1. Solving Equations Containing Rational Expressions
7.6
Solving Equations Containing Rational Expressions
1. Solve equations containing rational expressions.

2. Solve:
LCD = 24 24 4 1 6 3 24

3. LCD = 4x
Solve:
Restriction: x ≠ 0
Linear
Variables to one side

4. Solve:
LCD:
R: y ≠ -3, y ≠ 1, y ≠ -2

5. LCD:
Solve:
R: y ≠ -3, y ≠ 1, y ≠ -2
Quadratic
Set =0

6. LCD:
Solve:
R: y ≠ -3, y ≠ 1, y ≠ -2

7. Solve: or Φ Extraneous Solution LCD: R: a ≠ 1, a ≠ -1 Linear
Variables to one side
or Φ
Extraneous Solution

8. Extraneous Solution: An apparent solution that does not solve its equation.

9. LCD:
Solve:
R: y ≠ 2, y ≠ -2
Linear
Variables to one side

10. This could also have been worked as a proportion.
LCD:
Solve:
R: y ≠ 2, y ≠ -2
This could also have been worked as a proportion.
Quadratic
Set = 0
Extraneous Solution

11. LCD:
Solve:
R: x ≠ 3, x ≠ -3
Quadratic
Set = 0
Extraneous Solution

12. Copyright © 2011 Pearson Education, Inc.
Solve.
a) 2
b) 5
c) 7
d) 10
Copyright © 2011 Pearson Education, Inc.
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13. Copyright © 2011 Pearson Education, Inc.
Solve.
a) 2
b) 5
c) 7
d) 10
Copyright © 2011 Pearson Education, Inc.
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14. Copyright © 2011 Pearson Education, Inc.
Solve.
a) 2
b) 1
c) 2 and 5
d) 3 and 4
Copyright © 2011 Pearson Education, Inc.
7.6

15. Copyright © 2011 Pearson Education, Inc.
Solve.
a) 2
b) 1
c) 2 and 5
d) 3 and 4
Copyright © 2011 Pearson Education, Inc.
7.6