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Perform the indicated operation. Simplify if possible. (72/9x) + (49/7x) A) (15/2x) B) (15/x)

Question : Perform the indicated operation. Simplify if possible. (72/9x) + (49/7x) A) (15/2x) B) (15/x) : 2151524

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

Perform the indicated operation. Simplify if possible.

1) (72/9x) + (49/7x)

A) (15/2x)

B) (15/x)

C) (945/63x)

D) (15/x2)

2) (7/8x) + (1/3x)

A) (29/24x2)

B) (29/24x)

C) (59/24x)

D) (8/11x)

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

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

B) (-7/6 - 3x)

C) (5x - 4/6x)

D) (-5x - 4/6x)

4) (3a/b) + (3b/2)

A) 6a + 3b2

B) (6a + 3b/2b)

C) (3a + 3b/2b)

D) (6a + 3b2/2b)

5) (2/x2) - (6/x)

A) (2 + 6x/x2)

B) (2 - 6x/x2)

C) (2x + 6/x2)

D) (6x - 2/x)

6) - (8/49) - (9/7x)

A) (8x - 63/49x)

B) (-8x + 63/49x)

C) (-17/49 - 7x)

D) (-8x - 63/49x)

7) (2/x + 2) + (3/9x + 18)

A) (5/9(x + 2))

B) (7/3(x + 2)2)

C) (29/9(x + 2))

D) (7/3(x + 2))

8) (14/5x - 15) + (x/x2 - 9)

A) (x + 14/5(x + 3)(x - 3))

B) (19x/(x + 3)(x - 3))

C) (15x + 42/(x + 3)(x - 3))

D) (19x + 42/5(x + 3)(x - 3))

9) (4/x) + (6/x - 7)

A) (10x - 28/x(7 - x))

B) (28x - 10/x(x - 7))

C) (10x - 28/x(x - 7))

D) (28x - 10/x(7 - x))

10) (4/x + 5) - (2/x - 5)

A) (2/(x + 5)(x - 5))

B) (2x - 10/(x + 5)(x - 5))

C) (2x - 30/(x + 5)(x - 5))

D) (2x + 30/(x + 5)(x - 5))

11) (6/x2) - (x/5x + 1)

A) (30x3 + 6x2/x2(5x + 1))

B) (6 + 30x - x3/x2(5x + 1))

C) (6 + 30x - x2/x(5x + 1))

D) (6 + 30x - x2/x2(5x + 1))

12) (x/3x - 7) - (7/27x - 63)

A) (9x - 7/3x - 7)

B) (9x - 7/9(3x - 7))

C) (27x - 189/9(3x - 7))

D) (x - 7/9(3x - 7))

13) (7/x - 3) + (25/3 - x)

A) (18/x - 3)

B) (32/x - 3)

C) - (18/x - 3)

D) - (32/x - 3)

14) (4/x - 3) + (4/3 - x)

A) - (8/x - 3)

B) (8/x - 3)

C) 0

D) (4/x - 3)

15) (2/x2 - 64) - (14/64 - x2)

A) - (12/x2 - 64)

B) (12/x2 - 64)

C) (16/x2 - 64)

D) - (16/x2 - 64)

16) (6/49x2 - 1) + (8/1 - 49x2)

A) (14/49x2 - 1)

B) - (2/49x2 - 1)

C) - (14/49x2 - 1)

D) (2/49x2 - 1)

17) (x/x2 - 121) - (11/121 - x2)

A) (1/x + 11)

B) (1/x - 11)

C) - (1/x - 11)

D) - (1/x + 11)

18) (11/2x - 11) - (17/11 - 2x)

A) - (28/2x - 11)

B) (6/2x - 11)

C) - (6/2x - 11)

D) (28/2x - 11)

19) (7/x) - 2

A) (7x - 2/x)

B) (7 - 2x/x)

C) 7x - 2

D) 7 - 2x

20) (7/x8) - 10x

A) (10x9 - 7/x8)

B) (7 - 10x/x8)

C) (7 - 10x9/x8)

D) (7 - 10x7/x8)

21) (3/x + 6) + 9

A) (9x + 72/x + 6)

B) (12/x + 6)

C) (9x + 57/x + 6)

D) (9x + 51/x + 6)

22) (9x - 8/x + 1) + 1

A) (10x - 7/x + 1)

B) (9x + 7/x + 1)

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

D) (9x - 7/x + 1)

23) (8 - x/x - 3) - (2x + 1/3 - x)

A) - (x + 7/x - 3)

B) - (x + 9/x - 3)

C) (x + 7/x - 3)

D) (x + 9/x - 3)

24) (4x - 7/x) + (-8x - 2/2x)

A) (0x - 16/2x)

B) (16x - 16/2x)

C) (0x + 12/2x)

D) (0x - 16/2x2)

25) (3y/x2 - y2) + (3x/y2 - x2)

A) (3/x - y)

B) (y - x/x2 - y2)

C) (3/x + y)

D) - (3/x + y)

26) (x2 + 14/x2 + 4x - 12) + (2 - 8x/12 - 4x - x2)

A) (x + 6/x - 2)

B) (x + 2/x2 + 4x - 12)

C) ((x - 6)(x - 2)/(x + 6)(x - 2))

