10 14 )

7 A 10 7 2 B 70 7 2 C 70 7 D 70 2 8-n-03N-4-02

1 2 3 25. 1 1 1 5 7 4A

90 3 30 3 30 6 B C D 10 5 10 2 5

8-n-04N-4-02 26. 25 + 169 A13 B 18 C18 D 13 8-n-02N-4-01

1.C 12.D 22.D

2.B

3.A

4.B 5.D 16.C 26B

6.D 17.A

7.B

8.C

9.D 10.B 20.C

11.B 21.A

13.B 23.A

14.B 15.C 24.B 25.D

18.B 19.B

1. ab a > b (a b) 2 A a b B b a C (a b) 2 D b a 8-n-03N-4-02

1 1 1 17 17 A2 B 2 C D 4 2. 4 2 2 2 2 8-n-03N-4-02

1 2 2 66 B 4 C 3. 16 A 4 2 2 2 2D 66 8-n-03N-4-02 2

1 1 1 101 4. 25 A 5 B 5 C 4 2 2 2D 101 8-n-03N-4-02 2

5. 200 A4 B5 C6 D7 8-n-01N-4-01

6. 1000 A B C D 8-n-01N-4-01 39 24 15 9

7. 5 3 +

3 5

A0 B 2 5 C 2 3 D 2 5 2 3 8-n-01N-4-01 8. 7 10 + 10 9 A 7 3 B 2 10 7 3 C 7 + 3 2 10 D 10 3 8-n-01N-4-01 9. 10 2 +

2 5 +

5 10

A0 B2 10 + 2 5 C2 10 2 2 D2 5 2 2 8-n-01N-4-01 10. 2 5 13 A 130 B10 13 C 2 65 D 5 26 8-n-04N-4-02 11. 2 8 16 A B C D 8-n-04N-4-02 4 8 16 32 12. 3 6 9 12 A18 6 B 6 6 C 3 6 D12 6 8-n-04N-4-02 13.

6 5 10

A 6 B 5 C 3 D 3 8-n-04N-4-02

14.

2 10 7 5 2

A 14 B

70 7 C1 D 5 5

8-n-04N-4-02 15. ( 2 + 3 )( 3 2 ) 4

A

1 1 3 2 B C D 4 2 4 4

8-n-04N-4-02 16. ( 5 3 ) 2 A2 B 8 2 15 C8 D 8 + 2 15 8-n-03N-4-02 17. ( 5 3) 2 + ( 5 2)( 5 + 2) A15 6 5 B 5 6 5 C-3 D0 8-n-03N-4-02 18. (3) 2 + 121 (9 5) 2 A4 B6 C8 D10 8-n-03N-4-02 19. (6 9) 2 + ( 13 ) 2 (3) 2 9 2 A-11 B63 C117 D-7 8-n-04N-4-02

20. a > b (b a ) 2 + ( a b ) 2 + b a A b a B 3a 3b C a b D 3b 3a 8-n-03N-4-02

21.

4 5 9 1 5 16 5

A

9 5 5 7 5 11 5 B C D 4 4 4 4

8-n-04N-4-02

4 11 2 1 22. 2 3 7 9 5 5A

15 15 15 15 B C D 14 14 14 14

8-n-04N-4-02

1 1 2 1 23. 9 7 + 7 5 6 3 5A

2 30 2 6 5 6 B C 2 D 2 5 5 6 5

8-n-04N-4-02 24. ( 2 3) 2 A 3 2 B 2 3 C 5 6 3 D1 8-n-03N-4-02 25. 3 2 1

A 3 2 + 3 B 3 2 3 C 6 + 3 D 6 3 8-n-03N-4-02 26. 7 5 2

7 5+7 2 7 57 2 A 5 + 2 B C D 5 2 3 3 8-n-03N-4-02 27.

4 5 12 2

A

4 60 + 10 2 17 + 2 7 4 12 + 2 B C 10 5 10 2 60 + 2 10 8-n-03N-4-02 5

D

2 28. 5 3 7A

14 210 210 14 B C D 15 15 15 15

8-n-03N-4-02

1 2 29. 0.375A

2 3 48 4 8 B C D 3 6 3 6

8-n-03N-4-02 30.

4 0.001

A20 B 20 10 C40 D 40 10 8-n-03N-4-02 31. 5 + 5 = 5a a A5 B1 + 5 C1 5 D 8-n-03N-4-02 32. 12 + 48 = 6a a A

5+ 5 5

3 5 3 18 B C D 3 2 6 6 6

8-n-03N-4-02 33. 100 90 = 5a a A

10 5 3 10 10 3 10 B C 2 5 3 2 5 5

D10 5 3 10 8-n-03N-4-02 34. ( 5 3 ) a = 7 a A7 7 5+7 3 7 57 3 B C 2 2 5+ 3

D

7 57 3 8-n-03N-4-02 5+ 3

35. a = 13 + 5 a 2 A18 B18 + 65 C18 + 2 65 D 2 65 8-n-04N-4-02

36. a = 17 + 5 b = 17 5 ab A12 B 85 C 12 D85 8-n-04N-4-02

37. ( 3 + 3)(5 6 ) A 5 3 3 2 + 15 3 6 B 5 3 + 3 2 + 15 + 3 6 C 5 3 3 2 15 + 3 6 D 5 3 + 3 2 15 + 3 6 8-n-04N-4-02

38. (6 3 + 2 )( 5 3 ) A 6 15 + 10 6 + 18 B 6 15 10 + 6 18 C 6 15 10 6 18 D 6 15 + 10 6 18 8-n-04N-4-02

39. a = 15 3 b = 15 + 3 a 2 + b 2 A36 B12 5 C18 6 5 D18 + 6 5 8-n-04N-4-02

40. 7 x = 21 x A 3 B3 C 2 D2

8-n-04N-4-02 41. 13 x = 65 x A5 B15 C25 D30 8-n-04N-4-02

1.A 12.A 22.B 31.B 41.C

2.C

3.C

4.C 5.A 16.B

6.A 17.A

7.D

8.B

9.C 10.A 20.B 30.B

11.C 21.B

13.C

14.A 15.A 25.A

18.D

19.A 29.A

23.A 24.A 32.D 33.C

26.B 27.D 28.C 36.A 37.A

34.A 35.C

38.D 39.A

40.B

2x + 3y = 1 a 2 + b 2 1. (a , b) 3x + 2 y = 4A 3 B 4 C 5 D 6 8-n-03N-4-02

5 x 2 y = 1 ( a + b ) 2 (a , b) 2. 7 x + 3 y = 13A3 B 3 + 2 2 C 2 2 D1 + 2 8-n-03N-4-02

101x + 99y = 301 ( a b ) 2 3. (a , b) 99 x + 101y = 299A1 B2 C-1 D-2 8-n-03N-4-02

4.

5 2 2

A

10 2 10 2 52 10 + 2 B C D 2 2 2 2

8-n-03N-4-02 5.

14 3 7

A

2 7 21 7 2 3 7 2 21 B C 7 7 7

D

2 7 3 8-n-03N-4-02 720 15 5

6.

2 5 5 3 10 3 5 5 2 5 3 10 5 3 B C D A 5 5 5 5 8-n-03N-4-02 7.

7 3 2

A 21 + 14 B 21 14 C

21 + 14 5

D

21 14 8-n-03N-4-02 56 3 5+ 2

8.

A

30 15 + 6 2 3 30 + 15 + 6 + 2 3 B 3 3 30 + 15 6 2 3 30 15 6 2 3 D 3 3

C

8-n-03N-4-02 9. 17 = 4.123 0.0017 A0.4123 B0.04123 C0.004123 D0.0004123 8-n-03N-4-02 10. 250 + a a

A5 B 6C7 D8 8-n-03N-4-02 11. ab 72a

405 a+b b

A7 B8 C9 D10 8-n-03N-4-02 12.

9 2 3 18 + 4 3 ( 5 + 3 )( 5 3 )3 2 D 2 2

A 2 3 B 3 2 C

8-n-04N-4-02 13.

5 20 + 125 180 ( 7 1)( 7 + 1)

A

5 5 2 5 5 3 5 B C D 3 3 2 2

8-n-04N-4-02 14.

54 294 + 486 ( 6 4 )( 6 + 4 )6 3 6 5 6 7 6 B C D 2 2 2 2

A

8-n-04N-4-02 15. a = 5 a + b = 9 ba A B C D 8-n-03N-4-02 4 13 31 56 16. a = 3 a 2 + b 2 = 15 b

A10 B12 C14 D16 8-n-03N-4-02 17. 81 = a 2 a + b = 12 b A135 B141 C147 D141 147 8-n-03N-4-02 18. (999 1)(999 + 1) + 1 A1000 B999 C998 D997 8-n-03N-4-02 19. (1001 + 1)(1001 1) + (2 1001)(2 + 1001) A1001 B 1001 C3 D 3 8-n-03N-4-02 20. 256 254 + 1 A255 B256 C254 D1 8-n-03N-4-02 21. 2x+y 3 3x + 2 y = 2 x+y A2 B5 C7 D9 8-n-03N-4-02 22. x + 2 y + 3 + 2 x y 9 = 0 x+y A0 B 3C-3 D6 8-n-03N-4-02

23. x = 5 + 6 x 2 10 x A19 B-19 C1 D-1 8-n-03N-4-02

24. x = 6 2 3 ( x + 6) 2 A 2 3 B 2 3 C-12 D12 8-n-03N-4-02

25. a > 0 b > 0 a a 2 b 3 b A ab 2 a B ab a C ab ab D a b 8-n-03N-4-02

26.

