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

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

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

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

5. 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
= 4
4 = 4
-x + 3y = -5
-(2) + 3(-1) = -5
= -5
-5 = -5
(2, -1)

6. 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
= 4
-5 = 4

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

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

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

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

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

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

13. 6.) L.C. 5x + 2y = x - 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

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

15. 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

16. 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

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

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

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

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