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Worksheets

Solving with Rationals

Total questions: 98

Worksheet time: 6hrs 13mins

Name
Class
Date
1.
Solve by cross-multiplying
a)
x = 6
b)
x = -6
c)
x = 6/7
d)
x = -6/7
2.
Solve by cross-multiplying.
a)
x = 2
b)
No Solution
c)
x = -10
d)
x = 10
3.
Solve by cross-multiplying.
a)
x = -1, 5
b)
No Solution
c)
x = -4, 5
d)
x= -4
4.
Identify the LCD.
a)
x2(x - 2)
b)
x(x - 2)
c)
x
d)
(x - 2)
5.
Identify the LCD.
a)
(x + 5)
b)
x2(x + 5)
c)
x
d)
x(x + 5)
6.
Solve by using the LCD.
a)
x = 4/3
b)
x = 2
c)
x = 3/4
d)
x = 2/3
7.
Solve by using the LCD.
a)
x = -2, 8
b)
x = 0, 4
c)
x = 2, -8
d)
x = 8
8.
Solve by using the LCD.
a)
x = 0, 5/2
b)
x = 5/2
c)
x = 0
d)
No Solution
9.
Solve by using the LCD.
a)
x = 1
b)
x = 2, 4
c)
x = 0, 5
d)
x = -5, -1
10.
Solve by using the LCD.
a)
x = 1
b)
x = -3
c)
x = 0 
d)
x = 3
11.
Solve for x
a)
6
b)
17/5
c)
19/2
d)
- 6
12.
Solve for v
a)
- 7/6
b)
- 9/5
c)
9/5
d)
-3
13.
Solve for x
a)
5
b)
4/5
c)
1
d)
- 4
14.
Solve for r
a)
5
b)
- 5, 4
c)
- 5
d)
5, 4
15.
Solve for x
a)
5/3, 1
b)
- 5, 1
c)
5, 2/3
d)
5, 1
16.
Solve for n
a)
- 2, - 1
b)
- 5, - 1
c)
- 2
d)
- 2, - 2/3
17.
Solve for x
a)
11
b)
5
c)
8
d)
7
18.
Solve for x
a)
A
b)
B
c)
C
d)
D
19.
Solve for c
a)
-3
b)
3
c)
4
d)
-4
20.
Solve for x
a)
a   x=1/2
b)
b   x=10
c)
c   x=4
d)
d   x=12
21.
Solve for x
a)
x = -3
b)
x = -3, 5
c)
x = 3, 5
d)
x = 5
22.
Solve for x
a)
x = 10
b)
x = -30/13
c)
x = 6
d)
no solution
23.
Solve!
a)
x = 2
b)
x = 6
c)
x = 4
d)
x = 8
24.
What is the least common multiple of  x2-16 and x2+4x-32?
a)
(x + 4)(x – 4)(x + 8)
b)
(x-4)2 (x+8)
c)
(x + 4)(x – 4)
d)
(x - 4)(x-4)2(x + 8)
25.
a)
x = -1
b)
x = 1
c)
x = -9
d)
x = 9
26.
Solve for x.
a)
2
b)
18/5
c)
26/5
d)
6
27.
Solve the equation for x.
a)
6
b)
12
c)
0
d)
3
28.
Solve 
a)
x = 0 , 4
b)
x = 1 , 3
c)
x = -4 , 0
d)
x = 5 , 2
29.
Solve!
a)
x = 5
b)
x = 4
c)
x = 5.5
d)
x = -4
30.
Solve :
a)
x = 6
b)
x = -6
c)
x = 6/7
d)
x = -6/7
31.
Solve the equation for x.
a)
7
b)
6
c)
14
d)
0
32.

Solve for x

a)

1/3

b)

-5.5

c)

5.5

d)

2.5

33.
a)
x = 2
b)
x = 3/4
c)
x = 4
d)
x = 1/2
34.
Solve the equation for x.
a)
6
b)
12
c)
0
d)
3
35.
Solve the equation for x.
a)
7
b)
6
c)
14
d)
0
36.
Solve by cross-multiplying.
a)
x = 2
b)
No Solution
c)
x = -10
d)
x = 10
37.
a)
x = 8.9
b)
x = 16
c)
x = 9
d)
x = 12
38.
a)
x = -1
b)
x = 1
c)
x = -9
d)
x = 9
39.
Solve!
a)
x = 2
b)
x = 6
c)
x = 4
d)
x = 8
40.
Solve for r
a)
5
b)
- 5, 4
c)
- 5
d)
5, 4
41.
Solve for x
a)
x = 10
b)
x = -30/13
c)
x = 6
d)
no solution
42.