1 1 1 + + 2 +1 3+ 2 4+ 3

A 2 B 3 C2 D1 8-n-03N-4-02 27. 1 1 1 1 + + + 6+ 2 10 + 6 10 + 14 18 + 14

A

6 6 2 2 B C D 6 8 2 4

8-n-03N-4-02 28. x = 3 8 x + A6 B 2 8 C

1 x

8 1 D 6 8

8-n-03N-4-02 29. x = 2 5 19 x

1 x

A 4 5 B 2 5 C 2 19 D 19 8-n-03N-4-02 30. ( 5 2 3 ) 2 + ( 10 3 3 ) 2

5 A 3 5 10 B 3 + 5 10 C 3 + 5 + 10D 5 3 5 10 8-n-04N-4-02

8a 3 31. ( a < 0) aA 2 2a B 2 2a C 2 2a D 2 2a 8-n-03N-4-02

a 3b 5 32. ( a > 0 , b < 0) abA b ab B b ab C ab D ab 2 8-n-03N-4-02

33. A

2 3

B

2 3

C

2 3

D

2 3

AA BB CC DD 8-n-04N-4-02 34. A 6 + 11 B 7 + 10 C 5 + 12 D3 + 8

AA B BCC DD 8-n-04N-4-02 35. a =1 5+ 3 b = a b 2 5 3

A a =

b B a = b C a = b D ab = 2 2

8-n-03N-4-02 36. x =1 4 x 2 4 3x + 3 5 3

A 5 + 3 B5 C 5 D3 8-n-03N-4-02 37. x =1 4 x 2 4 7 x + 7 7+ 5

A 5 B5 C 7 D7 8-n-03N-4-02

1.C 12.A 22.A 32.A

2.B

3.A 4.B 5.C 15.C 25.A 16.B 26.D 36.B

6.D 7.A 17.D 27.A 37.B

8.A

9.B

10.B 11.A 20.A 30.D 21.C 31.B

13.D 23.B 33.B

14.C 24.D

18.B 19.D 28.A 29.C

34.C 35.C

4-1 1. A345 C81517 B 51213 D72325

8-a-07S-4-08A-4-03 2. 36 345 A108 B54 C12 D6

8-a-07S-4-08A-4-03 3. 23 A5 B4 C10 D 13 8-a-07S-4-08A-4-03 4. 25 24 A7 B8 C9 D10

8-a-07S-4-08A-4-03 5. 18 A81 B162 C324 D100 8-a-07S-4-08A-4-03 6. A(1 , -5) B(-2 , 3) C(3 , 4) D(-3 , -5) 8-a-09S-4-08A-4-037-a-11A-3-11 A-3-12 7. 34 x x A 7 ( 7 or5) B2 C3 D 5 8-a-07S-4-08A-4-03 8. 24 168 A7 B15 C25 D30 8-a-07S-4-08A-4-03 9. 3 21 2 3 A3 21 B 3 3 C 3 21 D 6 3 2

8-a-07S-4-08A-4-03 10.ABC B90 ACBC 225 25 AB A 7 5 B 10 2 C200 D245 8-a-07S-4-08A-4-03 11. 5 3 1 A 34 B5 C 15 D4 8-a-07S-4-08A-4-03 12.ABC AC 2 + BC 2 AB 2 A A B B C C D 8-a-07S-4-08A-4-03 13. 5 11 4 A20 B26 C 20 + 2 3 D 20 + 3 2 8-a-09S-4-08A-4-038-s-26S-4-09 14. 8

A 16 3 B20 C 25 3 D30 8-a-07S-4-08A-4-03 15.ABC 90 15 ABC A200 B300 C400 D500 8-a-07S-4-08A-4-03 16. A(35)B(12) AB A 65 B13 C5 D6

8-a-07S-4-08A-4-03 17. 20 10 A10 B 10 3 C 10 5 D20 8-a-07S-4-08A-4-03 18. 558 A24 B12 C10 D8 8-a-07S-4-08A-4-03 19. 6 8

A10 B48 C

24 D 5

8-a-07S-4-08A-4-03 20. 34 84 A200 B250 C16.8 D312 8-a-07S-4-08A-4-03 21. 20 25 A500 B300 C250 D350 8-a-07S-4-08A-4-03 22.ABCC90 AB 10 AC 6 BC A4 B7 C8 D9 8-a-07S-4-08A-4-03 23. 50 A1024 B1520 C1448 D2545 8-a-07S-4-08A-4-03 24.(1,-3) 61

A(3,-4) B(-1,-1) C(4,5) D(-5,2) 8-a-07S-4-08A-4-03 25. A(4,3) B (3,5)C(-1,6) D(-2,-4) 8-a-07S-4-08A-4-03

1.D 11.B 21.B 2.B 12.C 22.C 3.D 13.B 23.C 4.A 14.A 24.D 5.A 15.B 25.C 6.B 16.A 7.A 17.B 8.C 18.B 9.B 19.C 10.B 20.C

1. 25 3 A10 B20 C30 D40 8-a-07S-4-08A-4-03 2. 2a+b2a-b A a 2 + b 2 B 2a 2 + 2b 2 C 4a 2 + b 2 D 8a 2 + 2b 2 8-a-07S-4-08A-4-03

3. ABCDO AB AC AD AO ()

A AB > AC > AD > AO B AD > AB > AC > AO C AB > AO > AC > AD D AB > AO > AD > AC 8-a-07S-4-08A-4-03 4. AB A 2 4 (4,7)B 3 5 (2,2) AB A5 B6 C12 D14

8-a-07S-4-08A-4-03 5. 4 16 60 AB = A20 B25 C 375 D 450 8-a-07S-4-08A-4-03 6. 15 3 A9 B8 C 9 2 D 6 3 8-a-07S-4-08A-4-03 7. x = A10 B12 C15 D20 8-a-07S-4-08A-4-03 8. x34 x

A65 B5 C25 D3 8-a-07S-4-08A-4-03 9. abc abc A a 2 + b 2 = c 2 B a 2 + c 2 = b 2 C a + b = c D a + c = b 8-a-07S-4-08A-4-03 10.A(-5,1)B(7,1)C(-5,-8) A 15 B15 C20 D 45 8-a-07S-4-08A-4-03 11. 24 A600 B576 C564 D570

8-a-07S-4-08A-4-03 12. 2 ABCD A AB = 5 B AC = 2 10 C AB = BC D ABCD 8-a-07S-4-08A-4-03 13. 2 4 3 AB A 113 B 51 C 101 D9 8-a-07S-4-08A-4-03 14. 120 90 A135 B150 C 200D210 8-a-07S-4-08A-4-03

15. A(1,0)B(-2,-3)C(4,-3) AB BC AC AABC 18 BABC CABC D BC 8-a-07S-4-08A-4-03

16. 10 A 3 B2 C1 D 2 8-a-07S-4-08A-4-03

17. 3 y 15 y A 3 2 y B 18 y C3y D5y 8-a-07S-4-08A-4-03

18. 20 x 2 x A 24 x B 4 x C 4x 2 D16x 8-a-07S-4-08A-4-03

19. ABC B = 90 0 AB = a AC = b BC A2ab B b 2 a 2 C a 2 + b 2 D (a + b) 2 8-a-07S-4-08A-4-03

20. ABC B = 90 0 AB = 2a BC = b AC A 4a 2 + b 2 B 2a 2 + b 2 C 4a 2 b 2 D4ab 8-a-07S-4-08A-4-03

21. 5 45 A5 2 B5 C 5 2 D 2 5 2

8-a-07S-4-08A-4-03 22. 5 2 5 5 A5 B5 5 C 5 5 D10 2

8-a-07S-4-08A-4-03 23. 725a a

A84 B87.5 C100 D175 8-a-07S-4-08A-4-03 24. 10 16 A80 B48 C50 D55 8-a-07S-4-08A-4-03

25. AB = 8 AC = 6 AD = A9 B4.8 C12 D14.5 8-a-07S-4-08A-4-03

1.C 11.D 21.C 2.D 12.A 22.A 3.B 13.A 23.A 4.A 14.B 24.B 5.B 15.A 25.B 6.C 16.D 7.A 17.A 8.B 18.B 9.D 19.B 10.B 20.A

1.ABCD PQRS PS AD CD AB =10 PD =3 SD =5 A40 B50 C66 D88 8-a-07S-4-08A-4-03 2. 5 AC = A 5 3 B5 C 5 2 D10 8-a-07S-4-08A-4-03 3. ABCD AB =12 BC =20 D BC F AF CF + EF = A 32 B20 C 222 3 1 2

D15 8-a-07S-4-08A-4-03 4.ABC C = 90 AB BC 50 20 ABC A1000 B500 C600 D 5 6 8-a-07S-4-08A-4-03 5. 6 8 A 2 65 B 5 3 C10 D5 8-a-07S-4-08A-4-03 6. ABCD AC BD O P AC AP =7 PC =23 AO BP =

A2 B-2 C5 D3 8-a-07S-4-08A-4-03 7. 8 6 24 ABC A50 B60 C75 D100 8-a-07S-4-08A-4-03 8. 10 10 24 ABC A100 B110 C120 D120 2 8-a-07S-4-08A-4-03

9. ABCD A C AB =3 AD =5 CD =4 ABCD A31 B15 +6 2 2

C 15 + 5 3 D20 8-a-07S-4-08A-4-03 10. 25 7 8 15 A3 B4 C5 D6 8-a-07S-4-08A-4-03 11.ABC C=90 A C A(3,4)C(-5,0) B x=3 B A(3,-15) B(3,-16) C(3,15) D(3,16) 8-a-07S-4-08A-4-03 12. 16 1

A9 B5 C4.5 D3 8-a-07S-4-08A-4-03

13.ABC B=90 A B A(5,6)B(0,6) C 2x-y=4 C A(0, - 4) B(4, 4) C(1,2) D(- 2, - 8) 8-a-07S-4-08A-4-03

14. 16 1 A8 B9 C10

D11 8-a-07S-4-08A-4-03 15. ABCD 10 DF DE DF = A 4 3 B 6 3 C D5 2 2 10 13 3

8-a-07S-4-08A-4-03 16. AB =5 BF =12 FG =4 DF = A 185 B 6 3 C 153 D 119 8-a-07S-4-08A-4-03 17. AC = 3 BC = 5 A 34 : B 30 : 2 3

