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Algebra II.  To remember everything in 1 st Semetser!

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Presentation on theme: "Algebra II.  To remember everything in 1 st Semetser!"— Presentation transcript:

1 Algebra II

2  To remember everything in 1 st Semetser!

3 (-4)( ) (-4) -12x – 9y - 15z = 69 12x – 20y + 24z = -20 -29y + 9z = 49 (3)( ) (3) 6y – z = -11 -29y + 9z = 49 (9)( ) (9) 54y – 9z = -99 -29y + 9z = 49 25y = -50 y = -2

4 6(-2) – z = -11 -12 – z = -11 -z = 1 z = -1 -4x – 3(-2) – 5(-1) = 23 -4x + 6 + 5 = 23 -4x + 11 = 23 -4x = 12 x = -3 (-3, -2, -1)

5 2. x + 2y = –6 9x + 4y = 16

6 (4, –5)

7

8

9 Min Min Value -1

10 xy –1 0 7 1 2 3 1 7 V( 1 -1)

11 16 -32

12 2x 3 4x 1 + 6x + 9) - 4x+ 1)

13 –18 –17 1 –18

14 Set = 0 a = 5 b = -2 c = –1

15 25

16 = 36 – 36 = 0 = 4 + 192 = 196 = 9 - 240 = -231

17 – 5 x –5x –153x x 3

18 4 –5 -4 –1

19

20 -4 = (x – 1)(x + 1)(x + 4)

21

22


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