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Rational Equations problems

Solving Rational Equations with Polynomials example question

Solve the following Rational Equation provided below:

 

Solution to this Rational Equation with Polynomials practice problem is given in the video below!


Simplifying Polynomial Rational Expressions with Factoring problems

Simplifying Fractions with Polynomials example problem

Simplify the following Fraction Expression to only one term:

 

Solution to this Simplification of Fraction with Polynomials practice problem is given in the video below!


Algebra Work word problems

Printing Job word problem example

Jack can complete a printing job alone in 12 hours. With Jack’s help, Susan can complete this job in 8 hours. How long would it take her to complete this job alone?

 

Solution to this Algebra Work word practice problem is given in the video below!



 

Partial Fraction Decomposition problems

Linear Factors Partial Fraction Decomposition problem example

Find the Partial Fraction Decomposition for the following Fraction:

 

Solution to this Linear Factors Partial Fraction Decomposition practice problem is provided in the video below!



 

Linear Factors Partial Fraction Decomposition ALTERNATE Method example question

Alternate method takes into account the x-values in the equation that one can test to find the constants immediately instead of comparing coefficients.

Find the Partial Fraction Decomposition for the same example as above by using the Alternate Method:

 

Solution to this Alternate Method Linear Factors Partial Fraction Decomposition practice problem is provided in the video below!



 

QUADRATIC Factors Partial Fraction Decomposition example

Find the Partial Fraction Decomposition for the Fraction provided below:

 

Solution to this Quadratic Factors Partial Fraction Decomposition practice problem is provided in the video below!



 

HARD QUADRATIC Factors Partial Fraction Decomposition example problem

Determine the Partial Fraction Decomposition for the Fraction provided below:

 

Solution to this Difficult Quadratic Factors Partial Fraction Decomposition practice problem is provided in the video below!



 

Rational and Radical Expressions problems

HARD Rational Expression example question

Reduce and Simplify the following Rational Expressions to lowest terms:

a.

 

b.

 

c. 

 

d.

 

 

Solution to these Rational Expression practice problems is provided in the video below!



 

HARD Radical Expression example problem

Reduce and Simplify the following Radical Expressions to lowest terms:

a.

 

b.

 

c. 

 

d.

 

 

Solution to these Radical Expression practice problems is provided in the video below!



 

Two Column Algebra Proof problems

Two Column Algebra Proof Fraction example question

Prove that if 

then

 

Solution to this Two Column Algebraic Proof practice problem is given in the video below!



Two Column Algebra Proof Division example problem

Prove that if 

then

 

Solution to this Two Column Algebraic Proof practice problem is given in the video below!



Fractions problems

Fraction Operations example question

Simplify the following expressions:

a. 

 

b.    

 

c. 

 

d. 

 

e. 

 

Solution to this Fractions practice problem is given in the video below!



Simplifying Fractions example problem

Simplify the following expression:

 

Solution to this Fractions practice problem is given in the video below!



Simplifying Fractions example

Simplify the following expression:

 

Solution to this Fractions practice problem is given in the video below!






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