Graphing linear inequalities - Loudoun County Public Schools

Algebra 1

Name___________________________________ ID: 1

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Graphing linear inequalities

Date________________ Period____

Sketch the graph of each linear inequality.

7 1) y < - x + 4

4

y 6 5 4 3 2 1

-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x

2) y ? 4x - 4

y 6 5 4 3 2 1

-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x

3) y ? -x - 4

y 6 5 4 3 2 1

-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x

3 5) y > - x

4

y 6 5 4 3 2 1

-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x

1 4) y ? - x + 2

2

y 6 5 4 3 2 1

-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x

1 6) y ? x + 5

4

y 6 5 4 3 2 1

-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x

Worksheet by Kuta Software LLC

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7) y ? -x - 2

y 6 5 4 3 2 1

-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x

6 9) y ? - x + 5

5

y 6 5 4 3 2 1

-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x

11) 3x + 5 y < -15

y 6 5 4 3 2 1

-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x

8) y > -7x - 4

y 6 5 4 3 2 1

-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x

10) y ? 2x + 1

y 6 5 4 3 2 1

-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x

12) 3x - 2 y < 2

y 6 5 4 3 2 1

-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x

Worksheet by Kuta Software LLC

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Write the slope-intercept form of the equation of each line.

13)

y 4

14)

y 4

2

2

-5 -4 -3 -2 -1 1 2 3 4 5 x -2 -4

-5 -4 -3 -2 -1 1 2 3 4 5 x -2 -4

15)

y 4 2 -5 -4 -3 -2 -1 1 2 3 4 5 x -2 -4

17)

y 4 2 -5 -4 -3 -2 -1 1 2 3 4 5 x -2 -4

16)

y 4 2 -5 -4 -3 -2 -1 1 2 3 4 5 x -2 -4

18)

y 4 2 -5 -4 -3 -2 -1 1 2 3 4 5 x -2 -4

Worksheet by Kuta Software LLC

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