C 3 2 : D 5 3 :

5 4 8-a-07S-4-08A-4-03

18. 50 20 (ABCDEF ) 470 GH A10 B11 C12 D13

8-a-07

S-4-08A-4-03

19. AB =16BC =12AD =13AE =12 CD = A12 B10 C 89 D 83 8-a-07S-4-08A-4-03

20. AB =2 BC =3 AD = 2 3 CE =13 DE A 194

B10 C12 D 17 8-a-07S-4-08A-4-03 21. AB =10BC =8 AD = EC = AF =6 DE = A1 B2 C4 D5 8-a-07S-4-08A-4-03 22. 2 x y = 10 A 2 5 B3 C5 D 5 3 8-a-07S-4-08A-4-03 23. A150 B200

C315 D408 8-a-07S-4-08A-4-03 24. 50 A10 B 10 2 C15 D12 8-a-07S-4-08A-4-03 25. 15 A225 4 15 15 2 2

B

C 15 D 8-a-07S-4-08A-4-03 1.C 11.B 21.B 2.A 12.C 22.A 3.C 13.A 23.D 4.D 14.B 24.B 5.A 15.D 25.B 6.B 16.A 7.B 17.A 8.C 18.B 9.B 19.C 10.B 20.C

4-2 1. 11 AB A 9 B 41 C9 D 32

8-a-07S-4-08A-4-03 2. AB A BD B CH C FH D BG 8-a-07S-4-08A-4-03

3. BC A36 B37 C123 D150 8-a-07S-4-08A-4-03

4.7-11 3 5 7-11 A4 B 20 C 34 D3 8-a-07S-4-08A-4-03

5. 3.6 1.5 3.9 AB CD 8-a-07S-4-08A-4-03

6. 33 A15 C17 B20 D12

8-a-07S-4-08A-4-03

7.ABC ABC=90 AC A10 B 10 3 C 4 13 D 5 10 8-a-07S-4-08A-4-03

8. 20 17 A34 B78 C1011 D1112 8-a-07S-4-08A-4-03

9. 2 2 5 A3 B4 C9 D 33 8-a-07S-4-08A-4-03

10. A2 , 3 , 52 2 2

B 2 , 3 , 5

C8, 10,18

D 3 , 4 , 5 8-a-07S-4-08A-4-03 11. 10 2 2 A 6 3 B 12 2 C 2 23 D5

8-a-07S-4-08A-4-03 12. x A 33 B 65 C3 D65

8-a-07S-4-08A-4-03 13. ABC AB 3 3 BC 5 AC 2 A ABC B AB b > 0

A B 8a 2 + 2b 2 C (2a + b) 2 + (2a b) 2 = 8a 2 + 2b 2 D 2a + b

8-a-07S-4-08A-4-03 15. 2 2 A20 B24 C16 D32 8-a-07S-4-08A-4-03 16. 8 6 A20 5 B 20 + 2 41 C 10 + 4 41 D 15 + 2 15 8-a-07S-4-08A-4-03 17. ABCD ECFG 3 1 AD 3 EF 1 A 25 B 6.25

C

25 2

D 10 2 8-a-07S-4-08A-4-03 18. ABCD 3 EFGH K EFGH KP FG KP A 5 B 10 C4.5 D5 2

8-a-07S-4-08A-4-03 19. 10 6 () AE = EG = 2 EF + GI

A 4 2 B 6 C 5 2

D 3 5 8-a-07S-4-08A-4-03 20. ABCD ECFG 11 4 BE + DE A 3 11 + 2 B 5 11 2 C 10 2 D 2 + 11 + 15 8-a-07S-4-08A-4-03 21. ABC AB = 13 BC = 12 C = 90 o DEFC A5 2

B5 C2 D 60 8-a-07S-4-08A-4-03 17

22. ABCD AB BC BC CD DE AF AB 15BF 8AD 13DE 5CD 21 CF A 29 B5

C 23 D4 8-a-07S-4-08A-4-03 23. AB 4 AC 3 DB 5 DE 3 EF A B16 5 4 5

C1 D1.5 8-a-07S-4-08A-4-03 24. ABCD EFBG 100 64 A EG ABE A15 B 10 + 5 3 C 12 + 8 2 D18 8-a-07S-4-08A-4-03 25. ABCD 17 10 AE 7 FG 13 BH EF GI EF EFG BH + GI A12 10 13 3 + 13 2

15 2 2 24 C 5

B

D 10 3 8-a-07S-4-08A-4-03

1.D 11.C 2.B 12.B 3.C 13.B 23.B 4.B 14.C 24.C 5.D 15.B 25.A 6.B 16.B 7.C 17.B 8.B 18.D 9.C 19.C 10.A 20.D

21.D 22.A

5-1 1. x x12x+3 x4x x12 (A) x+3(B) x4(C) x+3 x4 (D) 8-a-10A-4-04 2. 9x 4 (A) x(B) x2 (C) 3x2(D) 3x48-a-10A-4-04 3. AB A B A B (A) AB1(B) AB0(C) AkBk 0 (D) AB8-a-10A-4-04 4. 2x3 (A) 2 x 3(B) 2 x x3 (C) 6 x 11x3(D) 2 x x38-a-10A-4-04 5. Ax2 x2 x3 A(A) x2 2 2 2 2 2 2 2 2 2 2

4(B) x 4(C) x x6(D) x 5x68-a-10A-4-04 6. x2 x kx4 k(A) 4(B) 4 (C) 6(D) 68-a-10A-4-04 7. 3x mx12 x1 (A) x3(B) x4(C) 2x3(D) 2x38-a-10A-4-042 2

8. 3ababd(A) a3bbd(B) b3aad (C) ab3d(D) 3ab1d 8-a-10A-4-04

9. 2x 3x1 4x 4x3 (A) x 1(B) 2x1(C) 2x3(D) 3x28-a-10A-4-04

2

2

10. mxynxy(A) xy (B) mn(C) Xy(D) xym8-a-10A-4-04

11. xy z zy x (A) xz(B) xz(C) y xz(D) z xy 8-a-10A-4-042 2

2

2

2

2

12. axaybxbycxcy (A) abc xy(B) abc xy(C) ab c xy(D) abc xy 8-a-10A-4-04

13. (A) 2x42x4 (B) 3a b6ab 9ab3aba2b3 (C) 2axyyxxy 2a1 (D) a bxyab xyxy bab a 8-a-10A-4-042 2 2 2 2 2

14. x 2 + 3x 10 = ( x + 5)( x 2) x 2 + 3 x 10 A x + 5 B x 2 C ( x + 5)( x 2) D 8-a-10A-4-04

15. 25x 2 64 A 8x 5 B 5x 8 C x D 5 x 4 8-a-10A-4-04

16. 5x + 3 A 5 x 2 + 3x B 5x 2 + 3 C 5 x 2 9 x 6 D 5 x 2 + 3 x + 2 8-a-10A-4-04

17. 8x + 5 A 8 x 2 + 5 x 1 B 2 x 2 + x 3 C 16 x 2 14 x 15 D 6 x 2 + 11x 5 8-a-10A-4-04

18. 5x 2 A 5 x 2 + 38 x + 16 B 5 x 2 + 9 x + 3 C 5 x 2 + 6 x + 7 D 5 x 2 9 x + 2 8-a-10A-4-04

19. A = ( x 3)( x 4)( x + 5) A Ax 2 2 x 15 Bx 2 x 20 Cx 2 2 x 3 Dx 2 7 x + 12

8-a-10A-4-04 20. A = ( x 1)( x + 1)( x 8) A A x 2 4 B x 2 1 C x 2 9 x + 6 D x 2 8 x + 12 8-a-10A-4-04 21. ab + ac b 2 bc = A (a b)(b + c) B (a c)(b + c) C (a + b)(b c) D (a + c)(b + c) 8-a-10A-4-04 22. 2 x 2 7 x 15 4 x 2 8 x 21 A 2 x + 3 B x 5 C 2x 7 D x + 7 8-a-10A-4-04 23. 2 x 2 3 x + 1 6 x 2 + 7 x 5 A 3x + 5 B x 1 C 2 x 1 D 2 x + 1 8-a-10A-4-04 24. m(2 x + y ) 2n(2 x + y ) A m 2n + y B m 2n C 2x + y m D x + y 8-a-10A-4-04 25. 2n(5 x + 2 y ) + 4m(5 x + 2 y )

A 4m+2n B 2n + m C 5 x 2 y D 2m n 8-a-10A-4-04

1.D 2.C 3.D 13.B 23.C 4.B 5.B 6.A 7.B 17.C 8.C 9.B 10.A

11.B 12.A 21.A 22.A

14.D 15.B 16.A 24.B 25.D

18.A 19.D 20.B

1. x2 x 3xkk(A) 6(B) 2 (C) 6(D) 28-a-10A-4-04 2. x5 x5x5(A) x5 x5 (B) xx5(C) x5 x4(D) x5 8-a-10A-4-04 3. x3 x24x3 x1(A) x 3 3x2(B) x3 3x2(C) x3 3x 2(D) x3 3x2 8-a-10A-4-04 4. ab 2xy2y2x 4ab(A) 9a2xy(B) 2xy 9ab(C) 2xy 7a 3b(D) 2xy 7a2b 8-a-10A-4-04 5. ab xyzab zyx (A) 2axyz(B) 2bxyz(C) xyz 2ab(D) xyz 2ab 8-a-10A-4-04 6. 2x1 x3 2x1 x3 (A)2x1 x3 3x 10x8 (B) 2x1 x3 3x2 x4 (C) 2x1 x3 3x2 x42 3 3 3

