Foundations: Wednesday, February 15, 2017
Name ___________________________________
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Graphing Systems of Equations - 1
Period ____
Let's do these together. Solve each system by graphing.
1) y = -3
y=x-2
2) y = x + 4
y = -x - 2
y
-5
-4
-3
-2
y
5
5
4
4
3
3
2
2
1
1
-1
1
2
3
4
5 x
-5
-4
-3
-2
-1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
3) y = 4x + 4
y=x-2
1
2
3
4
5 x
1
2
3
4
5 x
4) y = 6x + 2
y=x-3
Your turn. Solve each system by graphing.
5) y = -3x - 2
y=1
6) y = -x + 3
y=x+1
y
-5
-4
-3
-2
y
5
5
4
4
3
3
2
2
1
1
-1
1
2
3
4
5 x
-5
-4
-3
-2
-1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
Worksheet by Kuta Software LLC
-1-
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2
7) y = - x - 1
3
7
y=- x+4
3
1
8) y = x + 2
4
1
y= x-1
4
y
-5
-4
-3
-2
y
5
5
4
4
3
3
2
2
1
1
-1
1
2
3
4
5 x
-5
-4
-3
-2
-1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
9) y = 2x - 2
y = -x + 4
1
2
3
4
5 x
1
2
3
4
5 x
3
10) y = x - 4
4
5
y=- x+4
4
y
5
4
y
3
5
2
4
1
3
-5
-4
-3
-2
-1
1
2
3
4
5 x
2
-1
1
-2
-5
-3
-4
-3
-2
-1
-1
-4
-2
-5
-3
-4
-5
Worksheet by Kuta Software LLC
-2-
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1
11) y = x - 3
2
1
y= x-4
2
1
12) y = x + 3
2
y = 4x - 4
y
5
y
5
4
4
3
3
2
2
1
1
-5
-4
-3
-2
-1
1
2
3
4
5 x
1
2
3
4
5 x
-1
-5
-4
-3
-2
-1
1
2
3
4
5 x
-1
-2
-2
-3
-3
-4
-4
-5
-5
14) y = 6x - 2
y=x+3
1
13) y = x - 3
4
1
y= x-2
4
y
5
4
y
3
5
2
4
1
3
-5
2
-4
-3
-2
-1
-1
1
-2
-5
-4
-3
-2
-1
1
2
3
4
5 x
-3
-1
-4
-2
-5
-3
-4
-5
Worksheet by Kuta Software LLC
-3-
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16) y = -2x - 3
y = 5x + 4
7
15) y = x - 4
3
2
y= x+1
3
y
5
4
y
3
5
2
4
1
3
-5
2
-4
-3
-2
-1
1
2
3
4
5 x
1
2
3
4
5 x
-1
1
-2
-5
-4
-3
-2
-1
1
2
3
4
5 x
-3
-1
-4
-2
-5
-3
-4
-5
18) y = -x - 1
y = -4x + 2
8
17) y = x + 4
3
1
y= x-3
3
y
5
4
y
3
5
2
4
1
3
-5
2
-4
-3
-2
-1
-1
1
-2
-5
-4
-3
-2
-1
1
2
3
4
5 x
-3
-1
-4
-2
-5
-3
-4
-5
Worksheet by Kuta Software LLC
-4-
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5
19) y = x + 4
2
3
y=- x-4
2
1
20) y = x + 1
3
4
y= x-2
3
y
-5
-4
-3
-2
y
5
5
4
4
3
3
2
2
1
1
-1
1
2
3
4
5 x
-5
-4
-3
-2
-1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
1
21) y = x - 1
2
7
y= x+4
4
1
2
3
4
5 x
1
2
3
4
5 x
1
22) y = - x + 3
2
y = 2x - 2
y
5
y
5
4
4
3
3
2
2
1
1
-5
-4
-3
-2
-1
-1
-5
-4
-3
-2
-1
1
2
3
4
5 x
-1
-2
-2
-3
-3
-4
-4
-5
-5
Worksheet by Kuta Software LLC
-5-
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23) y = -4x - 3
y = 2x + 3
3
24) y = x + 2
2
1
y= x-3
4
y
5
4
y
3
5
2
4
1
3
-5
-4
-3
-2
-1
1
2
3
4
5 x
2
-1
1
-2
-5
-3
-4
-3
-2
-1
1
2
3
4
5 x
-1
-4
-2
-5
-3
-4
-5
Worksheet by Kuta Software LLC
-6-
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Foundations: Wednesday, February 15, 2017
Name ___________________________________
©d r2j0t1z7M \KtuAtfaU TSDoWfTtBwkaAr\e] vLOLICy.c J pAvlnlc dryiSghh]tbss jrkefsxeGr]v[eTdG.
