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Worksheets

Review of Rational Expressions and equations

Total questions: 101

Worksheet time: 5hrs 3mins

Name
Class
Date
1.

Simplify:
x2+10x+24x2x20\frac{x^2+10x+24}{x^2-x-20}  


a)

x+6x+4\frac{x+6}{x+4}  

b)

(x+6)(x+4)\left(x+6\right)\left(x+4\right)  

c)

x+6x+6  

d)

x+6x5\frac{x+6}{x-5}  

2.

(x+9)(x+8)8(x1)(x+8)(x1)\frac{\left(x+9\right)\left(x+8\right)}{8}\cdot\frac{\left(x-1\right)}{\left(x+8\right)\left(x-1\right)}  

a)

(x+9)8\frac{\left(x+9\right)}{8}   

b)

(x1)8\frac{\left(x-1\right)}{8}  

c)

18\frac{1}{8}  

d)

  (x+9)(x+8)8\frac{\left(x+9\right)\left(x+8\right)}{8}  

3.

x2x6x3x+9x+2\frac{x^2-x-6}{x-3}\cdot\frac{x+9}{x+2}  

a)

x+9x+9  

b)

x3x2\frac{x-3}{x-2}  

c)

x+9x+2\frac{x+9}{x+2}  

d)

x3x-3  

4.

Multiply and Simplify:


x+34x+2x2+4x+3\frac{x+3}{4}\cdot\frac{x+2}{x^2+4x+3}  

a)

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

b)

x+24(x+1)\frac{x+2}{4\left(x+1\right)}  

c)

x+24(x+3)\frac{x+2}{4\left(x+3\right)}  

d)

4(x+1)(x+2)\frac{4\left(x+1\right)}{\left(x+2\right)}  

5.

Multiply & Simplify:
x39xx2+10x+21x2+7xx2+5x24\frac{x^3-9x}{x^2+10x+21}\cdot\frac{x^2+7x}{x^2+5x-24}  


a)

2xx+8\frac{2x}{x+8}  

b)

x2x+8\frac{x^2}{x+8}  

c)

xx+4\frac{x}{x+4}  

d)

x2(x9)x+8\frac{x^2\left(x-9\right)}{x+8}  

6.

Simplify:
a87(a+2)7(a+2)a+2\frac{a-8}{7\left(a+2\right)}\cdot\frac{7\left(a+2\right)}{a+2}  

a)

7(a+2)a+2\frac{7\left(a+2\right)}{a+2}  

b)

a8a+2\frac{a-8}{a+2}  

c)

a+27\frac{a+2}{7}  

d)

a87\frac{a-8}{7}  

7.

Simplify:
x+9x281\frac{x+9}{x^2-81}  


a)

x9x+9\frac{x-9}{x+9}  

b)

1x9\frac{1}{x-9}  

c)

x+9x+9  

d)

1x+9\frac{1}{x+9}  

8.

Simplify:
a2+3a+2a+2a9a+1\frac{a^2+3a+2}{a+2}\cdot\frac{a-9}{a+1}  

a)

a+73\frac{a+7}{3}  

b)

a9a-9  

c)

a+10(a7)(a5)\frac{a+10}{\left(a-7\right)\left(a-5\right)}  

d)

55  

9.

Multiply:
2x+16x2+3x40x211x+30x214x+48\frac{2x+16}{x^2+3x-40}\cdot\frac{x^2-11x+30}{x^2-14x+48}  

a)

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

b)

2x8\frac{2}{x-8}  

c)

x2x-2  

d)

6x2(x4)6x^2\left(x-4\right)  

10.

8x25x+50x+10\frac{8}{x-2}\cdot\frac{5x+50}{x+10}  

a)

x+4x+4  

b)

x4x-4  

c)

x+45\frac{x+4}{5}  

d)

40x2\frac{40}{x-2}  

11.

10xx8×6x(x8)6x\frac{10x}{x-8}\times\frac{6x\left(x-8\right)}{6x}  

a)

5x3\frac{5x}{3}   

b)

10xx8\frac{10x}{x-8}  

c)

10x

d)

6x(x8)6x\frac{6x\left(x-8\right)}{6x}  

12.