(D) 2x1 x3 3x2 x4 8-a-10A-4-04 7. a3xx 3a(A) x3 ax (B) x3 ax(C) x3 ax(D) x3 ax 8-a-10A-4-04 8. a2b2a 8b (A) a2b 12a4b (B) a2b 12a4b(C) a2b 12a4b (D) a2b 12a4b 8-a-10A-4-04 9. x yz3xyzy4y yz (A) yz x4y xy(B) yz x4y x y(C) yz x4y xy(D) yz x4y xy 8-a-10A-4-04 10. 2x1 4x 13x6 4x 13x 6(A) 2x1 x2 2x3 (B) 2x1 2x x6 (C) 2x1 x2 2x3 (D) 2x1 2x x6 8-a-10A-4-04 11. accebcbdadde (A) abcde2 2 3 3 2 2 2 2 2

(B) abdce (C) abedc (D) acebd8-a-10A-4-04 12. ABCD AB b a (A) b a (B) b ba (C) a b a (D) ab ba 8-a-10A-4-04 13. a2795b2796c1978d1979 acbdbcad (A) 3(B) 1 (C) 1(D) 38-a-10A-4-04 14. 12x 8x ax 4xb 2x x1 ab (A) 8(B) 8(C) 16(D) 168-a-10A-4-04 15. Ax2 2x 4x8 x A (A) x 2(B) x2(C) x 4(D) x4 8-a-10 A-4-04 16. x1(A) x 1 (B) x 1(C) x 1(D) x x18-a-10A-4-043 2 2 2 2 2 2 3 2 4 3 2 2

17. ( x 7)( x + 5) + 2( x + 5) = A 2x(x+5) B ( x + 5)( x 9) C ( x + 5)( x 5) D x + 5 8-a-10A-4-04

18. 4( x 11)( x + 3) 3( x 11) x = A( x 11)( x + 12) Bx + 12 Cx 11 D( x 11)(7 x + 12) 8-a-10A-4-04

19. 3 x( x + 3) + ( x 1)( x + 3) = A x + 3 B ( x + 3)(4 x 1) C 4 x 1 D ( x + 3)(2 x 3) 8-a-10A-4-04

20. ( x + 3)( x 5) (2 x 7)( x 5) = A x 10 B ( x + 5)( x 10) Cx+5 D ( x 5)( x 10) 8-a-10A-4-04

21. ( x + 2)( x 1)3 ( x + 2)3 ( x 1) = A ( x + 2)( x 1)(3x + 5) B ( x + 2)( x 1)(2 x 1) C 4( x + 2)( x 1)( x 2) D 3( x + 2) 2 ( x 1) 8-a-10A-4-04

22. ( x + 5)( x 7) 2( x + 5)(3 x 2) = A 2( x + 5)(3 x 8)

B ( x + 5)(2 x 1) C ( x + 5)(5 x + 11) D ( x + 5)(4 x 7) 8-a-10A-4-04 23. ( x 11)( x + 8) + ( x 11)(2 x 1) = A ( x 11)(3 x + 7) B ( x 11)(2 x + 5) C ( x 11)( x 9) D ( x 11)(5 x 13) 8-a-10A-4-04 24. ( x + 1)2 ( x + 5) + ( x + 1)( x + 5)2 = A 2( x + 1)( x + 5)( x + 4) B 2( x + 1)( x + 5)( x + 3) C ( x + 1)( x + 5)(2 x + 3) D ( x + 1)( x + 5)(2 x + 7) 8-a-10A-4-04 25. ( x + 1)3 ( x 7) ( x + 1)( x 7)3 = A ( x + 1)( x 7)(14 x 9) B 2( x + 1)( x 7)(5 x 7) C 16( x + 1)( x 7)( x 3) D 32( x + 1)( x 7)( x 4) 8-a-10A-4-04

1.B 11.C 21.D 2.C 12.D 22.C 3.C 13.B 23.A 4.B 14.C 24.B 5.A 15.C 25.C 6.D 16.C 7.A 17.C 8.C 18.A 9.C 19.B 10.C 20.D

1. x1 x2 x ax bx6 ab (A) 2(B) 3(C) 2(D) 38-a-10A-4-04 2. x 2x 2x1ax bx1 cx1 abc abc(A) 3(B) 4(C) 5(D) 68-a-10A-4-04 3. 2x 4x x 10x15x axb cx4 3 2 2 2 3 2 2 3 2

d abcd abcd(A) 9 (B) 5(C) 1(D) 28-a-10A-4-04 abcdadbc 1990791991 4. 80199080791991 (A) 519 (B) 159(C) 159(D) 5198-a-10A-4-04 5. ababbcbccaca (A) ab bc ca (B) ab bc ac (C) ab bc ac (D) ab bc ca 8-a-10A-4-04

6. a 1 14ab b (A) abab1 abab1 (B) abab1 abab1 (C) abab1 abab1 (D) abab1 abab1 8-a-10A-4-04

2

2

7. 12x 8x ax 4xb 2x x1 ab (A) 16(B) 8(C) 8(D) 168-a-10A-4-04

4

3

2

2

8. x5 x1 x1 x5144 95 99 101 105 + 144 (A) 9877 (B) 9887(C) 9987(D) 99788-a-10A-4-04

9. x 5x8 5x28 x (A) x3 x2 x4 x1 (B) x3 x2 x4 x1 (C) x3 x2 x4 x1 (D) x3 x2 x4 x1 8-a-10A-4-04

2

2

10. x2y10x 4xy4y 3x6y2 (A) 0(B) 6(C) 2(D) 168-a-10A-4-04

2

2

11. 2x 5xy3y x11y62xayb xcyd abcd abcd (A) 1(B) 2(C) 3(D) 48-a-10A-4-04

2

2

12. 2a 2b c 3ab3bcac (A) 2abc a2bc (B) 2abc a2bc (C) abc 2a2bc (D) abc 2a2bc 8-a-10A-4-04

2

2

2

13. xyzx y z 2yz (A) x y z 2yz0 (B) x y z 2yz0(C) x y z 2yz0 (D) x y z 2yz8-a-10 A-4-042 2 2 2 2 2 2 2 2 2 2 2

2

2

2

14. x 7xy 6y xy xay xby (A) ab1(B) ab6(C) a + b 5 (D) ab 58-a-10A-4-04

3

2

3

15. 4a3b 3ab3ab 3ab4a 3b a2b(A) a2b ab (B) a2b 3a2b(C) a2b 5a2b

(D) a2b 7a2b 8-a-10A-4-04 16. x + 1 x 2 x 3 + ax 2 + bx 10 a b = A B C D 8-a-10A-4-04 11 12 13 14 17. x + 1 x 2 x 3 + ax 2 + bx + 6 ab = A B C D 8-a-10A-4-04 -1 -4 8 10 18. 2 x 1 A 6 x 2 + 7 x 5 B 6 x 2 + x 1 C 6 x 2 + 4 x + 10 D 9 x 2 + 6 x 35 8-a-10A-4-04 19. x + 1 4 x 3 + 4 x 2 49 x 49 A ( x 7)( x + 7)(2 x 5) B ( x 7)( x + 7)(3 x + 8) C ( x + 1)(2 x 7)(2 x + 7) D ( x 1)(2 x 7)( x + 1) 8-a-10A-4-04 20. 3x + 5 A 6 x 2 13 x + 5 B 3 x 2 + 7 x + 4 C 21x 2 29 x 10

D 6 x 2 11x 35 8-a-10A-4-04 21. x 7 x + 2 x 3 4 x 2 + ax 14 A ( x + 2)( x 1) B ( x 7)( x + 11) C ( x + 2)( x 3) D ( x + 7)( x 2) 8-a-10A-4-04 22. x 7 x + 2 x3 4 x 2 + ax + b a b = A B C D 8-a-10A-4-04 -3 -4 -5 -6 23. 6 x3 + 8 x 2 + 17 x + 5 = (ax 2 + bx + c)(3x + 1) a b c a + b + c =

A6 B7 C8 D9 8-a-10A-4-04 24. 6 x3 + 8 x 2 + 17 x + 5 = (ax 2 + bx + c)(3x + 1) a b c abc =

A14 B20 C21 D30 8-a-10A-4-04 25. 6 x 2 11xy 35 y 2 49 x + y + 88 = (3x + ay + b)(2 x + cy + d ) a b c d a + b + c + d =

A-15 B-21 C-24 D-27 8-a-10A-4-04

1.B 2.A 3.D 13.A 23.D 4.C 14.C 24.B 5.B 15.D 25.B 6.D 16.A 7.D 17.B 8.C 18.A 9.D 19.C 10.B 20.D

11.C 12.A 21.A 22.C

5-2 1. 4x 1(A) 4x1 4x1 (B) 2x1 (C) 2x1 2x1(D) 4x1 8-a-10A-4-04 2. 92x (A) 1x 5x (B) 5x 1x(C) 5x 1x (D) 9x 12x 8-a-10A-4-04 3. x xkk(A) (B) (C) 1 2 1 1 (D) 8-a-10A-4-04 4 22 2 2 2 2 2

1 4

4. 3x2y 93xmy3 3x2yn (A) mn(B) mn(C) mn(D) mn 08-a-10A-4-04

5. (A) x 4x4 (B) x 6x9(C) x x (D) 2x 8x88-a-10 A-4-042 2

2

1 4

2

6. ab5ab a b (A) 1 (B) 5(C)1 1 (D) 8-a-10A-4-04 5 5

1 5

2

2

7. 25x 40x16axb a0ab (A) 9(B) 1(C) 9(D) 18-a-10A-4-04

2

2

8. x 2xkk (A)1 1 (B) (C) 2(D) 48-a-10A-4-04 4 22

1 4

2

9. xy 2xy1 (A) xy1 (B) xy1 (C) xy1 (D) xy1 8-a-10A-4-042 2 2 2

10. 4x ax25 2xb a 2ab(A) 25(B) 35(C) 45 (D) 558-a-10A-4-04

2

2

11. (A) x 6x8 (B) x 12x16(C) x 8x10(D) x 4x48-a-10 A-4-042 2 2

2

12. 4x 4x1(A) 2x12 2

2

2

(B) 2x1 (C) 4x1 (D) 4x18-a-10 A-4-04 13. 162x (A) 6x 2x (B) 6x 2x(C) 6x 2x (D) 6x 2x 8-a-10A-4-042

