1. UNIT 6 REVIEW FOR GRAPHING INEQUALITIES TEST
ALGEBRA 1A
UNIT 6
REVIEW FOR GRAPHING INEQUALITIES TEST

2. WHAT IS THE SOLUTION OF AN INEQUALITY?#1
WHAT IS THE SOLUTION OF AN INEQUALITY?
Solution of an inequality are all the ordered pairs (points) that make the inequality true.

3. #2
GRAPH
x - 2y 4

4. #2 answer x - 2y 4 SHADE CORRECT REGION !! (0,1) (6,0) 3 2 1 1 2 3 4 5-1 -2

5. #3
GRAPH
3y - 2x > 9

6. #3 ANSWER 3y - 2x > 9 2 y = x + 3 GRAPH 3 TEST!! (0, 5)6 4 2 1 3 5
(0, 5)
(0,5)
3(5) - 2(0) > 9
> 9
15 > 9
(3,0)

7. # 4 This is a vertical line through the X-axis at -2 y x-4 -2 2 4
Shade everything to
the right of the red line,
everything to the right
of -2 is greater than -2 -2 -4

8. # 5: What can we use to help us match the inequality to its graph?
Look at the equations to see if the lines are going to be dashed or solid. This will tell you if the equations are <,> or
Solve the equations for y (y = mx + b form)
Look at the slope and y-intercept to match with the right graph.
Look to see which direction (above or below) each equation is shaded. (If in the y=mx+b format –if > or shade above the line and if < or shade below the line)

9. #6
Match the inequality to the correct graph. x y

10. #7 Write a system of linear equations that defines the shaded region y
Purple part is the answer.
Write a system of linear equations that defines the shaded region y 4 2 x -4 -2 2 4 -2 -4

11. #8 Write a system of linear equations that defines the shaded region y
Purple part is the answer.
Write a system of linear equations that defines the shaded region y 4 2 x -4 -2 2 4 -2 -4

12. #9 (B) GRAPH (A) -2x + 3y < -6 (B) 5x + 4y < 12 (A) SOLUTION:
Lies where the two shaded
regions intersect each
other.
All order pairs in dark
region are true in both
inequalities. 3 2 4 -1 -2 1 -1 -2

13. #10 y Test point is (0,0) it works, so that side of the line is shaded
Purple part is the answer. y
Test point is (0,0)
it works, so that side
of the line is shaded 4 2 x -4 -2 2 4 -2 -4
Test point (0,0) also works
for this inequality.

14. # 11 y x Purple part is the answer. Test point (0,0) works so4
Test point (0,0) works so
that side of the line is shaded. 2 x -4 -2 2 4
Test point (0,0) also
works for this inequality
so that side is shaded -2 -4

15. #12 Which system of linear inequalities represents the graph?

16. #13 Which system of linear inequalities represents the graph?

17. #14 Which system of linear inequalities represents the graph?