Multiply and Simplify 

x+34x+2x2+4x+3\frac{x+3}{4}\cdot\frac{x+2}{x^2+4x+3}  



a)

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

b)

x+24(x+1)\frac{x+2}{4\left(x+1\right)}  

c)

x+24(x+3)\frac{x+2}{4\left(x+3\right)}  

d)

4(x+1)x+2\frac{4\left(x+1\right)}{x+2}  

13.

Multiple the expressions

4p36p7p49\frac{4p^3}{6p}\cdot\frac{7p^4}{9}  


a)

28p754p\frac{28p^7}{54p}  

b)

11p1254p\frac{11p^{12}}{54p}  

c)

14p1127\frac{14p^{11}}{27}  

d)

14p627\frac{14p^6}{27}  

14.

Multiply the expressions

(n1)(n5)2(n+3)2(n+3)n5\frac{\left(n-1\right)\left(n-5\right)}{2\left(n+3\right)}\cdot\frac{2\left(n+3\right)}{n-5}  



a)

n1n-1  

b)

2(n1)n+3\frac{2\left(n-1\right)}{n+3}  

c)

2(n1)2\left(n-1\right)  

d)

11  

15.

Multiply the expression

r87(r+2)7(r+2)r+2\frac{r-8}{7\left(r+2\right)}\cdot\frac{7\left(r+2\right)}{r+2}  

a)

7(r2)r+2\frac{7\left(r-2\right)}{r+2}  

b)

r8r+2\frac{r-8}{r+2}  

c)

r+27\frac{r+2}{7}  

d)

r87\frac{r-8}{7}  

16.

10xx8×6x(x8)6x\frac{10x}{x-8}\times\frac{6x\left(x-8\right)}{6x}  

a)

5x3\frac{5x}{3}   

b)

10xx8\frac{10x}{x-8}  

c)

10x

d)

6x(x8)6x\frac{6x\left(x-8\right)}{6x}  

17.

Multiply and Simplify 

x+34x+2x2+4x+3\frac{x+3}{4}\cdot\frac{x+2}{x^2+4x+3}  



a)

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

b)

x+24(x+1)\frac{x+2}{4\left(x+1\right)}  

c)

x+24(x+3)\frac{x+2}{4\left(x+3\right)}  

d)

4(x+1)x+2\frac{4\left(x+1\right)}{x+2}  

18.
a)

10 / 14a4

b)

21 / 49a4

c)

3 / a4

d)

3 / 7a4

19.
a)

5x / 3

b)

10x / (x - 8)

c)

10x

d)

6x(x - 8) / 6x

20.
a)

(x + 9)

b)

(x - 3) / (x + 2)

c)

(x + 9) / (x + 2)

d)

(x - 3)

21.

Multiply and Simplify

a)

4(x+3)/(x+2),

b)

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

c)

(x+2)/4(x+3),

d)

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

22.

Multiply the Rational Expression

a)

A

b)

B

c)

C

d)

D

23.

Multiply the Rational Expression

a)

A.

b)

B.

c)

C.

d)

D.

24.
a)

1 / 5p

b)

12 / 50p

c)

2 / 10p

d)

8 / 16p

25.
a)

1 / 5p

b)

12 / 50p

c)

2 / 10p

d)

8 / 16p

26.

Simplify:
x2+10x+24x2x20\frac{x^2+10x+24}{x^2-x-20}  


a)

x+6x+4\frac{x+6}{x+4}  

b)

(x+6)(x+4)\left(x+6\right)\left(x+4\right)  

c)

x+6x+6  

d)

x+6x5\frac{x+6}{x-5}  

27.

(x+9)(x+8)8(x1)(x+8)(x1)\frac{\left(x+9\right)\left(x+8\right)}{8}\cdot\frac{\left(x-1\right)}{\left(x+8\right)\left(x-1\right)}  

a)

(x+9)8\frac{\left(x+9\right)}{8}   

b)

(x1)8\frac{\left(x-1\right)}{8}  

c)

18\frac{1}{8}  

d)

  (x+9)(x+8)8\frac{\left(x+9\right)\left(x+8\right)}{8}  

28.

x2x6x3x+9x+2\frac{x^2-x-6}{x-3}\cdot\frac{x+9}{x+2}  

a)

x+9x+9  

b)

x3x2\frac{x-3}{x-2}  

c)

x+9x+2\frac{x+9}{x+2}  

d)

x3x-3  

29.