2

14. x kx1 k(A) 2 (B) (C) 1 (D)1 2 1 8-a-10A-4-04 2

2

15. 2x3y 42xmy2 2x3yn (A) mn(B) mn(C) mn(D) m n08-a-10A-4-04

2

16. (A) x 4x4 (B) x 3x9(C) x x (D) 4x 8x88-a-10 A-4-042 2

2

1 4

2

17. ab5ab1a b (A)4 (B)13(C)23 (D)278-a-10A-4-04

2

2

18. 16x 24x9axb a0ab (A) 9(B) 1(C) 9(D) 18-a-10A-4-04

2

2

19. x 4xkk (A)1 (B) 2(C) 4D16 8-a-10A-4-04 22

1 4

2

20. xy 4xy4 (A) xy2 (B) xy2 (C) xy2 (D) xy2 8-a-10A-4-042 2 2 2

21. 4x ax9 2xb b a2b(A) 6(B) 6(C) 12

2

2

(D) 12 8-a-10A-4-04 22.(A) x 4 (B) x 2x2(C) 4x (D) x 4x48-a-10 A-4-04 23. a 2b 2 1 (A) ab1 ab1 (B) ab1 ab1(C) ab1 ab1 (D) 2ab1 8-a-10A-4-04 24. 3xy 2xy (A)5xx2y (B) 5xx2y(C) 5xx2y(D) 5xx2y 8-a-10A-4-04 25. x xa4x4a (A) xa x2 x2(B)xa x2 x2 (C) xa x1 x1(D) xa x1 x1 8-a-10A-4-04 26. ab 6ab9 (A) ab3 (B) ab3 (C) ab3 (D) ab3 8-a-10A-4-04 27. 3a 3aba b (A) 2ab 2ab (B) 4ab ab (C) ab 2ab (D) ab 4ab 8-a-10A-4-042 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2

28. x 2ax9xb ab(A) 12(B) 6(C) 0 D6 8-a-10A-4-04

2

2

29. x xy y(A) xy xy1 x (B) y xy1 (C) xy xy1(D) xy xy1 8-a-10A-4-04

2

2

30.kx 40x25 k (A) 4 (B) 8 (C) 16D32 8-a-10A-4-042 2

2

31. x y xy(A) xy x y1(B) xy xy1(C) xy xy 1(D) xy xy1 8-a-10A-4-04

32. x 3xkk(A) (B) (C)1 2 9 1 (D) 8-a-10A-4-04 4 22

2

9 4

33. x2y 4xmy2 x2yn (A) mn(B) mn(C) mn(D) mn 08-a-10A-4-04

34. (A) x 1 (B) x x (C) x x (D) x 8x88-a-10 A-4-042

2

1 2

1 4

2

1 4

2

35. ab5ab3ab (A) 7(B) 9(C) 11(D)

2

138-a-10A-4-04 36. x 4xaxb ab(A) 12(B) 6(C) 0 D6 8-a-10A-4-04 37. 253x2 (A) 33x7 1x(B) 33x7 1x (C) 3x7 33x(D) 33x 7 1x 8-a-10A-4-04 38. 2x 8xkk 4 (B) 8 (C) 16D32 8-a-10A-4-04 39. 2xyx y A xy (B)xy (C) xy (D)xy 8-a-10A-4-04 40. 4ab 4a4b1A 2a2b1 (B) 2a2b1 (C) 2a2b1 (D)2a2b1 8-a-10 A-4-042 2 2 2 2 2 2 2 2 2 2 2 2 2 2

1.C 2.C 3.A 4.A 5.B 6.A 7.D 8.D 9.B 10.C 11.D 12.B 13.D 14.A 15.A 16.C 17.C 18.D 19.D 20.A 21.B 22.C 23.C 24.A 25.B 26.C 27.D 28.C 29.B 30.C 31.B 32.C 33.B 34.C 35.D 36.B 37.B 38.B 39.C 40.A

1. ab c ca b (A) ab ab(B) ab ab c c (C) ac ac(D) ac ac b b 8-a-10 A-4-04 2. x 81(A) x 9 9 x (B) x 9 x9 x9(C) x 3 x3 x 3(D) x 9 x3 x3 8-a-10A-4-04 3. ( x 2 1) 2 ( x + 2) 2 = x 2 + ax + b ab x2 + x + 12 2 2 4 2 2 2 2 2 2 2 2 2 2

(A) 13(B) 13(C) 13 (D) 13 8-a-10A-4-04 4. a2ba 4b (A) a2b 1a2b (B) a2b 1a2b (C) a2b 1a2b (D) a2b 1a2b 8-a-10A-4-04 5. 9x m2x16 m (A) 22 26(B) 22 26 (C) 20 24(D) 20 248-a-10A-4-042 2 2

6. x 3x 8x 3x20 (A) x 3x10 3x2 x (B) x 3x10 3x2 x (C) x5 x2 x2 x1 (D) x5 x2 x2 x1 8-a-10A-4-042 2 2 2

2

2

2

7. x0x

2

1 1 79x (A) 7 2 x x

(B) 9(C) 77(D) 818-a-10A-4-04 8. 4x m5x49 m (A) 11(B) 13 11(C) 33 23(D) 23 13 8-a-10A-4-04 9. x x 8xx 12(A) x2 x1 x3(B) x2 x1 x3 x2 (C) x2 x1 x3(D) x2 x1 x 3 x2 8-a-10A-4-04 10. ab4a b 12a bab ab (A) 2(B) 2(C) 4(D) 48-a-10A-4-04 11. a53 b47 2a2b3a 3b (A) 1128 (B) 1218(C) 1812(D) 18218-a-10A-4-042 2 2 2 2 2 2 2 2 2 2 2

12. 7ab b 49a (A) 7ab (B) 7ab (C) 7ab (D) 7ab 8-a-10A-4-042 2 2 2

2

4

2

13. xyx y 6y90 3x2y (A) 3(B) 4(C) 5(D) 68-a-10A-4-04

2

2

14. xy17xy8x y 8 x y 16 (A) 14100(B) 15100 (C) 16100(D) 171008-a-10A-4-042 2

2

2

2

15. 4x4x y 2y(A) 2xy y2x2 (B) 2xy y2x2(C) 2xy y2x2 (D) 2xy y2x2 8-a-10A-4-04

2

2

16. a 4ab a2b (A) a2b 2ab1(B) a2b 2ab1 a a (C) a2b 2ab1(D) a2b 2ab1 a a 8-a-10A-4-042 2 2 2

3

2

17. 16a (A) 4a 4a(B) 4a 4a (C) 4a 2a 2a (D) 4a 2 a 2a 8-a-10A-4-042 2 2

4

2

2

18. x yzy zx

2

2

(A) xy xyxzyz (B) xy xyxzyz (C) xy xyxzyz (D) xy xyxzyz 8-a-10A-4-04 19. x2 x1 x2 x1 (A) x2 x1 2x3 (B) x2 x1 2x3 (C) x2 x1 2x3 (D) x2 x1 2x3 8-a-10A-4-04 20. x0x 2 3 3

1 1 62x (A) 5 2 x x

(B) 6(C) 7(D) 88-a-10A-4-04 21. ab6ab2a bab ab (A) 18(B) 18(C) 14(D) 148-a-10A-4-04 22. a51b49 2a2b3a 3b (A) 600 (B) 800(C) 400(D) 600 8-a-10A-4-042 2 2 2

23. x 16 x 256 (A) x 16 (B) x 8 (C) 16x (D) 8x 8-a-10 A-4-044 4 4 4

4

8

24. xyx y 6x4y130 3x2y (A) 3(B) 4(C) 5(D) 68-a-10A-4-04

2

2

25. 9x 24x y 16y (A) 3x4 y (B)3x 4y(C) 3x4y 3x4y (D) 8-a-10A-4-042 2 2 2

2

2

4

2

2

26. 168x3yx3y (A) 4x 3y (B)4x3y (C) 4x3y (D) 4x 3y 8-a-10A-4-042 2 2 2

2

27. 4ab 4ab1(A)2ab12 2

2

2

(B)2ab1 (C) a2b1 (D) 2a2b12

8-a-10A-4-044 2 2 4 2 2

28.a 2a b b (A) ab ab (B) a b a2b (C) ab 2ab (D) a 2b ab 8-a-10A-4-042 2 2 2 2 2

29. x cx

2

81 c 4

(A) 3(B) 6(C) 9(D) 128-a-10A-4-04 30. 4x m2x9 m (A) 14 10(B) 14 10(C) 14 10(D) 14 108-a-10A-4-042

1.C 2.D 3.D 4.B 5.A 6.D 7.B 8.C 9.B 10.C 11.C 12.D 13.D 14.D 15.C 16.B 17.D 18.A 19.C 20.D 21.B 22.B 23.A 24.C 25.D 26.B 27.D 28.A 29.C 30.A

1. 36x 65x 36 (A) 2x3 2x3 3x2 3x2 (B) 2x3 2x3 9x 4 (C) 3x2 3x2 4x 9 (D) 4x 9 9x 4 8-a-10A-4-04 2. 190 200 2 1 (A) 191(B) 193(C) 195(D) 1978-a-10 A-4-04 3. a b ab ab 316 1 1 (A) 1(B) (C) 2 2 4 10 82 6562 2 1 (D) 8-a-10A-4-04 3962 2 24 2 2 2 2 4 2

