MATH C    HYBRID                          

STUDY GUIDE FOR FINAL EXAM     *The answer-key will be emailed to you.

 

 

There are about 50-60 practice problems in CourseCompass.  I set it up as our last homework assignment and thus this is your last chance to improve your overall homework average.  Below are additional topics and practice problems.  If you master the skills and understand all the practice problems in CourseCompass and the ones below, then you are very well prepared for the Final Exam.

 

Examples:

.   Find the determinant                                  2.   Solve for x: 

 

Examples: 

1.                                                                 2.    

 

Examples:  Given .

Find

1.                       2.                          3.                         4.  

 

Example:  A principle of $25,000 is invested in an account paying an annual rate of 5%.  Find the amount in the account after 2 years if the account is compounded

1.        Semiannually

2.        Annually

3.        Monthly

 

Example:  Mrs. Meidinger has only dimes and nickels in her purse.  She has 38 coins in all and worth a total of $2.55.  How many dimes and nickels does she have?

 

 

Summary of different types of equations and methods for solving.

 

Type of Problem:

 

Solve a Quadratic Equation by the “Perfect Square” Method

 

1.  Isolate the x2  term.

2.  Simplify other side, if possible

3.  Square root on both sides, with ±

 

 

 

 

Type of Problem:

 

Solve a Quadratic Equation by the “Factoring” Method

 

 

 

1.  Descending order on one side, zero on other side.

2.  Factor one side, bring down zero

3.  Set each factor equal to zero

4.  Solve each new equation for x

 

 

 

 

Type of Problem:

 

Solve an Radical Equation

 

 

1.  Isolate the radical

2.  Square both sides

3.  Check the answer, or you’re fried!

 

 

 

 

Type of Problem:

 

Simplify or Multiply Rational Expressions

 

 

 

 

 

1.  Factor the numerators

2.  Factor the denominators

3.  Cross out factors (not terms) of one or negative one.

 

 

 

Type of Problem:

 

Add or Subtract Rational Expressions

 

1. Find LCD

    Factor denominators

    Multiply each fraction by what you need, top and bottom, to get the LCD

2.  Add (subtract) the tops

     (Distribute, combine like terms)

 

 

 

Type of Problem:

 

Solve a Rational Equation

 

1.  Multiply each term by the whole LCD to get rid of the fractions

2.  Simplify each side separately.

3.  Move all x terms to one side

4.  Move all other terms to other side

5.  Divide by the coefficient of x

6.  Check to be sure the answer won’t make any terms undefined.

 

 

Type of Problem:

 

Simplify a Complex Fraction

 

1.  Multiply each term in the numerator and denominator by the whole LCD to get rid of the little fractions.

2.  Simplify top & bottom separately, then reduce if possible