Multiply and Simplify:


x+34x+2x2+4x+3\frac{x+3}{4}\cdot\frac{x+2}{x^2+4x+3}  

a)

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

b)

x+24(x+1)\frac{x+2}{4\left(x+1\right)}  

c)

x+24(x+3)\frac{x+2}{4\left(x+3\right)}  

d)

4(x+1)(x+2)\frac{4\left(x+1\right)}{\left(x+2\right)}  

30.

Multiply & Simplify:
x39xx2+10x+21x2+7xx2+5x24\frac{x^3-9x}{x^2+10x+21}\cdot\frac{x^2+7x}{x^2+5x-24}  


a)

2xx+8\frac{2x}{x+8}  

b)

x2x+8\frac{x^2}{x+8}  

c)

xx+4\frac{x}{x+4}  

d)

x2(x9)x+8\frac{x^2\left(x-9\right)}{x+8}  

31.

Simplify:
a87(a+2)7(a+2)a+2\frac{a-8}{7\left(a+2\right)}\cdot\frac{7\left(a+2\right)}{a+2}  

a)

7(a+2)a+2\frac{7\left(a+2\right)}{a+2}  

b)

a8a+2\frac{a-8}{a+2}  

c)

a+27\frac{a+2}{7}  

d)

a87\frac{a-8}{7}  

32.

Simplify:
x+9x281\frac{x+9}{x^2-81}  


a)

x9x+9\frac{x-9}{x+9}  

b)

1x9\frac{1}{x-9}  

c)

x+9x+9  

d)

1x+9\frac{1}{x+9}  

33.

Simplify:
a2+3a+2a+2a9a+1\frac{a^2+3a+2}{a+2}\cdot\frac{a-9}{a+1}  

a)

a+73\frac{a+7}{3}  

b)

a9a-9  

c)

a+10(a7)(a5)\frac{a+10}{\left(a-7\right)\left(a-5\right)}  

d)

55  

34.

Multiply:
2x+16x2+3x40x211x+30x214x+48\frac{2x+16}{x^2+3x-40}\cdot\frac{x^2-11x+30}{x^2-14x+48}  

a)

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

b)

2x8\frac{2}{x-8}  

c)

x2x-2  

d)

6x2(x4)6x^2\left(x-4\right)  

35.

Simplify: 30x5y86x5y9Simplify:\ \frac{-30x^5y^8}{6x^5y^9}  

a)

15y\frac{1}{5y}  

b)

5y-5y  

c)

5x10y17-5x^{10}y^{17}  

d)

5y\frac{-5}{y}  

36.

Simplify:  x2+6xx2+3x18Simplify:\ \ \frac{x^2+6x}{x^2+3x-18}  

a)

xx+3\frac{x}{x+3}  

b)

xx3\frac{x}{x-3}  

c)

x+6x3\frac{x+6}{x-3}  

d)

xx+6\frac{x}{x+6}  

37.

Simplify:  x2+7x+12x2+4xSimplify:\ \ \frac{x^2+7x+12}{x^2+4x}  

a)

x+3x+4\frac{x+3}{x+4}  

b)

x3x\frac{x-3}{x}  

c)

x+3x\frac{x+3}{x}  

d)

x+3x2\frac{x+3}{x^2}  

38.

Identify all the values for which  2x24xx2+3x10\ \frac{2x^2-4x}{x^2+3x-10}  is undefined.

a)

-2 and 5

b)

2 and -5

c)

0, 2, and -5

d)

0, -2, and 5

39.

Simplify:  4p36p7p49\frac{4p^3}{6p}\cdot\frac{7p^4}{9}  

a)

28p754p\frac{28p^7}{54p}  

b)

11p1254p\frac{11p^{12}}{54p}

c)

14p1127\frac{14p^{11}}{27}  

d)

14p627\frac{14p^6}{27}  

40.

Simplify: 15a2b221ac14a4c26ab3\frac{15a^2b^2}{21ac}\cdot\frac{14a^4c^2}{6ab^3}  

a)

5a4c3b\frac{5a^4c}{3b}  

b)

5a6b2c23a2b3c\frac{5a^6b^2c^2}{3a^2b^3c}

c)

10a4c3b\frac{10a^4c}{3b}

d)

5a4bc5a^4bc

41.