D) (x + 2/x - 2)

27) (x + 5/x2 + 5x - 14) + (5x + 8/x2 + 11x + 28)

A) (6x2 + 7x + 4/(x + 7)(x - 2)(x + 4))

B) 6x + 13

C) (6x2 + 7x + 4/(x - 7)(x + 2)(x - 4))

D) (6x + 13/2x2 + 16x + 14)

28) (3/y2 - 3y + 2) + (7/y2 - 1)

A) (11y - 10/(y - 1)(y + 1)(y - 2))

B) (10y - 11/(y - 1)(y - 2))

C) (10y - 11/(y - 1)(y + 1)(y - 2))

D) (42y - 11/(y - 1)(y + 1)(y - 2))

29) (x/x2 - 16) - (5/x2 + 5x + 4)

A) (x2 - 4x + 20/(x - 4)(x + 4)(x + 1))

B) (x2 - 4x + 20/(x - 4)(x + 4))

C) (x2 + 4x + 20/(x - 4)(x + 4)(x + 1))

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

30) (m + 8/m2 + 4m - 5) + (3m + 2/m2 + 13m + 40)

A) (4m2 + 15m + 62/(m - 5)(m + 1)(m - 8))

B) (4m2 + 15m + 62/(m + 5)(m - 1)(m + 8))

C) (4m + 10/2m2 + 17m + 35)

D) 4m + 10

31) (x + 2/x2 + 13x + 42) + (5x + 3/x2 + 10x + 24)

A) (6x2 + 44x + 29/(x - 6)(x - 7)(x - 4))

B) 6x + 5

C) (6x + 5/2x2 + 23x + 66)

D) (6x2 + 44x + 29/(x + 6)(x + 7)(x + 4))

32) (4/x2 - 3x + 2) + (7/x2 - 1)

A) (56x - 10/(x - 1)(x + 1)(x - 2))

B) (11x - 10/(x - 1)(x - 2))

C) (10x - 11/(x - 1)(x + 1)(x - 2))

D) (11x - 10/(x - 1)(x + 1)(x - 2))

33) (x2 + x/3)(9/x + 1)

A) (3x2 + 3x/x + 1)

B) 3x

C) 3x2

D) (x/3)

34) (5m/m - 6) - (30/m - 6)

A) (5(m + 6)/m - 6)

B) 0

C) (5/m - 6)

D) 5

35) (6x - 6/5) ÷ (2x - 2/55)

A) (12(x - 1)2/275)

B) (11(6x - 6)/2x - 2)

C) (1/33)

D) 33

36) (3/x2 - 3x + 2) + (7/x2 - 1)

A) (10x - 11/(x - 1)(x - 2))

B) (11x - 10/(x - 1)(x + 1)(x - 2))

C) (42x - 11/(x - 1)(x + 1)(x - 2))

D) (10x - 11/(x - 1)(x + 1)(x - 2))

Perform the indicated operations. Simplify if possible.

37) (x/x2 - 25) + (5/x + 5) - (6/x)

A) (-25(x - 6)/x(x + 5)(x - 5))

B) (6x2 - 25x + 150/x(x + 5)(x - 5))

C) (25(x + 6)/x(x + 5)(x - 5))

D) (25(x - 6)/(x + 5)(x - 5))

38) (8/x2 + 4x) + (3/x) + (2/x + 4)

A) (2/x)

B) (5/x)

C) (3/x)

D) (6/x)

39) (3x/x + 1) + (4/x - 1) - (6/x2 - 1)

A) (3x/x - 1)

B) (x + 1/x - 1)

C) (3x - 2/x - 1)

D) (3x - 2/x + 1)

40) (3x/x2- 5x - 36) - (x - 1/x2- 16) + (1/x2 - 13x + 36)

A) (2x - 1/(x - 9)(x + 4))

B) (2x2- x - 5/(x - 9)(x + 4)(x - 4))

C) (2x2 - 21x + 13/(x - 9)(x + 4)(x - 4))

D) (2x - 1/(x - 9)(x - 4))

Solve.

41) A board of length (2/x + 4) inches was cut into two pieces. If one piece is (5/x - 4) inches, express the length of the other board as a rational expression.

A) (-3x - 28/(x + 4)(x - 4)) in.

B) (-3x + 28/(x + 4)(x - 4)) in.

C) (-3x + 12/(x + 4)(x - 4)) in.

D) (-3/(x + 4)(x - 4)) in.

42) The length of the rectangle is (7/x - 4) feet, while its width is (5/x) feet. Find its perimeter.

A) (24x - 40/x(x - 4)) ft

B) (12x - 20/x(x - 4)) ft

C) (12x - 20/x(4 - x)) ft

D) (24x - 40/x(4 - x)) ft

43) Two angles are said to be complementary if their sum is 90°. If one angle measures (33/x) degrees, find the measure of its complement.

A) ((90x - 57/x))° is over

B) ((90x - 33/x))° is over

C) 57°

D) 33°

44) Two angles are said to be supplementary if their sum is 180°. If one angle measures (x - 3/x) degrees, find the measure of its supplement.

A) ((179x - 3/x))° is over

B) ((180x + 3/x))° is over

C) ((180x - 3/x))° is over

D) ((179x + 3/x))° is over

Solution
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