Graphing Systems of Equations - 1
Period ____
Let's do these together. Solve each system by graphing.
1) y = -3
y=x-2
2) y = x + 4
y = -x - 2
y
-5
-4
-3
-2
y
5
5
4
4
3
3
2
2
1
1
-1
1
2
3
4
5 x
-5
-4
-3
-2
-1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
(-1, -3)
1
2
3
4
5 x
1
2
3
4
5 x
(-3, 1)
3) y = 4x + 4
y=x-2
4) y = 6x + 2
y=x-3
(-2, -4)
(-1, -4)
Your turn. Solve each system by graphing.
5) y = -3x - 2
y=1
6) y = -x + 3
y=x+1
y
-5
-4
(-1, 1)
-3
-2
y
5
5
4
4
3
3
2
2
1
1
-1
1
2
3
4
5 x
-5
-4
-3
-2
-1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
(1, 2)
Worksheet by Kuta Software LLC
-1-
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2
7) y = - x - 1
3
7
y=- x+4
3
1
8) y = x + 2
4
1
y= x-1
4
y
-5
-4
-3
-2
y
5
5
4
4
3
3
2
2
1
1
-1
1
2
3
4
5 x
-5
-4
-3
-2
-1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
(3, -3)
1
2
3
4
5 x
1
2
3
4
5 x
No solution
9) y = 2x - 2
y = -x + 4
3
10) y = x - 4
4
5
y=- x+4
4
y
5
4
y
3
5
2
4
1
3
-5
-4
-3
-2
-1
1
2
3
4
5 x
2
-1
1
-2
-5
-3
-4
-3
-2
-1
-1
-4
-2
-5
-3
(2, 2)
-4
-5
(4, -1)
Worksheet by Kuta Software LLC
-2-
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1
11) y = x - 3
2
1
y= x-4
2
1
12) y = x + 3
2
y = 4x - 4
y
5
y
5
4
4
3
3
2
2
1
1
-5
-4
-3
-2
-1
1
2
3
4
5 x
1
2
3
4
5 x
-1
-5
-4
-3
-2
-1
1
2
3
4
5 x
-1
-2
-2
-3
-3
-4
-4
-5
-5
(2, 4)
No solution
14) y = 6x - 2
y=x+3
1
13) y = x - 3
4
1
y= x-2
4
y
5
4
y
3
5
2
4
1
3
-5
2
-4
-3
-2
-1
-1
1
-2
-5
-4
-3
-2
-1
1
2
3
4
5 x
-3
-1
-4
-2
-5
-3
-4
(1, 4)
-5
No solution
Worksheet by Kuta Software LLC
-3-
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16) y = -2x - 3
y = 5x + 4
7
15) y = x - 4
3
2
y= x+1
3
y
5
4
y
3
5
2
4
1
3
-5
2
-4
-3
-2
-1
1
2
3
4
5 x
1
2
3
4
5 x
-1
1
-2
-5
-4
-3
-2
-1
1
2
3
4
5 x
-3
-1
-4
-2
-5
-3
(-1, -1)
-4
-5
(3, 3)
18) y = -x - 1
y = -4x + 2
8
17) y = x + 4
3
1
y= x-3
3
y
5
4
y
3
5
2
4
1
3
-5
2
-4
-3
-2
-1
-1
1
-2
-5
-4
-3
-2
-1
1
2
3
4
5 x
-3
-1
-4
-2
-5
-3
-4
(1, -2)
-5
(-3, -4)
Worksheet by Kuta Software LLC
-4-
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5
19) y = x + 4
2
3
y=- x-4
2
1
20) y = x + 1
3
4
y= x-2
3
y
-5
-4
-3
-2
y
5
5
4
4
3
3
2
2
1
1
-1
1
2
3
4
5 x
-5
-4
-3
-2
-1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
(-2, -1)
1
2
3
4
5 x
1
2
3
4
5 x
(3, 2)
1
21) y = x - 1
2
7
y= x+4
4
1
22) y = - x + 3
2
y = 2x - 2
y
5
y
5
4
4
3
3
2
2
1
1
-5
-4
-3
-2
-1
-1
-5
-4
-3
-2
-1
1
2
3
4
5 x
-1
-2
-2
-3
-3
-4
-4
-5
-5
(2, 2)
(-4, -3)
Worksheet by Kuta Software LLC
-5-
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23) y = -4x - 3
y = 2x + 3
3
24) y = x + 2
2
1
y= x-3
4
y
5
4
y
3
5
2
4
1
3
-5
-4
-3
-2
-1
1
2
3
4
5 x
2
-1
1
-2
-5
-3
-4
-3
-2
-1
1
2
3
4
5 x
-1
-4
-2
-5
-3
(-1, 1)
-4
-5
(-4, -4)
Worksheet by Kuta Software LLC
-6-
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