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reflexive axiom: a = a symmetric axiom: if a = b, then b = a transitive axiom: if a = b and b = c, then a = c additive axiom: if a = b and c = d, then a + c = b + d multiplicative axiom: if a = b and c = d, then ac = bd addition/subtraction method: combine equations to eliminate one variable. graphing method: graph each equation on the same graph. the coordinates of the intersection are the solution. solve exactly like equations, except if you multiply or divide both sides by a negative number, you must reverse the direction of the inequality sign. use double parentheses and factor the first term and place the factors in the left side of the parenthesis.
multiply the means and extremes; their sum must equal the middle term. by factoring: put all terms on one side of the equal sign and factor. by completing the square: put the equation in the form of ax2 + bx = -c (make a -1 by dividing if necessary). add (b/2)2 to both sides of the equation to form a perfect square on the left side of the equation. solve the resulting equation.
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decide how many terms your polynomial contains. 4. factor using grouping after factoring a greatest common factor (gcf). the factoring cheat sheet is a summary of the main factoring identities and pattern of polynomials. it could be used factoring. a common factor. find the largest common monomial and factor of each term. divide the original polynomial to , algebra cheat, factoring polynomials practice, factoring polynomials practice
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