Solve for x

a)

1/3

b)

-5.5

c)

5.5

d)

2.5

43.

Solve for x

a)

4

b)

2

c)

-2

d)

-4

44.

Solve.

a)

x = 5

b)

x = -3

c)

x = 3

d)

x = -5

45.

Solve.

a)

x = 4.5

b)

x = -4.5

c)

x = 3

d)

x = -3

46.
a)

3/5

b)

3/4

c)

1/4

d)

4/5

47.
a)

2

b)

1

c)

-1

d)

-4

48.
 A 555-mile, 5-hour plane trip was flown at two speeds. For the first part of the trip, the average speed was 105 mph. Then the tailwind picked up, and the remainder of the trip was flown at an average speed of 115 mph. For how long did the plane fly at each speed?
a)
2 hours at 105 mph
3 hours at 115 mph
b)
3 hours at 105 mph
2 hours at 115 mph
c)
1 hour at 105 mph
4 hours at 115 mph
d)
2.5 hours at 105 mph
2.5 hours at 115 mph
49.
Divide
a)
x+8/x+4
b)
x+4/x+8
c)
16/x-4
d)
x-4/x+8
50.
You have 2 machines that create boxes. Working alone, machine 1 can produce 1500 boxes in x hours. But when they work together, they can cover 1500 boxes in y hours. In terms of x and y, how many hours does it take the 2nd machine by itself to produce 1500 boxes?
a)
x/(x+y)
b)
y/(x+y)
c)
xy/(x+y)
d)
xy/(x-y)
51.
Lucy and Quinn have started a car washing business. Lucy can wash a car in 3 hours. Together, Lucy and Quinn can wash a car in 1 hour. How long does it take Quinn to wash a car by herself? 
a)
It takes Quinn 4 hours. 
b)
It takes Quinn 2 hours. 
c)
It takes Quinn 1.5 hours. 
d)
I don't know. It's too cold to wash cars! *DON'T PICK THIS!*
52.
Tim can paint the football field in 8 hours. JaQuii can paint the football field in 6 hours. Damien can paint the field in 4 hours. How long does it take them to paint the field together? 
a)
It will take them 24 hours. 
b)
It will take them 1.8 hours. 
c)
It will take them 11 hours. 
d)
It will take them 2.4 hours. 
53.

Bob can mow a yard in 5 hours and Jeff can mow the same lawn in 3 hours. Which equation could be used to solve an equation to find the time it would take to mow the yard if they both mowed the lawn at the same time.

a)

13+15+x=1\frac{1}{3}+\frac{1}{5}+x=1

b)

x5+13=1\frac{x}{5}+\frac{1}{3}=1

c)

15+x3=1\frac{1}{5}+\frac{x}{3}=1

d)

x3+x5=1\frac{x}{3}+\frac{x}{5}=1

54.

It takes Roger 2 hours to paint a room. It takes Erin 3 hours to paint the same size of room. Which equation could be used to solve to find the time it would take to paint the room if they painted together.

a)

13+12=6x\frac{1}{3}+\frac{1}{2}=6x

b)

x3+x2=6\frac{x}{3}+\frac{x}{2}=6

c)

x3+x2=1\frac{x}{3}+\frac{x}{2}=1

d)

x3+x2=6x\frac{x}{3}+\frac{x}{2}=6x

55.
Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take for them to mow the lawn together?
a)
48 minutes
b)
50 minutes
c)
24 minutes
d)
12 minutes
56.
Catherine can paint a house in 15 hours. Dan can paint a house in 30 hours. How long will it take them working together.
a)
20 hours
b)
10 hours
c)
22 hours
d)
17 hours
57.
Igor can do a job in 20 minutes. Fred can do the same job in 30 minutes. How long will the job take if they both work together?
a)
15 minutes
b)
22 minutes
c)
25 minutes
d)
12 minutes
58.

Ned made a trip to his cabin on the lake and back. The trip there took six hours and the trip back took four hours. What was Hank's average speed on the trip there if he averaged 30 km/h on the return trip?

a)

25 km/h

b)

20 km/h

c)

16 km/h

d)

10 km/hr

59.

