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Perform the operation indicated. Simplify.

Question : Perform the operation indicated. Simplify. : 2152273

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Perform the operation indicated. Simplify.

1) (x/x + 6) + (6x + 2/6 + x)

A) (7x/x + 6)

B) (5x + 2/x + 6)

C) (x + 2/x + 6)

D) (7x + 2/x + 6)

2) (2/9 + x) + (x + 3/9 + x)

A) (x + 5/9 + x)

B) (x + 5/18 + x)

C) (5/18)

D) (5/9)

3) (2x/x - 5) - (x + 6/x - 5)

A) (x + 6/x - 5)

B) (3x + 6/x - 5)

C) (3x - 6/x - 5)

D) (x - 6/x - 5)

4) (4x - 6/5x + 9) + (x - 2/5x + 9)

A) (3x - 4/5x + 9)

B) (5x - 4/5x + 9)

C) (5x - 8/5x + 9)

D) (3x - 8/5x + 9)

5) (4x + 6/x + 4) - (2x + 5/x + 4)

A) (2x - 1/x + 4)

B) (2x + 11/x + 4)

C) (2x + 1/x + 4)

D) (2x - 11/x + 4)

6) (2x/x - 3) - (6/x - 3)

A) (2(x + 3)/x - 3)

B) (2/x - 3)

C) 1

D) 2

7) (6x2/x - 1) - (6x/x - 1)

A) 6

B) 6x

C) (6x(x + 1)/x - 1)

D) (6x/x - 1)

8) (x2 - 8x/x - 6) + (12/x - 6)

A) x - 2

B) x - 6

C) (x2 - 8x + 12/x - 6)

D) x + 2

Find the LCD. Do not combine fractions.

9) (2/3ab), (2/a2b2)

A) a2b2

B) 3ab

C) 4a2b2

D) 3a2b2

10) (7/6a2), (2/a3)

A) 6a2

B) 14a3

C) a3

D) 6a3

11) (5/8x2y5), (4/12x3y3)

A) 24x2y5

B) 24x3y5

C) 24x3y3

D) 24xy

12) (6/20xy3), (6/8x4y2)

A) 40xy3

B) 40x4y2

C) 40x4y3

D) 40xy

13) (9/2x - 6), (13/4x - 12)

A) (x - 3)

B) 4(x - 3)

C) 8(x - 3)

D) 2(x - 3)

14) (16/x + 8), (5/x2 - 64)

A) (x + 8)(x - 8)2

B) x + 8

C) (x + 8)(x2 - 64)

D) x2 - 64

15) (8/x2 - 81), (18/x - 9)

A) (x - 9)3

B) x - 9

C) x2 - 81

D) (x - 9)(x2 - 81)

16) (6/x), (8/x + 7)

A) 48

B) x + 7

C) x

D) x(x + 7)

17) (3/7x - 28), (4/x2 - 4x)

A) 7x(x - 4)

B) 7x - 4

C) 7x2 - 28

D) 7x2 - 4

18) (6x + 8/9x - 16), (2x/9x + 16)

A) (9x - 16)(9x + 16)

B) 2x(6x + 8)

C) 2x(6x + 8)(9x - 16)(9x + 16)

D) (9x - 16) or (9x + 16)

19) (1/x2 + 16x + 64), (1/x2 + 8x)

A) (x + 8)2

B) x(x + 8)2

C) x(x + 1)(x + 8)

D) x(x + 8)

20) (2/x2 - 8x + 16), (9/3x - 12)

A) 3(x + 4)(x - 4)

B) 3(x - 4)(x + 4)

C) 3(x - 4)(x - 4)

D) 3(x + 4)(x + 4)

21) (3/x2 + 4x), (4/x2 + 6x + 8)

A) (x + 2)2

B) x(x + 2)(x + 2)

C) x(x + 2)2

D) x(x + 4)(x + 2)

22) (9/x2 - 5x + 6), (7/x2 + 2x - 15)

A) (x - 2)(x - 3)

B) (x - 3)(x + 5)

C) (x - 2)(x - 3)(x + 5)

D) (x + 2)(x + 3)(x + 5)

Perform the operation indicated. Simplify.