4. ab5ab2a b (A) 334 (B) 343(C) 433(D) 4438-a-10A-4-04

4

4

5. ab4ab3a b (A) 82 (B) 83(C) 84(D) 858-a-10A-4-04

4

4

1.B 2.C 3.A 4.C 5.A

5-3 1. x cxdxcd(A) xc xd (B) xc xd(C) xc xd (D) xc xd 8-a-10A-4-04 2. ay a xy2xy2ax (A) axy ay2x(B) xy y2x a (C) y2x xy a (D) 2yx xy a 8-a-10 A-4-04 3. x 10x24xa xb aba (A) 4(B) 2(C) 6(D) 128-a-10A-4-04 4. 82xx (A) x4 x2 (B) x4 x2(C) x4 x2 (D) x4 x2 8-a-10A-4-04 5. 6x x15axb cxd abcd ca0(A) a3(B) b 5(C) c2(D) d58-a-10A-4-042 2 2 2 2 2 2 2 2 2

6. 27x 6x403xa bx10 ab (A) (B) (C) (D) 8-a-10 A-4-04

2

7. 2x1 x79(A) x1 (B) x79(C) 2x1(D) x78-a-10A-4-04

2

8. x pxqxa xb (A) pab(B) Pab(C) Qab (D) qab8-a-10A-4-04

2

9. x1 x24(A) x x6 (B) x x6(C) x2 x3 (D) x2 x3 8-a-10A-4-042

2

10. x2 x18(A) x2 x7 (B) x2 x7(C) x 5x14 (D) x 5x148-a-10A-4-042 2

2

11. 2xy 5xy3x(A) xyx 2y3 (B) y1 2xy3x(C) x2y 5y3 (D) xy1 2y3 8-a-10A-4-042

2

12. ax ax6 a (A) 1 (B) 1(C) 3(D) 58-a-10A-4-04

2

13. 3x x10x 2(A) 4x3(B) 4x3 (C) 8x6(D) 8x68-a-10A-4-04

2

14. 2x 11x21 (A) 2x7 (B) 2x3(C) x7(D) x78-a-10A-4-04

2

15. (A) 2x1 4x 8x3 (B) x x20 x2 (C) 2x3 2x 3x9 (D) x 1 x1 8-a-10A-4-042 2 2

2

16. x 3x1 x4 (A) 5(B) 4(C) 3 (D) 38-a-10A-4-04

2

17. 5xy2x15y6 (A) x3 (B) x3(C) 5y2(D) 2y58-a-10A-4-04

18. x2 5x 11xax bx2 ab (A) 3(B) 1(C) 1(D) 38-a-10A-4-04

2

2

19. x xy6y (A) x3y (B) x2y(C) x2y(D) x6y8-a-10A-4-04

2

2

20. 4ab94a b (A) 32ab 32ab (B) 32ab 32ab (C) 32ab 32ab (D) 32ab 32ab 8-a-10A-4-04

2

2

21. 3630x6x (A) 62x x3 (B) 66x1 x1(C) 6x2 x3 (D) 6x1 x6 8-a-10A-4-04

2

1.D 2.A 3.D 4.D 5.D 6.B 7.D 8.B 9.C 10.D 11.D 12.C 13.C 14.D 15.C 16.A 17.B 18.A 19.B 20.D 21.D

1. x x2 x12 x (A) x 2x3(B) x 5x4 (C) x 5x6(D) x 2x88-a-10A-4-04 2. 589 x 5x6 19xa bxc abc (A) a3 (B) b570(C) c2(D) abc30 8-a-10A-4-04 3. 6x 5x 13x12 (A) 2x3 (B) x1(C) 3x4(D) x28-a-10A-4-04 4. x 2xb 3 x 2x ax12 ab (A) 2(B) 4(C) 2(D) 48-a-10A-4-04 5. (A) (B) (C) 8-a-10 (D) A-4-042 3 2 3 2 2 2 2 2 2 2 2

6. xy84x2y (A) x2 (B) x2(C) x4(D) x88-a-10A-4-04

7. 3a 6ax5ac8bx4ab10cx (A) 3a4b5c a2x (B) 3a4b5c a2x (C) 3a4b5c a2x (D) 3a4b5c a2x -a-10A-4-04 8

2

8. x y 2yzz (A) xyz xyz (B) xyz xyz(C) xyz xyz (D) xyz xyz 8-a-10A-4-04

2

2

2

9. x y 6x8yz 10z500xyz (A) 6(B) 12 (C) 24(D) 488-a-10A-4-04

2

2

2

10. x 5x 4(A) x 4 1 x x (B) x 4 1(C) x4 x x4 x1 1 x2 (D) x2 x1 x1 8-a-10A-4-042 2

4

2

2

2

11. y y 2 3 y (A) y 6 y 1(B) y 6 1 y (C) y 6 y1 y1 8-a-10A-4-04 (D) y6 y6 y1 1 y2 2 2 2 2 2 2

12. 7x 19x6axb cxd abcd ac0 abcd(A) 13(B) 17 (C) 13(D) 178-a-10A-4-04

2

13. 7x1 4x1 220y2 y (A) 7x10y27 x2y3 (B) 7x10y17 x2y3 (C) 7x10y27 x2y1 (D) 7x10y13 x2y5 -a-10A-4-04 8

2

2

14. 2x2y 32yx215 (A) 2x4y3 x2y3 (B) 2x2y3 x2y3 (C) 2x4y3 x2y3 (D) 2x2y3 x2y3 -a-10A-4-04 8

2

15. x yx 3xy2x2y1 (A) x1 xyx2y1 (B) x1 xyx2y1 (C) x1 x2 y1 (D) x1 x2 y1 -a-10A-4-04 8

2

2

16. 12 32 21 (A) 8x8(B) 8x10 (C) 16x16(D) 16x20 8-a-10A-4-04

17. 15x 2x77 abc (A) 0(B) 1 (C) 2(D) 38-a-10A-4-04

2

18. ABCD 4a 5b AE (A) 16a 25b (B) 16a20b (C) 8a10b (D) 16a8-a-10A-4-042 2

19. 2a 3a2 a 42a 5a2 a2 (A) 2a a 8a4 (B) 2a a 8a4(C) 2a a 8a (D) 8a a 8a48-a-10A-4-043 2 3 2 3 2 3 2 2 2

2

20. abc 5x axbcx 3 x2 a2b3c (A) 10 (B) 16(C) 10(D) 168-a-10A-4-04

2

21. x 4y 12yz9z (A) x2y3z x2y3z (B) x2y3z x2y3z (C) x2y3z x2y3z (D) x2y3z x2y3z -a-10A-4-04 8

2

2

2

22. 4x 13x62x3 axb cx2 a b (A) 0(B) 1(C) 1(D) 28-a-10A-4-04 c

3

23. x2y3x 4xy4y 5x10y6 (A) 0(B) 1(C) 2(D) 38-a-10A-4-04

2

2

24. x 2xy3y 0xy (A) 1(B) 0(C)

2

2

x+ y x y

1 (D) 28-a-10A-4-04 2

25. ax bxcpxq rxs (A) apr(B) cqs (C) bqrps(D) bprqs8-a-10A-4-04

2

26. 7x1 4x1 y220y2 7xay27 x2y3 a(A) 10 (B) 10(C) 2(D) 28-a-10A-4-04

2

2

27. x x1 x24 998 99910004 (A) 195000(B) 1990000 (C) 1995000(D) 19550008-a-10A-4-04

2

2

28. abcdadbc 1998791997 80199880791997(A) 159(B) 195 (C) 159(D) 1958-a-10A-4-04

29. 2x1 x2 2xx1(A) x 1 x3(B) x1 x3(C) x1 x3 (D) x1 x3 8-a-10A-4-04

2

2

30. x 2xy8y 2x14y3(A) x4y 1 x2y3(B) x4y1 x2y3 (C) x4y1 xy3(D) x4y1 x2y 3 8-a-10A-4-04

2

2

31. x 4xy3y 6y9 (A) x3y(B) x3y3(C) xy (D) xy38-a-10A-4-04

2

2

32. x xy3 y4 xy3 (A) xy4 xy3(B) xy4 (C) xy4 xy3(D) xy4 xy3 8-a-10A-4-04

2

33. A6x 11x x4 x1 A (A) 3x1(B) 3x4 (C) x1(D) 2x18-a-10A-4-04

3

2

34. 4x y 2xyx y 2xy (A) 2xyxy 2xyxy(B) 2xyxy xy(C) 2xyxy 2xyxy (D) 2xyxy 2xyxy 8-a-10A-4-04

2 2

2

2

35. x33y34x 4xy4y 3x6y2 (A) 100(B) 9100(C) 9800(D) 9900 8-a-10A-4-04

2

2

36. a b 2bcc 1abc 2abc 3abc 4ab c 2(B) 1 3 (A) 1 (C) 2 3(D) 2 8-a-10A-4-04 4

2

2

2

1.A 2.D 3.D 4.D 5.B 6.A 7.D 8.B 9.A 10.D 11.C 12.D 13.A 14.C 15.B 16.D 17.B 18.D 19.A 20.A 21.B 22.B 23.A 24.D 25.D 26.A 27.C 28.A 29.A 30.B 31.B 32.A 33.D 34.D 35.D 36.C

1. x yxy y zyz z xzx xyzax bycz xyyzzx abc ab c(A) 3(B) 1(C) 1(D) 38-a-10A-4-04 2. x 4x axb cxd x a bcd abcd(A) 2 (B) 4(C) 2(D) 48-a-10A-4-04 3. xyzx 2y z 2x8y6z18 0 x2y3z (A) 14(B) 11 (C) 11(D) 148-a-10A-4-04 4. 6x 5x 13xk 2x3 x k (A) 6(B) 9 (C) 12(D) 158-a-10A-4-04 5. 088 (A) 22x 10x22(B) 22x 10x22 (C) 22x 22x10(D) 22x 22x108-a-10A-4-04 6. x xy6y 6x28ykxy k (A) 16(B) 12 (C) 12(D) 168-a-10A-4-042 2 2 2 2 2 3 2 2 2 2 4 2 2 2 2 2 2 2 2

7. xy1 x1 y1xy (A) xy1x xy1y (B) xy1x xy1y (C) xy1x xy1y (D) xy1x xy1y -a-10A-4-04 8

