Warm up – Solve by Factoring

2

2

1. 3 6 24 0

2. 9 9 4 0

x x

x x

4 2x x

1/ 3 4/ 3 x x

Questions over hw?(worksheet)

Question of the Day

EOCT Review

CCGPS GeometryDay 14 (8-21-14)

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

Paula’s Peaches

Peach Yield

For what number of trees will Paula have more than 18,000 peaches per acre?

For what number of trees will Paula have less than 18,000 peaches per acre?

Basketball

Solving Quadratic

Inequalities Algebraicall

y

Solve Quadratic Inequality

1. Put in standard form2. Change the inequality to =3. Factor & Solve4. Graph the solutions (open

circle for <> and closed circle for

≤≥)5. Test 3 values (one in each

section)6. Shade when TRUE7. Write the answer as an

inequality

Answers will look like:

ANDsmallest number x largest number

OR

smallest number or x largest numberx

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 TRUE4 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

?2

2 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

1 3 1 0x x 3 1x x

1 or 3x x

21 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/HW

Worksheet12 problems