Simplify:  n26n+52n+62n+6n5\frac{n^2-6n+5}{2n+6}\cdot\frac{2n+6}{n-5}  

a)

n1n-1  

b)

2(n1)2\frac{2\left(n-1\right)}{2}  

c)

2(n1)2\left(n-1\right)  

d)

11  

42.

Simplify: y2+8y+15y6y29y+18y29\frac{y^2+8y+15}{y-6}\cdot\frac{y^2-9y+18}{y^2-9}  

a)

y+5y+5

b)

1y+5\frac{1}{y+5}  

c)

(y+5)(y+6)y6\frac{\left(y+5\right)\left(y+6\right)}{y-6}  

d)

11  

43.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

44.
a)

2a2b6

b)

1/2a2b6

c)

b6/2a2

d)

2b6/a2

45.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

46.

Divide

a)

1/6

b)

x+10/ 6x+60

c)

x+8/ 6x+60

d)

(x+10)(x+8)/ 6x+60

47.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

48.
Simplify.
a)
1/(n-7)
b)
n-7
c)
(n-6)/(n-7)
d)
n-6
49.
(X2 + X - 20) / (X2 + 2X - 15)
a)
(X - 4) / (2X - 3)
b)
(X - 4) / (X - 3)
c)
(X +4) / (X + 3)
50.
Divide and Simplify
a)
1/6
b)
x+10/ 6x+60
c)
x+8/ 6x+60 
d)
(x+10)(x+8)/ 6x+60
51.
a)
A
b)
B
c)
C
d)
D
52.
a)
A
b)
B
c)
C
d)
D
53.

Divide the Rational Expression

6k4÷k+6k2+2k24\frac{6}{k-4}\div\frac{k+6}{k^2+2k-24}  

a)

9k4\frac{9}{k-4}  

b)

k+78\frac{k+7}{8}  

c)

66  

d)

k3k-3  

54.

Divide the Rational Expression

6a215a+10÷515a+10\frac{6a^2}{15a+10}\div\frac{5}{15a+10}  

a)

78(a9)\frac{7}{8\left(a-9\right)}  

b)

6a25\frac{6a^2}{5}  

c)

15a\frac{1}{5a}  

d)

a9a5\frac{a-9}{a-5}  

55.

Divide the Rational Expression

6k4÷k+6k2+2k24\frac{6}{k-4}\div\frac{k+6}{k^2+2k-24}  

a)

9k4\frac{9}{k-4}  

b)

k+78\frac{k+7}{8}  

c)

66  

d)

k3k-3  

56.

Simplify the expression.

a)
b)
c)
d)
57.

Simplify the expression.

a)
b)
c)
d)
58.

Simplify the expression.

a)
b)
c)
d)
59.

Simplify the expression.

a)
b)
c)
d)
60.
a)
a
b)
b
c)
c
d)
d
61.
a)
a
b)
b
c)
c
d)
d
62.
a)
a
b)
b
c)
c
d)
d
63.
a)
a
b)
b
c)
c
d)
d
64.
a)
A
b)
B
c)
C
d)
D
65.
a)
A
b)
B
c)
C
d)
D
66.
a)
A
b)
B
c)
C
d)
D
67.
a)
A
b)
B
c)
C
d)
D
68.
a)
A
b)
B
c)
C
d)
D
69.
a)
A
b)
B
c)
C
d)
D
70.
a)
A
b)
B
c)
C
d)
D
71.
a)
A
b)
B
c)
C
d)
D
72.

Subtract
x53x+43x53x+4\frac{x-5}{3x+4}-\frac{3x-5}{3x+4}  

a)

2x103x+4; x43\frac{-2x-10}{3x+4};\ x\ne-\frac{4}{3}  

b)

2x3c+4; x43\frac{-2x}{3c+4};\ x\ne-\frac{4}{3}  

c)

2x; x0-2x;\ x\ne0  

d)

2x10; x0-2x-10;\ x\ne0  

73.

