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MM2A4 Students will solve quadratic equations and inequalities in one variable. MM2A4d Solve quadratic inequalities both graphically and algebraically.

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Presentation on theme: "MM2A4 Students will solve quadratic equations and inequalities in one variable. MM2A4d Solve quadratic inequalities both graphically and algebraically."— Presentation transcript:

1 MM2A4 Students will solve quadratic equations and inequalities in one variable. MM2A4d Solve quadratic inequalities both graphically and algebraically and describe the solutions using linear inequalities. 1 Wednesday, November 04, 2015 Essential Question: How do we solve quadratic inequalities algebraically? Lesson 3.9B

2 MM2A4 Students will solve quadratic equations and inequalities in one variable. MM2A4d Solve quadratic inequalities both graphically and algebraically and describe the solutions using linear inequalities. To solve quadratic inequalities algebraically: Change the inequality symbol to = Get the equation =0 Factor Solve to get “critical x-values” Use a number line to test regions! State the solution

3 MM2A4 Students will solve quadratic equations and inequalities in one variable. MM2A4d Solve quadratic inequalities both graphically and algebraically and describe the solutions using linear inequalities. 3 x 1 The solutions are –2 1 Find the x-intercepts. (x + 2)(x – 1)=0 x = –2 or x = 1 1.

4 MM2A4 Students will solve quadratic equations and inequalities in one variable. MM2A4d Solve quadratic inequalities both graphically and algebraically and describe the solutions using linear inequalities. 4 –3 < x < 4 Find the x-intercepts. x 2 – x – 12 = 0 The solutions are (x + 3)(x – 4)=0 x = –3 or x = 4 2.

5 MM2A4 Students will solve quadratic equations and inequalities in one variable. MM2A4d Solve quadratic inequalities both graphically and algebraically and describe the solutions using linear inequalities. Solve the inequality algebraically 3.

6 MM2A4 Students will solve quadratic equations and inequalities in one variable. MM2A4d Solve quadratic inequalities both graphically and algebraically and describe the solutions using linear inequalities. Solve the inequality algebraically x < 1x > 2 4.


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