A passenger plane made a trip to Las Vegas and back. On the trip there it flew 432 mph and on the return trip it went 480 mph. How long did the trip there take if the return trip took nine hours?

a)

10 hours

b)

5 hours

c)

15 hours

d)

20 hours

60.
About 13 out of 20 homes have a personal computer.  On a street with 60 homes, how many would you expect to have a personal computer?
a)
7 homes
b)
39 homes
c)
73 homes 
d)
40 homes
61.
The waiting time to ride a roller coaster is 20 minutes when 150 people are in line.  How long is the waiting time when 240 people are in line?
a)
90 min
b)
30 min
c)
32 min
d)
30 min
62.
Cookie Monster makes the perfect cookies. He uses 2 cups of chocolate chips for every 3 dozen cookies. If he makes 54 cookies, how many cups of chocolate chips does he need?
a)
3 cups
b)
16 cups
c)
32 cups
d)
48 cups
63.

Solve for x: 53−2x=8x\frac{5}{3}-\frac{2}{x}=\frac{8}{x}  

a)

22  

b)

185\frac{18}{5}  

c)

265\frac{26}{5}  

d)

66  

64.

Solve: 3x−5−20x2−25=2x+5\frac{3}{x-5}-\frac{20}{x^2-25}=\frac{2}{x+5}  

a)

x=−5x=-5  

b)

x=5x=5  

c)

5(x+5)(x−5)\frac{5}{\left(x+5\right)\left(x-5\right)}  

d)

No Solution

65.

Solve for x:  1x=15x−x−15x\frac{1}{x}=\frac{1}{5x}-\frac{x-1}{5x}

a)

x = 5

b)

x = -3

c)

x = 3

d)

x = -5

66.
State the domain restrictions. 
a)
x ≠ -2
b)
x ≠ 2, 1
c)
x ≠ 2, -1
d)
x ≠ -2, 2, 1
67.
Solve for r
a)
5
b)
- 5, 4
c)
- 5
d)
5, 4
68.
Solve and check for extraneous solutions
a)
x=5
b)
x= -5
c)
No Solution
69.
Solve and check for extraneous solutions
a)
x= - 3 &x= -8
b)
x= -3 & -8 is extraneous 
c)
No Solution
d)
x= -8 & -3 is extraneous 
70.
a)

A

b)

B

c)

C

d)

D

71.

To solve

x+12𝑥+2≤2\frac{x+12}{𝑥+2}≤2  , first, we transform the given inequality into its general form which is...

a)

x+12𝑥+2+2≤0\frac{x+12}{𝑥+2}+2≤0  

b)

x+12𝑥+2−2≤0\frac{x+12}{𝑥+2}-2≤0  

c)

2(x+12𝑥+2)≤02\left(\frac{x+12}{𝑥+2}\right)≤0  

d)

12(x+12𝑥+2)≤0\frac{1}{2}\left(\frac{x+12}{𝑥+2}\right)≤0  

72.

Based from

−x+8𝑥+2≤0\frac{-x+8}{𝑥+2}≤0  , what are the critical values of the given rational inequality?

a)

8 & 28\ \&\ 2  

b)

−8 & −2-8\ \&\ -2  

c)

−8 & 2-8\ \&\ 2  

d)

8 & −28\ \&\ -2  

73.
Solve
a)
A
b)
B
c)
C
d)
D
74.

Solve

a)

No Solution

b)

x = 6

c)

x = 7

d)

x = 5

75.

Simplify: 

3x10x2+75x2\frac{3x}{10x^2}+\frac{7}{5x^2}  

a)

23x3\frac{2}{3x^3}  

b)

3x+710x2\frac{3x+7}{10x^2}  

c)

1x2\frac{1}{x^2}  

d)

3x+1410x2\frac{3x+14}{10x^2}  

76.

Simplify:

5x−3x6x2\frac{5}{x}-\frac{3x}{6x^2}  

a)

−33x2x(6x2)\frac{-33x^2}{x\left(6x^2\right)}  

b)

30−3x6x\frac{30-3x}{6x}  

c)

30x−3x6x−6x2\frac{30x-3x}{6x-6x^2}  

d)

27x6x2\frac{27x}{6x^2}  

77.

Simplify:

3x−1+56x\frac{3}{x-1}+\frac{5}{6x}  

a)

23x−56x(x−1)\frac{23x-5}{6x\left(x-1\right)}  

b)

13x−56x(x−1)\frac{13x-5}{6x\left(x-1\right)}  

c)

13x−56x2\frac{13x-5}{6x^2}  

d)

17x−617x-6  

78.

