Bellwork Solve by graphing y x 2 y

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

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

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

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

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

2. ) Graph: y = 2 x - 4 y = -1/2 x + 1

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

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

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

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

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

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

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

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

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