Chapter 8: Rational Exponents 📝

Polynomial Rational Expression

a fraction containing plynomials

How to divide or multiply Rational Expressions

Step 1 factor (find a product of the last number that adds up to the second to last)

Step 2 if you are dividing fractions flip the second fraction and multiply

Step 3 Reduce (slash)you can only reduce from top to bottom never reduce from side to side, cross out all of the like terms from both sides and turn them into ones

How to divide or multiply Rational Expressions easy

(multiplication) factor slash multiply (division) factor flip slash multiply

practice problems in doc 8 1-10

practice problems in doc 8 1-10

To add and/or subtract fractions, we need a common ___________

denominator

The adding and subtracting rational exponents process

1: Factor
2: Find common denominator
3: Rewrite fractions using common denominator
4: Put entire numertor over common denominator
5: Simplify numerator
6: Factor and cancel if possible
7: Write final answer in simplified form

Practice Problems in Doc 8 11-16

Practice Problems in Doc 8 11-16

Practice Problems in Doc 8 16-20

Practice Problems in Doc 8 16-20

Exteraneous Solutions

Solutions with a Virus to find out if you have one plug in the x = value back into the problem and solve if it is correct than you do not have one.

Steps to solve Rational Equationes

1: Find the common Denominator
2: Multiply everything by the common denominator
3: Simplify
4: Check the answer(s) for an extraneous solution

Practice Problems in Doc 21-26

Practice Problems in Doc 21-26

How to solve rational equation word problems

pay close attention to the wording, and write an equation to represent the ratios being provided, clear the fractions using the least common multiple (lcm), use inverse operations to manipulate if needed, (may need to convert to standard form to factor easier) then solve like normal, check your solutions and make sure they make sense! If anything like negative 6 hours comes up (which is not possible) eliminate that from the equation

Standard Form

Ax^2 + Bx + C = 0

Practice Problems in doc 25-29

Practice Problems in doc 25-29