Bellwork Solve by graphing y < x + 2 y > -1/2x + 5.

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Presentation transcript:

Bellwork Solve by graphing y < x + 2 y > -1/2x + 5

Graph y < x + 2 Graph y > -1/2x + 5 Y X

Graph y < x + 2 Graph y > -1/2x + 5 Y X

To Complete the Chapter 7 Test Review. Today’s Objective To Complete the Chapter 7 Test Review.

1.) Which ordered pair is a solution ? (2,-1) (-3, 2) 3x + 2y = 4 -x + 3y = -5 3x + 2y = 4 3(2) + 2(-1) = 4 6 + -2 = 4 4 = 4 -x + 3y = -5 -(2) + 3(-1) = -5 -2 + -3 = -5 -5 = -5 (2, -1)

1.) Which ordered pair is a solution ? (2,-1) (-3, 2) 3x + 2y = 4 -x + 3y = -5 3x + 2y = 4 3(-3) + 2(2) = 4 -9 + 4 = 4 -5 = 4

2.) Graph: y = 2x - 4 y = -1/2x + 1 Y X (2,0)

3.) Graph: 3x + 6y = 15 -2x + 3y = -3 3x + 6y = 15 3x - 3x + 6y = -3x + 15 6y = - 3x + 15 6y/6 = (- 3x + 15)/6 y = -1/2x + 5/2

3.) Graph: 3x + 6y = 15 -2x + 3y = -3 -2x + 3y = -3 -2x + 2x + 3y = 2x - 3 3y = 2x - 3 3y/3 = (2x - 3)/3 y = 2/3x - 1

3.) Graph: y = -1/2x + 5/2 y = 2/3x - 1 Y X (3, 1)

4.) Sub: y = x - 3 4x + y = 32 y = x - 3 4x + y = 32 4x+(x - 3)=32 (7,4)

5.) L.C. x + 2y = 14 x - 2y = 10 x + 2y = 14 x - 2y = 10 2x = 24 (12,1)

6.) L.C. 5x + 2y = 7 3x - y = 7 5x + 2y = 7 3x - y = 7 6x - 2y = 14 11x = 21 x = 21/11 3x - y = 7 3(21/11) - y= 7 63/11 - y= 7 -y = 7-63/11 y = 14/11

7.) L.C. 5x + 4y = 4 4x + 5y = 5 5x + 4y = 4 4x + 5y = 5 20x+16y=16 (0,1)

8.) 2x - y = 5 4x - 2y = 10 2x - y = 5 -y = -2x +5 y = 2x - 5 2x-2x-y=-2x+5 -y = -2x +5 y = 2x - 5 4x - 2y = 10 4x - 2(2x-5) = 10 4x-4x+10=10 10 = 10 true Single Line Many Solutions

9.) Let $2 video = x Let $3 video = y x + y = 5 2x + 3y = 13 -2(x + y = 5) -2x -2y = -10 2x +3y = 13 y = 3 x + y = 5 x + 3 = 5 x = 2 2~$2videos 3~$3videos

10.) Graph y > x + 7 Graph 3x + y < 4 y > x + 7 0 > 0 + 7 0 > 7 False X

Graph y < -3x + 4 Graph 3x + y < 4 y < -3x + 4 0 < 0 + 4 0 < 4 True X

10.) Graph y > x + 7 Graph 3x + y < 4 Y X

10.) Graph y > x + 7 Graph 3x + y < 4 Y X