Add
3x2x+2+2x4x1\frac{3x-2}{x+2}+\frac{2x}{4x-1}  

a)

14x27x+2(x+2)(4x1); x2, 14\frac{14x^2-7x+2}{\left(x+2\right)\left(4x-1\right)};\ x\ne-2,\ \frac{1}{4}  

b)

14x29x2(x+2)(4x1); x2, 1\frac{14x^2-9x-2}{\left(x+2\right)\left(4x-1\right)};\ x\ne-2,\ 1  

c)

12x27x+2(x+2)(4x1); x2, 14\frac{12x^2-7x+2}{\left(x+2\right)\left(4x-1\right)};\ x\ne-2,\ \frac{1}{4}  

d)

14x27x+2(x+2)(4x1); x14, 2\frac{14x^2-7x+2}{\left(x+2\right)\left(4x-1\right)};\ x\ne-\frac{1}{4},\ 2  

74.

Subtract
x2x+32x+12x3\frac{x}{2x+3}-\frac{2x+1}{2x-3}  

a)

2x211x3(2x3)(2x+3); x±23\frac{-2x^2-11x-3}{\left(2x-3\right)\left(2x+3\right)};\ x\ne\pm\frac{2}{3}  

b)

2x211x3(2x3)(2x+3); x±32\frac{-2x^2-11x-3}{\left(2x-3\right)\left(2x+3\right)};\ x\ne\pm\frac{3}{2}  

c)

2x2+5x+3(2x3)(2x+3); x±32\frac{-2x^2+5x+3}{\left(2x-3\right)\left(2x+3\right)};\ x\ne\pm\frac{3}{2}  

d)

2x2+5x+3(2x3)(2x+3); x±23\frac{-2x^2+5x+3}{\left(2x-3\right)\left(2x+3\right)};\ x\ne\pm\frac{2}{3}  

75.

Subtract
6x2+4x32x5x4\frac{6}{x^2+4x-32}-\frac{x-5}{x-4}  

a)

x2+3x34(x+8)(x4); x8, 4\frac{-x^2+3x-34}{\left(x+8\right)\left(x-4\right)};\ x\ne-8,\ 4  

b)

x2+3x34(x+8)(x4); x4, 8\frac{-x^2+3x-34}{\left(x+8\right)\left(x-4\right)};\ x\ne-4,\ 8  

c)

x23x+46(x+8)(x4); x8, 4\frac{-x^2-3x+46}{\left(x+8\right)\left(x-4\right)};\ x\ne-8,\ 4  

d)

x23x+46(x+8)(x4); x4, 8\frac{-x^2-3x+46}{\left(x+8\right)\left(x-4\right)};\ x\ne-4,\ 8  

76.

Subtract
x232x+72x52x+7\frac{x^2-3}{2x+7}-\frac{2x-5}{2x+7}  

a)

x22x82x+7; x72\frac{x^2-2x-8}{2x+7};\ x\ne-\frac{7}{2}  

b)

x22x8; x0x^2-2x-8;\ x\ne0  

c)

x22x+2; x0x^2-2x+2;\ x\ne0  

d)

x22x+22x+7; x72\frac{x^2-2x+2}{2x+7};\ x\ne-\frac{7}{2}  

77.

Simplify (add & divide)
12x+23xx1x3\frac{\frac{1}{2x}+\frac{2}{3x}}{\frac{x-1}{x-3}}  

a)

7x216x26x; x0, 1, 3\frac{7x-21}{6x^2-6x};\ x\ne0,\ 1,\ 3  

b)

7x216x26x; x1, 3\frac{7x-21}{6x^2-6x};\ x\ne1,\ 3  

c)

7x221x6x36x2; x0, 1, 3\frac{7x^2-21x}{6x^3-6x^2};\ x\ne0,\ 1,\ 3  

d)

7x221x6x36x2; x1, 3\frac{7x^2-21x}{6x^3-6x^2};\ x\ne1,\ 3  

78.

Add
7xx25x+x2x5\frac{7x}{x^2-5x}+\frac{x^2}{x-5}  

a)

x3+7xx(x5); x5\frac{x^3+7x}{x\left(x-5\right)};\ x\ne5  

b)

x2+7x5; x0, 5\frac{x^2+7}{x-5};\ x\ne0,\ 5  

c)

x45x3+7x235x(x25x)(x5); x5\frac{x^4-5x^3+7x^2-35x}{\left(x^2-5x\right)\left(x-5\right)};\ x\ne5  

d)

x45x3+7x235x(x25x)(x5); x0, 5\frac{x^4-5x^3+7x^2-35x}{\left(x^2-5x\right)\left(x-5\right)};\ x\ne0,\ 5  

79.

