Download Graphing Linear Inequalities

A 3-1
Name _________________________________ Date _________________ Period _____
Graphing Linear Inequalities
Graph the following linear inequalities.
1. x  4
2. 6y – 12 < 0
3. 3x – 4y < -24
4. x – y  -2
5. 6x – y < 3
6. x + 2y < 7
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7. 7x – 7y > -21
8. 2x + 4y < -8
_______9. Which of the following does not represent the functional relationship in the table?
Distance from Home (mi)
Hours Traveled
0
1
2
3
250
195
140
85
A. y = 250 – 55x
B. The travelers begin 250 miles away
from home, and they travel toward
home at 55 miles per hour.
C.
D.
250
225
200
175
150
125
Distance from
Home (mi)
Distance from
Home (mi)
250
225
100
75
50
25
200
175
150
125
100
75
50
25
0
1
2
3
Hours Traveled
4
0
1
2
3
Hours Traveled
4
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_______10. Which equation describes the data in the table?
x
-7
-2
3
8
A.
B.
C.
D.
E.
y
-10
-5
0
5
x + y = -7
x–y=3
x – y = -5
2x – y = 1
3x – y = -1
_______11. The graph of the function y = -2x + 4 is shown below.
If the line is translated 2 units up, which equation will best
describe the new line?
A.
B.
C.
D.
E.
x+y=4
2x + y = 6
x – y = -4
x+y =2
2x + y = 2
_______12. Which of the following equations represents a graph that is parallel to the graph of
the equation 8x +2y = 10 and that has a y-intercept of 8?
A.
B.
C.
D.
4x – y = -5
4x + y = 8
8x – 2y = 10
8x + 2y = 4
_______13. Which graph best represents the inequality x – y  -6?
A.
C.
B.
D.
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