Simplify:

2x5x−3x+7\frac{2x}{5x}-\frac{3}{x+7}  

a)

2x2−x5x(x+7)\frac{2x^2-x}{5x\left(x+7\right)}  

b)

7x−215x(x+7)\frac{7x-21}{5x\left(x+7\right)}  

c)

2x2+29x5x(x+7)\frac{2x^2+29x}{5x\left(x+7\right)}  

d)

2x2−14x 5x(x+7)\frac{2x^2-14x\ }{5x\left(x+7\right)}  

79.

Simplify:

4x2x+8−12x\frac{4x}{2x+8}-\frac{12}{x}  

a)

4x2+24x−96x(2x+8)\frac{4x^2+24x-96}{x\left(2x+8\right)}  

b)

4x2−24x+96x(2x+8)\frac{4x^2-24x+96}{x\left(2x+8\right)}  

c)

4x2−24x−96x(2x+8)\frac{4x^2-24x-96}{x\left(2x+8\right)}  

d)

4x2+24x+96x(2x+8)\frac{4x^2+24x+96}{x\left(2x+8\right)}  

80.

Simplify:

3x+4+2x−2\frac{3}{x+4}+\frac{2}{x-2}  

a)

5x+2(x+4)(x−2)\frac{5x+2}{\left(x+4\right)\left(x-2\right)}  

b)

3x−6(x−2)(x+4)\frac{3x-6}{\left(x-2\right)\left(x+4\right)}  

c)

5x−10(x−2)(x+4)\frac{5x-10}{\left(x-2\right)\left(x+4\right)}  

d)

6x+24(x−2)(x+4)\frac{6x+24}{\left(x-2\right)\left(x+4\right)}  

81.

Simplify:

5x2x−3−4x23x+1\frac{5x}{2x-3}-\frac{4x^2}{3x+1}  

a)

no solution

b)

−8x3+27x2+5x(2x−3)(3x+1)\frac{-8x^3+27x^2+5x}{\left(2x-3\right)\left(3x+1\right)}  

c)

−8x3+3x2+5x(2x−3)(3x+1)\frac{-8x^3+3x^2+5x}{\left(2x-3\right)\left(3x+1\right)}  

d)

7x2+17x(2x−3)(3x+1)\frac{7x^2+17x}{\left(2x-3\right)\left(3x+1\right)}  

82.

Simplify:

−3xx+5+72x−8\frac{-3x}{x+5}+\frac{7}{2x-8}  

a)

−6x2+31x+35(x+5)(2x−8)\frac{-6x^2+31x+35}{\left(x+5\right)\left(2x-8\right)}  

b)

−6x2−17x+35(x+5)(2x−8)\frac{-6x^2-17x+35}{\left(x+5\right)\left(2x-8\right)}  

c)

25x+35(x+5)(2x−8)\frac{25x+35}{\left(x+5\right)\left(2x-8\right)}  

d)

6x2−17x+35(x+5)(2x−8)\frac{6x^2-17x+35}{\left(x+5\right)\left(2x-8\right)}  

83.

Simplify: 

8xx−4−113x+1\frac{8x}{x-4}-\frac{11}{3x+1}  

a)

24x2−3x−44(3x+1)(x−4)\frac{24x^2-3x-44}{\left(3x+1\right)\left(x-4\right)}  

b)

24x2+19x−44(3x+1)(x−4)\frac{24x^2+19x-44}{\left(3x+1\right)\left(x-4\right)}  

c)

24x2−3x+44(3x+1)(x−4)\frac{24x^2-3x+44}{\left(3x+1\right)\left(x-4\right)}  

d)

13x2+52x(3x+1)(x−4)\frac{13x^2+52x}{\left(3x+1\right)\left(x-4\right)}  

84.

Simplify: 

6x2−5x8x\frac{6x}{2}-\frac{5x}{8x}  

a)

48x2−5x2(8x)\frac{48x^2-5x}{2\left(8x\right)}  

b)

24x2−5x8x\frac{24x^2-5x}{8x}  

c)

19x8x\frac{19x}{8x}  

d)

24x2−10x8x\frac{24x^2-10x}{8x}  

85.