8. x 5x6 20x964x x (A) x 15x24 10x24 x (B) x 15x24 10x24 x (C) x 15x24 x4 x6 (D) x2 x4 x6 x12 8-a-10A-4-04 2 2 2 2 2

2

2

2

9. x3 x2 x4 x124 (A) x3 x2 x8 x (B) x3 x2 x8 x (C) x3 x2 x8 x (D) x3 x2 x8 -a-10A-4-04 x 82 2 2 2

10. 12x 8x mx 4xn 2x x1 mn 12x 8x mx 4xn (A) 2x1 x1 2x3 3x1 (B) 2x1 x1 2x3 3x1 (C) 2x1 x1 2x3 3x1 (D) 2x1 x1 2x3 3x1 8-a-10A-4-044 3 2

4

3

2

2

11. x 9x 1 x2 x2 (A) 9x 1 x2 x2 (B) 3x1 3x1 x2 x2 (C) 9x 1 4 x (D) 3x1 3x1 4 x 8-a-10A-4-042 2 2 2 2

12. 2x1 x32xx6 x (A) 2x1(B) 2x1(C) x2 (D) x18-a-10A-4-04

2

13. aba b 346a10b 2a3b (A) 19(B) 21(C) 19(D) 218-a-10A-4-04

2

2

14. ab2 3 bc2 3 a b c ab bcca(A) 13(B) 15(C) 17(D) 198-a-10A-4-04

2

2

2

15. 2x 4x x 10x15 (A) x3(B) 2x 2x5(C) 2x 5 (D) x 2x38-a-10A-4-042 2 2

4

3

2

16. ABCabca b c 10a10b10 2 c100 ABC (A) 12(B) 12.5(C) 13(D) 13.58-a-10A-4-04

2

2

2

17. 9x 37x 4 931 3731 4 (A) 2 311232947(B) 2 313232947 (C) 2 313232947(D) 2 311232947 8-a-10A-4-042 3 2 3

4

2

4

2

18. x 4x 2x2 7 (A) x1 x3 x1 x5 (B) x1 x3 x1 x5 (C) x1 x3 x1 x5 (D) x1 x3 x1 x5 -a-10A-4-04 8

2

2

2

19. Ax2 4x3 3x4 x x A(A) x x6(B) x 5x6 (C) x 1(D) x 6x88-a-10A-4-042 2 2 2

2

2

1.B 2.B 3.A 4.C 5.A 6.A 7.B 8.C 9.D 10.A 11.D 12.B 13.D 14.B 15.D 16.B 17.D 18.B 19.A

6-1 1. x 3 x + 2 = 0 2

A B C D 8-a-13A-4-05 2 -2 -1 0 2. ( x 2)( x 5) = 0 A B C D 8-a-13A-4-05 2 -2 -1 0 3. x 5 x 6 = 0 2

A6 B-6C2 D3 8-a-13A-4-05 4. ( x 2)( x 5) = 2 A 3B2 C5 D7 8-a-13A-4-05 5. x 2 10 x + 26 = 0 ab a+b A-10 B2 C-2 D10 8-a-13A-4-05 x 2 2 x 63 = 0 ab ab 6. A B C D 8-a-13A-4-05 -63 63 2 -2 2 7. x 3 x 28 = 0 ab ab

aA-4 B4 C7 D-7 8-a-13 A-4-05

8. ( x + 2)( x 5) = 44 ab

a < b aA-9 B9 C-6 D6 8-a-13A-4-05 9. (2 x 5)(3x + 1) = 0

5 1 5 1 5 1 5 1 A B C D 2 3 2 3 2 3 2 3 8-a-13A-4-05 10. x 2 65 x + 244 = 0 A614 B-614 C61-4 D-61-4 8-a-13A-4-05 11. ab ( x 2 )( 2 x + 5) = 0 a

b abA

1 1 9 9 B C D 2 2 2 2

8-a-13A-4-05 12. ab ( x 2 )( x + 3) = 0 a b 2abA-2B1C2D4 8-a-13A-4-05 13. ( x 3)( x + 5) = 2( x 3) A B C 3 D 3 5 8-a-13A-4-05 3 14. ( x 4)( x + 5) = ( x 4)

A BC D -5 -5 4 4 4 8-a-13A-4-05 15. ( x 1)( x + 3) = x + 1 A 1 4B1 4 C1 4 D1 4 8-a-13A-4-05 16. 6 x 2 + 11x 7 = 0 A 2

1 1 7 3 7 3 B C 2 D 7 2 3 7 2 3

8-a-14A-4-05 2 16. 7 x 11x + 6 = 0

A 2

1 1 7 3 7 3 B C 2 D 7 2 3 7 2 3

8-a-14A-4-05 18. x 2 4 x 396 = 0 A22 -18 B-22 18 C22 18 D-22 -18 8-a-14A-4-05 19. ( x + 2) 2 + 3( x + 2) 4 = 0 A6 1 B-6 1 C-6 -1 D6 -1 8-a-14A-4-05 2 20. ( x 2) 3( x 2) 4 = 0

A6 1 B-6 1 C-6 -1 D6 -1

8-a-14A-4-05 21. ( x 3) 2 + 5( x 3) 14 = 0 A-4 5 B4 -5 C-4 -5 D4 5 8-a-14A-4-05 2 22. ( x 2) + 5( x 2) 14 = 0 ab

a>b a= A5 B4 C-4 D-5 8-a-14A-4-05 23. ( x 1) 2 = (2 x 5) 2 A2 4 B-2 4 C-2 -4 D2 -4 8-a-14A-4-05 2 2 24. (2 x 7) = ( x 3)

A4

10 10 10 10 B-4 C4 D-4 3 3 3 3

8-a-14A-4-05 25. ( x 2) 2 + 6( x 2) + 9 = 0 A1 B-1 C 1 D3 8-a-14A-4-05 2 26. ( x 3) 6( x 3) + 9 = 0

A3 B6 C3

D6 8-a-14A-4-05

27. (2 x + 5) 2 4(2 x + 5) + 4 = 0 A 3 3 3 B C D 2 2 2 2

8-a-14A-4-05

1.A 11.C 21.A

2.A 12.B 22.B

3.A 13.D 23.A

4.A

5.D

6.A 16.B 26.B

7.C 17.C 27.C

8.C 18.A

9.C 19.C

10.A 20.A

14.C 15.D 24.A 25.B

1. (2 x 3)( x + 2) ( x + 1)( x + 5) = 5 A6 -1 B-6 1 C-6 -1 D6 1 8-a-13A-4-05 2.

x( x 2) x( x + 1) + = 2 2 3 6 6 6 6 A 2 B 2 C 2 D 2 5 5 5 5 8-a-13A-4-05

3. ( x + 1) 2 2 x( x 1) = 4 6 6 6 6 A 2 B 2 C 2 D 2 5 5 5 5 8-a-13A-4-05 4. ( x 2)(2 x + 1) x( x 1) = 3 2

A4 1B-4 -1 C-4 1 D4 -1 8-a-13A-4-05 5. -32 3x 2 + ax + b = 0 a-b A -15B15 C-21 D21 8-a-14A-4-05

3 5 ax 2 + bx 15 = 0 4 x 2 x 6. 2 4 15 15 A B C D 8-a-14A-4-05 0 15 2 45 5 x 2 + ax + b = 0 12(a + b) 7. 3 4

A-20 B30 C-30 D-20 8-a-14A-4-05 8. x ( x + 2) x5 = 3 2

3 3 2 2 A -5 B -5 C 5 D 5 3 2 3 2 8-a-14A-4-05 9. x(3 x 5) x(8 x 7) 1 + = 5 10 2

1 1 5 7 5 5 A B 2 C D -2 7 2 7 5 2 7 8-a-14A-4-05 10. ( x 2)(2 x + 1) + (3x 1)(2 x + 1) = 0 AB ABXABY X+YA C 1 1 B 5 6

1 1 D 8-a-14A-4-05 7 8

11. x 2 3x 4 = 0 AB A 2 + B 2 A B C D 8-a-14A-4-05 5 11 17 19

12. ( x 3)( x 5) ( x 3)(2 x 1) = 0 A 3 B-3 C-1 D 1 8-a-14A-4-05

13. 2 x 2 + 13x 7 = 0

A

13 7 B 2 2 1 CD -7 2

8-a-14A-4-05 14. 4-5 A x 2 + x 20 = 0 B x 2 x 20 = 0 C x 2 + x + 20 = 0 D x 2 x + 20 = 0 8-a-14A-4-05 15. 7-5

x 2 + ax + b = 0 a+bA37 B33C-37 D-33 8-a-14A-4-05 16. x 3 + 3 x 3 10 = 0 2

A-5 2 B 5 1C8 -2 D2 -2 8-a-14A-4-05 17. 3x + 5 + 7 3x + 5 18 = 0 2

A-1

7 B-9 2 C2 -2 D-9 9 3

8-a-14A-4-05 18. ( x 2)( x 2 + 7 x 3) = 0 A B C D 8-a-14A-4-05 2 -7 -5 -9 19. (3x 5)(6 x 2 20 x 3) = 0

A5 B

5 10 13 C D 3 3 3

8-a-14A-4-05 20. (3x + 1)(2 x 2 + 5 x 7) = 0 A

5 2 1 B C1 D 2 3 3

8-a-14A-4-05 21. ( x 2 y ) 2 + 5(2 y x) 14 = 0 x y A x 2 y = 7 x 2 y = 2 B x 2 y = 7 x 2 y = 2 C x 2 y = 7 D x 2 y = 2 8-a-14A-4-05 22. x 2 5 x 2 x + 10 = 0 A 10 2 B 5 2 C 10 5 D 5 8-a-14A-4-05 2 23. 481x + 2 x 3 = (37 x + a)(bx + c)

