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Enter expression, e.g. (x^2-y^2)/(x-y)

Enter expression, e.g. x^2+5x+6

Enter expression, e.g. (x+1)^3

Enter a set of expressions, e.g. ab^2,a^2b

Enter equation to solve, e.g. 2x+3=4

Enter equation to graph, e.g. y=3x^2-1

Depdendent Variable

Number of equations to solve:

Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

Equ. #5:

Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

Solve for:

Enter inequality to solve, e.g. 2x+3>4

Enter inequality to graph, e.g. y<3x^2-1

Dependent Variable

Number of inequalities to solve:

Ineq. #1:

Ineq. #2:

Ineq. #3:

Ineq. #4:

Ineq. #5:

Ineq. #6:

Ineq. #7:

Ineq. #8:

Ineq. #9:

Solve for:

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Adding and Subtracting Rational Expressions

When adding or subtracting fractions with common denominators, we

Example: Perform the operations. Simplify if possible.

Be careful with subtraction!!

Do homework problems 13 − 43 every-other-odd

What if the fractions do not have a common denominator? After we stop crying and/or
cursing, we must find the Least Common Denominator (LCD)

The LCD for a set of fractions is the smallest number that each denominator will
divide into. And, to find the LCD….

Finding the LCD

• Factor each denominator completely.

• Form a product using each factor (from above). Be sure to use each factor the
greatest number of times it appears in any one factorization.

Example: Find the LCD for the following (Do not need to perform the addition)

Do homework problems 57− 65 odd

Example: Perform the operations. Simplify if possible.

Do homework problems 67 − 85 odd (All problems assigned in Sec 6.3 can now be worked)