Simplify: 

52x+8x12x\frac{5}{2x}+\frac{8x}{12x}  

a)

38x12x\frac{38x}{12x}  

b)

8x+3012x\frac{8x+30}{12x}  

c)

25+8x12x\frac{25+8x}{12x}  

d)

76x24x2\frac{76x}{24x^2}  

86.

Simplify:
4x3x2+2x+5\frac{4x}{3x^2}+\frac{2}{x+5}  

a)

10x2+45x3x2(x+5)\frac{10x^2+45x}{3x^2\left(x+5\right)}  

b)

6x2+24x3x2(x+5)\frac{6x^2+24x}{3x^2\left(x+5\right)}  

c)

10x2+20x3x2(x+5)\frac{10x^2+20x}{3x^2\left(x+5\right)}  

d)

4x2+26x3x2(x+5)\frac{4x^2+26x}{3x^2\left(x+5\right)}  

87.

Simplify: 

62x+3−8x−1\frac{6}{2x+3}-\frac{8}{x-1}  

a)

−10x+18(x−1)(2x+3)\frac{-10x+18}{\left(x-1\right)\left(2x+3\right)}  

b)

−10x−30(x−1)(2x+3)\frac{-10x-30}{\left(x-1\right)\left(2x+3\right)}  

c)

22x+18(x−1)(2x+3)\frac{22x+18}{\left(x-1\right)\left(2x+3\right)}  

d)

22x+30(x−1)(2x+3)\frac{22x+30}{\left(x-1\right)\left(2x+3\right)}  

88.
Simplify. 
a)
(m+6)/(m-3)
b)
7/(m-3)
c)
7(m+6)
d)
(m-3)
89.
Simplify. 
a)
(x+6)/(x+4)
b)
(x+6)(x+4)
c)
(x+6)
d)
(x+6)/(x-5)
90.
SIMPLIFY
a)
A
b)
B
c)
C
d)
D
91.

Simplify (Add & Divide)

12x+23xx−1x−3\frac{\frac{1}{2x}+\frac{2}{3x}}{\frac{x-1}{x-3}}  

a)

7x−216x2−6x , x≠0, 1, 3\frac{7x-21}{6x^2-6x}\ ,\ x\ne0,\ 1,\ 3  

b)

A 7x−216x2−6x , x≠1, 3\frac{7x-21}{6x^2-6x}\ ,\ x\ne1,\ 3  

c)

7x2−21x6x3−6x2 , x≠0 , 1, 3\frac{7x^2-21x}{6x^3-6x^2}\ ,\ x\ne0\ ,\ 1,\ 3  

d)

7x2−21x6x3−6x2 , x≠1, 3\frac{7x^2-21x}{6x^3-6x^2}\ ,\ x\ne1,\ 3  

92.

Subtract

6x2+4x−32−x−5x−4\frac{6}{x^2+4x-32}-\frac{x-5}{x-4}  

a)

−x2+3x−34(x+8)(x−4) , x≠−8, 4\frac{-x^2+3x-34}{\left(x+8\right)\left(x-4\right)}\ ,\ x\ne-8,\ 4  

b)

−x2+3x−34(x+8)(x−4) , x≠−4, 8\frac{-x^2+3x-34}{\left(x+8\right)\left(x-4\right)}\ ,\ x\ne-4,\ 8  

c)

−x2−3x+46(x+8)(x−4) , x≠−8, 4\frac{-x^2-3x+46}{\left(x+8\right)\left(x-4\right)}\ ,\ x\ne-8,\ 4  

d)

−x2−3x+46(x+8)(x−4) , x≠−4, 8\frac{-x^2-3x+46}{\left(x+8\right)\left(x-4\right)}\ ,\ x\ne-4,\ 8  

93.

Add

7xx2−5x+x2x−5\frac{7x}{x^2-5x}+\frac{x^2}{x-5}  

a)

x2+7x−5 , x≠5\frac{x^2+7}{x-5}\ ,\ x\ne5  

b)

x2+7x−5 , x≠0, 5\frac{x^2+7}{x-5}\ ,\ x\ne0,\ 5  

c)

x4−5x3+7x2−35x(x2−5x)(x−5) , x≠5\frac{x^4-5x^3+7x^2-35x}{\left(x^2-5x\right)\left(x-5\right)}\ ,\ x\ne5  

d)

x4−5x3+7x2−35x(x2−5x)(x−5) , x≠0, 5\frac{x^4-5x^3+7x^2-35x}{\left(x^2-5x\right)\left(x-5\right)}\ ,\ x\ne0,\ 5  

94.