23) (4/xy) + (5/x)

A) (4y + 5/xy)

B) (4 + 5y/xy)

C) (4 + 5x/xy)

D) (9/xy)

24) (x/5x - 9) - (9/10x - 18)

A) (10x - 90/2(5x - 9))

B) (2x - 9/2(5x - 9))

C) (2x - 9/5x - 9)

D) (x - 9/2(5x - 9))

25) (15/x - 8) + (x/x2 - 64)

A) (16x + 120/(x + 8)(x - 8))

B) (15x/(x + 8)(x - 8))

C) (16x - 120/(x + 8)(x - 8))

D) (15x + 120/(x + 8)(x - 8))

26) (2/y2 - 3y + 2) + (7/y - 1)

A) (9/(y - 2)(y - 1))

B) (7y - 12/(y - 2)(y - 1))

C) (7y + 12/(y + 2)(y - 1))

D) (y - 12/(y - 2)(y - 1))

27) (3/x + 2) - (5/x - 2)

A) (-2x - 16/(x + 2)(x - 2))

B) (-2/(x + 2)(x - 2))

C) (-2x + 16/(x + 2)(x - 2))

D) (-2x + 4/(x + 2)(x - 2))

28) (6/7x) + (7/8x)

A) (7/4x)

B) (13/15x)

C) (97/56x)

D) (97/56x2)

29) (5/x - 6) + (3/x)

A) (8x - 18/x(x - 6))

B) (18x - 8/x(6 - x))

C) (8x - 18/x(6 - x))

D) (18x - 8/x(x - 6))

30) (2/3xy) + (2/15yz)

A) (12/15xyz)

B) (2z + 2x/15xyz)

C) (2z + 10x/15xyz)

D) (10z + 2x/15xyz)

31) (2/x2 - 3x + 2) + (5/x2 - 1)

A) (7x - 8/(x - 1)(x - 2))

B) (7x - 8/(x - 1)(x + 1)(x - 2))

C) (8x - 7/(x - 1)(x + 1)(x - 2))

D) (20x - 8/(x - 1)(x + 1)(x - 2))

32) (x/x2 - 16) - (7/x2 + 5x + 4)

A) (x2 + 6x + 28/(x - 4)(x + 4)(x + 1))

B) (x2 - 6x + 28/(x - 4)(x + 4)(x + 1))

C) (x2 - 6x + 28/(x - 4)(x + 4))

D) (x2 - 6/(x - 4)(x + 4)(x + 1))

33) (x - 6/x2 + 2x - 3) + (2x - 3/x2 + 6x - 7)

A) (3x - 9/2x2 + 8x - 10)

B) 3x - 9

C) (3x2 + 4x - 51/(x - 1)(x + 3)(x + 7))

D) (3x2 + 4x - 51/(x + 1)(x - 3)(x - 7))

34) (x - 4/x2 + 13x + 40) + (4x + 7/x2 + 6x + 5)

A) (5x2 + 36x + 52/(x + 5)(x + 8)(x + 1))

B) (5x + 3/2x2 + 19x + 45)

C) (5x2 + 36x + 52/(x - 5)(x - 8)(x - 1))

D) 5x + 3

35) (x2 - 32/x2 + 5x - 24) + (8 - 3x/24 - 5x - x2)

A) ((x - 8)(x + 5)/(x + 8)(x - 3))

B) (x - 5/x2 + 5x - 24)

C) (x + 8/x - 3)

D) (x - 5/x - 3)

36) (6/4x - 11) - (24/11 - 4x)

A) - (18/4x - 11)

B) - (30/4x - 11)

C) (18/4x - 11)

D) (30/4x - 11)

37) (5 - x/x - 8) - (2x - 6/8 - x)

A) - (x + 11/x - 8)

B) - (x - 1/x - 8)

C) (x + 11/x - 8)

D) (x - 1/x - 8)

38) (x/x2 - 49) - (7/49 - x2)

A) - (1/x + 7)

B) (1/x - 7)

C) - (1/x - 7)

D) (1/x + 7)

39) (8y/x2 - y2) + (8x/y2 - x2)

A) - (8/x + y)

B) (8/x - y)

C) (y - x/x2 - y2)

D) (8/x + y)

40) (8x/x + 8) + (7x - 9/x + 8) - (4x/x + 8)

A) (11x - 9/3x + 24)

B) (19x - 9/x + 8)

C) (19x + 9/x - 8)

D) (11x - 9/x + 8)

41) (3x + 5/x + 2) - (9x + 8/x + 2) - (3x/x + 2)

A) (-15x + 13/x + 2)

B) (x - 3/x + 6)

C) (-9x - 3/x + 2)

D) (-9x - 3/3x + 6)

42) (20/x2 + 4x) + (8/x) + (5/x + 4)

A) (8/x)

B) (40/x)

C) (13/x)

D) (5/x)

43) (6x/x + 1) + (7/x - 1) - (12/x2 - 1)

A) (6x - 5/x + 1)

B) (x + 1/x - 1)

C) (6x - 5/x - 1)

D) (6x/x - 1)

44) (2ab/a2 - b2) - (b/a - b) + (8/2)

A) ((a - b)(4a + 5b)/a2 - b2)

B) (2ab - b + 4/a + b + 1)

C) (4a + 5b/a2 - b2)

D) (4a + 5b/a + b)

Solution
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