Solving Rational Equations- Formal Doodle Notes

6 Slides • 10 Questions

1

Solving Rational Equations

2

Denominators are the same

3

Denominators can be made the same easily

4

Solve with Proportions and Cross Products

5

Rewrite so all parts have common denominator

6

Remember Domain Restrictions

Domain Restrictions:
Set denominators = to 0 and solve.

7

Multiple Choice

Solve!

1

x = 2

2

x = 6

3

x = 4

4

x = 8

8

Multiple Choice

Solve the equation for x.

1

6

2

12

3

0

4

3

9

Multiple Choice

Which of the following below would be an extraneous solution to the equation?

1

$x\ =\ 3$

2

$x\ =\ 5$

3

$x\ =\ 1$

4

$x\ =\ -5$

10

Multiple Choice

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

1

$x=-5$

2

$x=5$

3

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

4

No Solution

11

Multiple Choice

How do you know when a solution is extraneous?

1

When you plug in the solution, there is 0 in a numerator.

2

When you plug in the solution, there is 0 in a denominator.

3

When the solution is x = 0

4

It looks extra. 💁‍♀️

12

Multiple Choice

Which of the following below would be an extraneous solution to the equation?

1

$x\ =\ 2$

2

$x\ =\ 7$

3

$x\ =\ 14$

4

$x\ =\ -2$

13

Multiple Choice

Solve

1

x = 7

2

x = -3

3

x = 2

4

x = -2

14

Multiple Choice

Rational Functions have both a numerator a denominator

1

False.

2

True

3

Rational Functions have only a numerator.

4

Rational Functions have only a denominator.

15

Multiple Choice

Solve.

1

x=2

2

x= -2

3

x=11

4

x=22

16

Multiple Choice

Which of the following below would be an extraneous solution to the equation?

1

$x\ =\ 9$

2

$x\ =\ -3$

3

$x\ =\ -9$

4

$x\ =\ 1$

Solving Rational Equations

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