Add

2x2−x−20+3x2+7x+12\frac{2}{x^2-x-20}+\frac{3}{x^2+7x+12}  

a)

5x−9(x−5)(x+4)(x+3) , x≠−5, 3, 4\frac{5x-9}{\left(x-5\right)\left(x+4\right)\left(x+3\right)}\ ,\ x\ne-5,\ 3,\ 4  

b)

5x−11(x−5)(x+4)(x+3) , x≠−4, −3, 5\frac{5x-11}{\left(x-5\right)\left(x+4\right)\left(x+3\right)}\ ,\ x\ne-4,\ -3,\ 5  

c)

5x−11(x−5)(x+4)(x+3) , x≠−5, 3, 4\frac{5x-11}{\left(x-5\right)\left(x+4\right)\left(x+3\right)}\ ,\ x\ne-5,\ 3,\ 4  

d)

5x−9(x−5)(x+4)(x+3) , x≠−4, −3, 5\frac{5x-9}{\left(x-5\right)\left(x+4\right)\left(x+3\right)}\ ,\ x\ne-4,\ -3,\ 5  

95.

Add

2xx2−36+x+4x+6\frac{2x}{x^2-36}+\frac{x+4}{x+6}  

a)

x2−24(x+6)(x−6) , x≠±6\frac{x^2-24}{\left(x+6\right)\left(x-6\right)}\ ,\ x\ne\pm6  

b)

x3+6x2−24x(x2−36)(x+6) x≠−6, 36\frac{x^3+6x^2-24x}{\left(x^2-36\right)\left(x+6\right)}\ x\ne-6,\ 36  

c)

x2+2x−24(x+6)(x−6) , x≠±6\frac{x^2+2x-24}{\left(x+6\right)\left(x-6\right)}\ ,\ x\ne\pm6  

d)

x2+12x+24(x+6)(x−6) , x≠±6\frac{x^2+12x+24}{\left(x+6\right)\left(x-6\right)}\ ,\ x\ne\pm6  

96.

Add

3x−2x+2+2x4x−1\frac{3x-2}{x+2}+\frac{2x}{4x-1}  

a)

14x2−7x+2(x+2)(4x−1) , x≠−2, 14\frac{14x^2-7x+2}{\left(x+2\right)\left(4x-1\right)}\ ,\ x\ne-2,\ \frac{1}{4}  

b)

14x2−9x−2(x+2)(4x−1) , x≠−2, 1\frac{14x^2-9x-2}{\left(x+2\right)\left(4x-1\right)}\ ,\ x\ne-2,\ 1  

c)

12x2−7x+2(x+2)(4x−1) , x≠−2, 14\frac{12x^2-7x+2}{\left(x+2\right)\left(4x-1\right)}\ ,\ x\ne-2,\ \frac{1}{4}  

d)

14x2−7x+2(x+2)(4x−1) , x≠−14, 2\frac{14x^2-7x+2}{\left(x+2\right)\left(4x-1\right)}\ ,\ x\ne-\frac{1}{4},\ 2  

97.

Subtract

x2−32x+7−2x−52x+7\frac{x^2-3}{2x+7}-\frac{2x-5}{2x+7}  

a)

x2−2x−82x+7 , x≠−72\frac{x^2-2x-8}{2x+7}\ ,\ x\ne-\frac{7}{2}

b)

x2−2x−8 , x≠0x^2-2x-8\ ,\ x\ne0  

c)

x2−2x+2 , x≠0x^2-2x+2\ ,\ x\ne0  

d)

x2−2x+22x+7 ,  x≠−72\frac{x^2-2x+2}{2x+7}\ ,\ \ x\ne-\frac{7}{2}  

98.

Add

2x−34x−7+2x−34x−7\frac{2x-3}{4x-7}+\frac{2x-3}{4x-7}  

a)

4x−64x−7 , x≠−74\frac{4x-6}{4x-7}\ ,\ x\ne-\frac{7}{4}  

b)

4x2−6x+94x−7 ,  x≠74\frac{4x^2-6x+9}{4x-7}\ ,\ \ x\ne\frac{7}{4}  

c)

4x−64x−7  , x≠74\frac{4x-6}{4x-7\ }\ ,\ x\ne\frac{7}{4}

d)

An 4x−68x−14, x≠148\frac{4x-6}{8x-14},\ x\ne\frac{14}{8}  swer 4

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