Add
2x34x7+2x34x7\frac{2x-3}{4x-7}+\frac{2x-3}{4x-7}  

a)

4x64x7; x74\frac{4x-6}{4x-7};\ x\ne-\frac{7}{4}  

b)

4x26x+94x7; x74\frac{4x^2-6x+9}{4x-7};\ x\ne\frac{7}{4}  

c)

4x64x7; x74\frac{4x-6}{4x-7};\ x\ne\frac{7}{4}  

d)

4x68x14; x148\frac{4x-6}{8x-14};\ x\ne-\frac{14}{8}  

80.

Add
2xx236+x+4x+6\frac{2x}{x^2-36}+\frac{x+4}{x+6}  

a)

x224(x+6)(x6); x±6\frac{x^2-24}{\left(x+6\right)\left(x-6\right)};\ x\ne\pm6  

b)

x3+6x224x(x+6)(x236); x6, 36\frac{x^3+6x^2-24x}{\left(x+6\right)\left(x^2-36\right)};\ x\ne-6,\ 36  

c)

x2+2x24(x+6)(x6); x±6\frac{x^2+2x-24}{\left(x+6\right)\left(x-6\right)};\ x\ne\pm6  

d)

x2+12x+24(x+6)(x6); x±6\frac{x^2+12x+24}{\left(x+6\right)\left(x-6\right)};\ x\ne\pm6  

81.

Add
2x2x20+3x2+7x+12\frac{2}{x^2-x-20}+\frac{3}{x^2+7x+12}  

a)

5x9(x5)(x+4)(x+3); x5, 3 4\frac{5x-9}{\left(x-5\right)\left(x+4\right)\left(x+3\right)};\ x\ne-5,\ 3\ 4  

b)

5x11(x5)(x+4)(x+3); x4,3, 5\frac{5x-11}{\left(x-5\right)\left(x+4\right)\left(x+3\right)};\ x\ne-4,-3,\ 5  

c)

5x11(x5)(x+4)(x+3); x5, 3 4\frac{5x-11}{\left(x-5\right)\left(x+4\right)\left(x+3\right)};\ x\ne-5,\ 3\ 4  

d)

5x9(x5)(x+4)(x+3); x4,3 5\frac{5x-9}{\left(x-5\right)\left(x+4\right)\left(x+3\right)};\ x\ne-4,-3\ 5  

82.
Which of the following is equivalent?
(7-m)
a)
(m-7)
b)
-(m+7)
c)
-(7+m)
d)
-(m-7)
83.
a)

A

b)

B

c)

C

d)

D

84.
a)

A

b)

B

c)

C

d)

D

85.
a)

A

b)

B

c)

C

d)

D

86.

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}  

87.

Simplify:

5x3x6x2\frac{5}{x}-\frac{3x}{6x^2}  

a)

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

b)

303x6x\frac{30-3x}{6x}  

c)

30x3x6x6x2\frac{30x-3x}{6x-6x^2}  

d)

27x6x2\frac{27x}{6x^2}  

88.

Simplify:

3x1+56x\frac{3}{x-1}+\frac{5}{6x}  

a)

23x56x(x1)\frac{23x-5}{6x\left(x-1\right)}  

b)

13x56x(x1)\frac{13x-5}{6x\left(x-1\right)}  

c)

13x56x2\frac{13x-5}{6x^2}  

d)

17x617x-6  

89.

Simplify:

2x5x3x+7\frac{2x}{5x}-\frac{3}{x+7}  

a)

2x2x5x(x+7)\frac{2x^2-x}{5x\left(x+7\right)}  

b)

7x215x(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)

2x214x 5x(x+7)\frac{2x^2-14x\ }{5x\left(x+7\right)}  

90.

Simplify:

4x2x+812x\frac{4x}{2x+8}-\frac{12}{x}  

a)

4x2+24x96x(2x+8)\frac{4x^2+24x-96}{x\left(2x+8\right)}  

b)

4x224x+96x(2x+8)\frac{4x^2-24x+96}{x\left(2x+8\right)}  

c)

4x224x96x(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)}  

91.

