Solving Rational Equations - PowerPoint Presentation

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Uploaded On 2021-01-27

Solving Rational Equations - PPT Presentation

86 Equations that contain one or more rational expressions are called rational equations Multiply each term on both sides of the equations by the LCD of the terms Simplify and solve the resulting polynomial ID: 829996

solve solution complete check solution solve check complete equations job hours base brine rational adriana wuyi work long monique

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Slide1

Solving Rational Equations

8.6

Slide2

Equations that contain one or more rational expressions are called rational equations.

Multiply each term on both sides of the equations by the LCD of the terms.

Simplify and solve the resulting polynomial.

Always check answers for extraneous solutions!!

Slide3

Example 1:

Solve

. Check your solution.

Slide4

Example 2:

Solve

Slide5

Example 3

Solve

. Check your solution.

Slide6

Example

Solve.

Slide7

Example 5: Solve.

Slide8

Example 6: Solve and Check.

Slide9

Example 7: Solve and check.

Slide10

Example 8: Solve and check.

Slide11

Example 9:

Aaron

adds an 80% brine (salt and water) solution to 16 ounces of solution that is 10% brine. How much of the solution should be added to create a solution that is 50% brine?

Slide12

Example 10:

Janna

adds a 65% base solution to

13 ounces of solution that is 20% base. How much of the solution should be added to create a solution that is 40% base?

Slide13

Example 11

Wuyi

and

Uima

mow lawns together. Wuyi working alone could complete a particular job in 4.5 hours, and Uima could complete it alone in 3.7 hours. How long does it take to complete the job when they work together?

Slide14

Example 12

Adriana and Monique paint rooms together. Adriana working alone could complete a particular job in 6.4 hours, and Monique could complete it alone in 4.8 hours. How long does it take to complete the job when they work together?

Slide15

Exit Slip

Solve

. Check your solution.