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Depdendent Variable

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Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

Equ. #5:

Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

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Dependent Variable

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Ineq. #1:

Ineq. #2:

Ineq. #3:

Ineq. #4:

Ineq. #5:

Ineq. #6:

Ineq. #7:

Ineq. #8:

Ineq. #9:

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Evaluating Polynomials

To evaluate a polynomial means to replace each variable with a given number and then to simplify.

Example

Evaluate the given polynomial when x = 3 and y = -1: 5x⁴ + 8xy - 12y² + 7

Solution	5x⁴	+ 8xy	- 12y²	+ 7
Substitute 3 for x and -1 for y.	= 5(3)⁴	+ 8(3)(-1)	- 12(-1)²	+ 7
Simplify terms with exponents.	= 5 Â· 81	+ 8(3)(-1)	- 12 Â· 1	+ 7
Multiply.	= 405	- 24	- 12	+ 7
Simplify.	= 376