Warm up – Solve

2

2

1. 4 5 64

2. by Completing the S 6 15 18

by Taking Square

quare

Rootsx

x x

5 4x i

3 2 3x

Skills CheckOpen Notes

Solve by Completing the Square

Questions over hw?(worksheet)

CCGPS GeometryDay 16 (2-4-14)

UNIT QUESTION: How are real life scenarios represented by quadratic functions?

Today’s Question:How do we solve quadratic inequalities?Standard: MCC9-12..A.CED.1, A.REI.4

Reading & Interpretin

g Inequalitie

s

Solving Quadratic

Inequalities Algebraicall

y

Solve Quadratic Inequality

1. Put in standard form2. Change the inequality to =3. Solve4. Graph the solutions 5. Test 3 values, one from each

section6. Shade when TRUE7. Interpret the graph to write

the solution as an inequality

1. Solve and graph.

2 12 0x x 4 3 0x x

4 3x x

?2

27 1 07 TRUE

?210 00 2 FALSE

?2

15 05 2 TRUE

4 3x or x

2. Solve and graph. 216 10x x

8 2 0x x 8 2x x

? 2

016 10 0 FALSE

? 2516 10 5 TRUE

? 2

1016 10 10 FALSE

2 8x

2 10 16 0x x

3. Solve and graph. 22 84 26x x

2 7 6 0x x 7 6x x

?2

2 48 8 26 8 TRUE

?22 84 26 5 6. 6.5 FALSE

?22 840 26 0 TRUE

7 or 6x x

22 26 84 0x x

4. Solve and graph. 20 2 3x x

3 1 0x x 3 1x x

1 or 3x x

2 2 3 0x x

5. Solve and graph.

22 3 5x x

2 5 1 0x x 5

or -2.5 12

x x

2.5 or 1x x

22 3 5 0x x

6. Solve and graph.

22 12 16x x

2 4 2 0x x4 2x x

2 or 4x x

22 12 16 0x x

7. Solve and graph.

23 2 1 0x x

3 1 1 0x x 1

13

x x

11 or

3x x

23 2 1 0x x

8. Solve and graph.

22 5 2x x

2 1 2 0x x 1

22

x x

1

22

x

22 5 2 0x x

CW/HWWorksheet

12 problems