Simplify:

5x6x2+4x6\frac{5x}{6x^2}+\frac{4}{x-6}  

a)

29x230x6x2(x6)\frac{29x^2-30x}{6x^2\left(x-6\right)}  

b)

5x26x6x2(x6)\frac{5x^2-6x}{6x^2\left(x-6\right)}  

c)

19x230x6x2(x6)\frac{-19x^2-30x}{6x^2\left(x-6\right)}  

d)

no solution

92.

Simplify:

3x+4+2x2\frac{3}{x+4}+\frac{2}{x-2}  

a)

5x+2(x+4)(x2)\frac{5x+2}{\left(x+4\right)\left(x-2\right)}  

b)

3x6(x2)(x+4)\frac{3x-6}{\left(x-2\right)\left(x+4\right)}  

c)

5x10(x2)(x+4)\frac{5x-10}{\left(x-2\right)\left(x+4\right)}  

d)

6x+24(x2)(x+4)\frac{6x+24}{\left(x-2\right)\left(x+4\right)}  

93.

Simplify:

5x2x34x23x+1\frac{5x}{2x-3}-\frac{4x^2}{3x+1}  

a)

no solution

b)

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

c)

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

d)

7x2+17x(2x3)(3x+1)\frac{7x^2+17x}{\left(2x-3\right)\left(3x+1\right)}  

94.

Simplify:

3xx+5+72x8\frac{-3x}{x+5}+\frac{7}{2x-8}  

a)

6x2+31x+35(x+5)(2x8)\frac{-6x^2+31x+35}{\left(x+5\right)\left(2x-8\right)}  

b)

6x217x+35(x+5)(2x8)\frac{-6x^2-17x+35}{\left(x+5\right)\left(2x-8\right)}  

c)

25x+35(x+5)(2x8)\frac{25x+35}{\left(x+5\right)\left(2x-8\right)}  

d)

6x217x+35(x+5)(2x8)\frac{6x^2-17x+35}{\left(x+5\right)\left(2x-8\right)}  

95.

Simplify: 

8xx4113x+1\frac{8x}{x-4}-\frac{11}{3x+1}  

a)

24x23x44(3x+1)(x4)\frac{24x^2-3x-44}{\left(3x+1\right)\left(x-4\right)}  

b)

24x2+19x44(3x+1)(x4)\frac{24x^2+19x-44}{\left(3x+1\right)\left(x-4\right)}  

c)

24x23x+44(3x+1)(x4)\frac{24x^2-3x+44}{\left(3x+1\right)\left(x-4\right)}  

d)

13x2+52x(3x+1)(x4)\frac{13x^2+52x}{\left(3x+1\right)\left(x-4\right)}  

96.

Simplify: 

6x25x8x\frac{6x}{2}-\frac{5x}{8x}  

a)

48x25x2(8x)\frac{48x^2-5x}{2\left(8x\right)}  

b)

24x25x8x\frac{24x^2-5x}{8x}  

c)

19x8x\frac{19x}{8x}  

d)

24x210x8x\frac{24x^2-10x}{8x}  

97.

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}  

98.

Simplify: 

7x152x3\frac{7x}{15}-\frac{2x}{3}  

a)

17x15\frac{17x}{15}  

b)

3x15\frac{3x}{15}  

c)

19x45\frac{19x}{45}  

d)

3x15\frac{-3x}{15}  

99.

Simplify: 

12x5x2+6x\frac{12x}{5x^2}+\frac{6}{x}  

a)

18x25x3\frac{-18x^2}{5x^3}  

b)

18x5x2\frac{18x}{5x^2}  

c)

42x25x2\frac{42x^2}{5x^2}  

d)

42x5x2\frac{42x}{5x^2}  

100.

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)}  

101.

Simplify: 

62x+38x1\frac{6}{2x+3}-\frac{8}{x-1}  

a)

10x+18(x1)(2x+3)\frac{-10x+18}{\left(x-1\right)\left(2x+3\right)}  

b)

10x30(x1)(2x+3)\frac{-10x-30}{\left(x-1\right)\left(2x+3\right)}  

c)

22x+18(x1)(2x+3)\frac{22x+18}{\left(x-1\right)\left(2x+3\right)}  

d)

22x+30(x1)(2x+3)\frac{22x+30}{\left(x-1\right)\left(2x+3\right)}