Unit 2: Solving Equations and Inequalities

Unit 2: Solving Equations and InequalitiesFinal Exam Review

Topics to coverSimplifying RadicalsQuadratic FormulaGraphing InequalitiesSolving Systems of Inequalities

Simplifying RadicalsSimplifying Radicals is necessary in math in order to simplify your answer COMPLETELYSteps to Follow:Break down the number under the radical using a FACTOR TREECIRCLE any pairs of numbersThe numbers that have a PAIR can be taken out of the radical and put on the OUTSIDEIf there is more than one pair, MULTIPLY the numbers on the outside of the radicalWrite what is left over without a pair UNDER the radical symbol

Simplifying RadicalsWatch this video to view and example

Simplifying RadicalsQuadratic FormulaQuadratic FormulaWatch this video to hear the song that goes with the formula to help you remember it!

Quadratic FormulaIn this problem, what is a, b, and c?y = 4x2 3x + 5

Answer:a = 4b = -3c = 5

Quadratic FormulaNow try this problem. Use the quadratic formula to solve for xy = 2x2 7x + 6

Graphing inequalitiesInequalities: , or To graph an inequality:Put the inequality into y=Go to TABLE to find the points to graphType of line:If < or >, use a DOTTED lineIf or , use a SOLID lineShading:If < or , shade BELOW the lineIf > or , shade ABOVE the line

Graphing inequalitiesGraph this inequalityy < x2 + 5x + 6

Dotted LineShading Below

Solving systems of inequalitiesSolving systems of inequalities allows you to find the MANY possible solutions to BOTH problemsFollow these steps:Graph both inequalities in y=Use the TABLE to graph both inequalities on your graphUse the correct line and shade on the correct side of the line according to the signThe answer to the system is where BOTH inequalities are shaded

Solving systems of inequalitiesWatch this video for an example:

Solving systems of inequalitiesNow try this one:y > 2x2 6y -x2 x

ALL DONE