481x 2 + 2 x 3 = 0 AD 1 372

1 3 3 (B- C 13 13 37

24. ( x + y) 3( x + y) 4 = 0 x + y 2 A2 5 (B1 3 (C2 3 (D)1

5

25. x 5 x 8 x + 3 = 0 2

A

3 (B1 (C-1(D)2 5

1.A 12.C 22.B

2.B

3.B

4.D 5.D 6.C 7.C 8.B 15.C 25.B

9.A 10.D

11.C

13.C 23.A

14.A 24.C

16.B 17. 18.C 19.A 20.B 21.A

1. x 2-3 1 5A x 2 x 6 = 0 B x 2 6 x + 5 = 0 C x 2 6 x 6 = 0 D x 2 x + 5 = 0 8-a-14A-4-05 3 4 2. 7 5 A 7 x 2 + 43x + 12 = 0 B 35 x 2 + 15 x + 12 = 0 C 35x 2 + 43x + 12 = 0 D x 2 + 43x 12 = 0 8-a-14A-4-05 3. x 2 + ax + b = 0 -39 a 2 + b A B C D 8-a-14A-4-05 9 27 765 36 4. 6n 2 11n 10 n A3 B5 C9 D11 8-a-14A-4-05 5. 4( x 1) 2 + 4( x 1) + 1 = 0 x=A0 B 3 1 3 C D 8-a-14A-4-05 2 5 4

( x + 3) 2 + x 2 + ( x 3) 2 = 126 a 6. b ab=A0 B-6 C12 D-12 8-a-14A-4-05

7. x0 15x 7x3 15xx= A 6 3 2 3 B C D 5 2 3 5

2

8-a-14A-4-05 2 8. (a + b) + 6(a + b) 16 = 0 a + b + 4

A5 6B4 6 C8 5 D3 6 8-a-14 A-4-05 2 2 9. 91x 53 x + 6 = 0 A

7

B

3 2 3 C D 8-a-14A-4-05 7 13 13

2 2 10. xy 0 4 x 8 xy + 3 y = 0

x y =A

3 1 3 1 3 1 3 1 B- - C- D 2 2 2 2 2 2 2 2

8-a-14A-4-05 11. ax 2 5 x + c = 0 x a -12

14 c 9

23 A-14 B-1-3 C7-2 D36 8-a-14 A-4-05 12.(3x+1)cm(2x-3)cm 65cm cmA30 B C 36 32 D 40 8-a-14A-4-052

13. 440 A16 B14 C12 D10 8-a-14A-4-05 14. 54 3 A12 B13 C14 D15 8-a-14A-4-05 15. 55 3 3 A B C D 8-a-14A-4-05 7 9 11 13 16. x 1 2 3000 A(x-2)(2x+1)=3000 C2x -3x=30022

B(x+2)(2x-1)+3000=0 (D2x +3x-3002=0 8-a-14A-4-052

17.x bxc=0x bx c=0-4 3

2

2

A4 -3 B-4 3 C4 3 D-4 -3 8-a-14A-4-05 18. -2x bx2c=0 5 -4 Ab=-2 Bc=20 Cb+c=18 D b+c=-18 8-a-14A-4-052

x 19. ( + 1)( x 2) = 0 ab ab 4

A3a=-8 B2b=4 C a+b=-2 Da-b=-6 8-a-14A-4-05

20. 13 7 A B C D ( 8-a-14A-4-05 30 36 42 60

21.(3x5y)(3x5y4)5=0 3x5y= A-2 -3 B -1 5C1 -5 D-1 -3 8-a-14A-4-05

22. x(x4)896=0 x= A32 -28 B30 -30 C28 -32 D-32 -28 8-a-14A-4-05

23.(3x+2)cm(2x-1)cm 73 cm

A B 24 30 C D 8-a-14A-4-05 22 20 24. 16 90 A B 6 5 C D 7 8 2

8-a-14A-4-05

25.ab 4x -16x+15=0 ab A2a=3 B2b=-3 Ca+b=-4 Da-b=1 8-a-14A-4-05

1.C 11.C 21.C 2.C 12.C 22.A 3.A 13.B 23.C 4.A 14.D 24.C 5.B 6.A 7.A 8.B 9.C 10.A

15.A 16.D 17.A 25.D

18.D 19.C 20.A

6-2 1. 9 x 2 = 0 A3 B-3 C 9D0 8-a-13A-4-05 2. ( x 5) 2 16 = 0 A 1 B 9 C 1 9 D1 9 8-a-13A-4-05 3. x 2 + 5 x + ___ ___ A

5 25 B C 25 D 4 2 4

8-a-13A-4-05 4. x 2 + ___ x + A

49 x ___ 16

7 7 49 49 B C D 16 2 4 4

8-a-13A-4-05 5. ( 2 x + 5) = 0 2

5 5 5 5 2 A () B () C D () 2 2 2 2 5 8-a-13A-4-05 6. ( x 1) 2 5 = 11

A3 5 B-3 5 C-5 -3 D-5 3 8-a-13A-4-05 7. x 2 4 x + 4 = 0 A 2 B-2 C0 D2 8-a-13A-4-05 8. 2 x 2 + 5 x 7 = 0 A5 31 5 31 5 31 B C D 4 4 4

8-a-15A-4-05 9. 3x 2 5 x + k k A

5 25 5 5 B C D 12 3 4 12

8-a-16A-4-05 ( )10. x2 7 x ()2 7 (2 2

() 2 7

() 7 2

()7 2 8-a-15A-4-05 () 5

)11. x 5x () 10 ()

5 25 () 8-a-15A-4-05 2 4

(

)12. x x (A)a2 a2 a2 a (B) 2 (C) 2 (D) 2 2b b 4b 4b

2

a b

8-a-15A-4-05

(

)13. 546(x5) 0 (A) x3 3 (B) x9 9 (C) x4 14 () x8 2 8-a-15A-4-05

2

(

)14. 3x1 6 x (A) 1 6 (C)1 6 3

2

(B) 6

(D)

1 6 8-a-15A-4-05 32

(

)15. x x 4x100 (A)2 14 2 14 (B) 2 14 2 14 (C) 14 14 (D) 2 2 8-a-15A-4-05

(

)16. x 4x40 x2 (A) 4 \(B)8 (C)2 2 (D)2 8-a-15A-4-052

2

(

)17. x xaxb ab (B)4 14 2 (C) (D) 8-a-15A-4-05 9 3 32 2

2

2 3

(A)

4 3

(

)18. (A) 9x 24x4 (B) 3x x5 (C) x 4x4 (D) x 8x16 8-a-15 A-4-05 2 2

(

)19. x 6xm xm m 8-a-15A-4-05 (A) 2 (B) 3(C)2 (D)3

2

2

2

(

)20. x x 6x40 (A) 13 (B) 2 13 (C) 6 (D) 3

2

8-a-15A-4-05

(

)21. x 3x10 (A)x x 9 42

2

9 4

2

13 3 2 13 3 2 13 (B)x (C)x (D) 4 2 4 2 4

13 8-a-15A-4-05 42

(

)22. x0x 3x20 x (A) (B)3 17 3 17 3 17 (C) (D) 2 2 2

3 17 2

8-a-15A-4-05 ( )23. x 5xa 9x bx4 4a2b (A) 49 (B) 1 (C) 49 1 (D) 1242 2

8-a-15A-4-05 ( )24. 9x ax253xb b0 ab2 2

(A)

25 (B)25 (C)12 (D) 12 8-a-15A-4-05 ( )25. x 14x40 x 2

(A)4 14 (B)3

3 (C)9 9 (D) 10 4 8-a-15A-4-05 ( )26. x x 32x3690 x 8-a-15A-4-05 (A) 39 (B)40 (C)41 (D)42 ( )27. 4x 24x3 k axb k (A) 33 (B)33 (C) 3 (D)3 8-a-15A-4-05 ( xq )28. x 14xp (C) 1 (D) 0 8-a-15A-4-052 2 2 2 2

p q

(A) 14 (B) 7

1.D 11.D 2.D 12.C 3.B 13.D 4.A 14.D 5.B 6.B 7.D 8.D 9.A 10.A

15.A 16.C 17.B 25.D 26.C 27.B

18.D 19.D 20.B 28.B

21.C 22.C 23.C 24.A

1. 1+ 5 4 x 2 + kx 4 = 0 k 2

A1 B-1 C4 D-4 8-a-15A-4-05 2.

2 7 3x 2 4 x = k k 3

A0 B1 C-1 D3 8-a-15A-4-05 3. 1 5 2

A x 2 = 1 + 5 B x 2 x + 1 = 0 C x 2 x 1 = 0 D x 2 x = 5 8-a-15A-4-05 4. 3 7 A x 2 6 x + 2 = 0 B x 2 6 x = 0 C x 2 + 6 x 2 = 0 D x 2 + 6 x + 2 = 0 8-a-15A-4-05 5.

2 3 7

49 49 49 A x 2 + 28x = 1 B x 2 + 28 x = 1 C x 2 28x = 1D 49 x 2 28x = 1 8-a-15A-4-05 6. 2 x 2 + ax + b = 0 x =5 33 a+b 4

A B C D 8-a-15A-4-05 -11 -9 -6 0 7. x = 3 + 5 2 x 2 + ax + b = 0 a+b

A20 B12 C8 D4 8-a-15A-4-05 8. x =

2+ 7 ax 2 + bx 3 = 0 ab 5

A0 B5 C10 D15 8-a-15A-4-05 9. 3x 2 + 7 x 6 = 0 ( x + a) 2 = b b 19 121 11 AB C 2 D 8-a-15A-4-05 6 36 6 2 x 2 + 5 x + 7 = 0 2( x + a) 2 = b b. 10 A 25 81 31 B C-7 D 8 8 8

8-a-15A-4-05 11. (2 x + 1) 2 = 25 x x+2

1 1 A0 5 B 3 C1 2 D2 2 3 8-a-15A-4-05 ( )

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國中數學第三冊 評量

國中數學第三冊評量