Intermediate Algebra (11th edition)

SUMMARY EXERCISES on Rational Expressions and Equations

Identify each exercise as an equationor an expression. Then simplify the expression by
performing the indicated operation, or solve the equation, as appropriate.

1. 
   
   
   
   2. 
      
   
   
   
   

3. 4.

5. 6.

7. 8.

9. 10.

11. 12.

13. 14.

15. 16.

17. 18.

19. 20.

21. 22.

23. 24.

25. 26.

27. 28.

29. 30.

2 k+

5

k- 1

3 k-

2

k

3

y- 3

-

3

y^2 - 5 y+ 6

=

2

y- 2

7

2 x^2 - 8 x

+

3

x^2 - 16

2

y+ 1

-

3

y^2 - y- 2

=

3

y- 2

t

4

• 1
  t

1 +

t+ 4

t

- 1

3 - x

-

2

x- 3

6 z^2 - 5 z- 6

6 z^2 + 5 z- 6

#^12 z

(^2) - 17 z+ 6
12 z^2 - z- 6
3 r
r- 2

= 1 +

6

r- 2

8

3 k+ 9

-

8

15

=

2

5 k+ 15

4 y^2 - 13 y+ 3

2 y^2 - 9 y+ 9

,

4 y^2 + 11 y- 3

6 y^2 - 5 y- 6

- 2

a^2 + 2 a- 3

-

5

3 - 3 a

=

4

3 a+ 9

5

x

• 
  

3

y

9 x^2 - 25 y^2

x^2 y

6

t+ 1

+

4

5 t+ 5

=

34

15

5

x^2 - 2 x

-

3

x^2 - 4

10 z^2 - 5 z

3 z^3 - 6 z^2

,

2 z^2 + 5 z- 3

z^2 +z- 6

b^2 +b- 6

b^2 + 2 b- 8

#b

(^2) + 8 b+ 16
3 b+ 12
a- 4
3

+

11

6

=

a+ 1

2

x- 2

9

#^5

8 - 4 x

3 p^2 - 6 p

p+ 5

,

p^2 - 4

8 p+ 40

x

x+y

+

2 y

x-y

8

r+ 2

-

7

4 r+ 8

6

x+ 1

• 
  

1

x

2

x

• 
  

4

x+ 1

4

x

-

8

x+ 1

= 0

7

6 x

+

5

8 x

x- 5

3

+

1

3

=

x- 2

5

5

7 t

=

52

7

-

3

t

1

x

+

1

y

1

x

• 
  

1

y

6

7 x

-

4

x

4 x- 20

x^2 - 25

#

1 x+ 522

10

x

2

-

x

4

= 5