Graph and write a two-variable inequality

Grade 9 Math Worksheet - Building Confidence

Circle the best answer.

1. Read this first

   Rule table for the boundary y = -2x + 3

   x	y
   0	3
   1	1
   2	-1
   3	-3

2. 1.

   Jun marks points with a star sticker. Which point is a solution of y ≤ -2x + 3?

   • (3, 2)
   • (1, 4)
   • (2, 5)
   • (2, -3)

3. Boundary rule y = 2x + 1. Rows

   x	y
   0	1
   1	3
   2	5

4. 2.

   Kira graphs for a poster. Which drawing shows y > 2x + 1?

   • Dashed line, shade above
   • Solid line, shade above
   • Dashed line, shade below
   • Solid line, shade below

5. Boundary rule y = -3x + 4. Rows

   x	y
   0	4
   1	1
   2	-2

6. 3.

   Luz graphs for a science fair. Which drawing shows y ≤ -3x + 4?

   • Solid line, shade below
   • Dashed line, shade below
   • Dashed line, shade above
   • Solid line, shade above

7. Boundary rule y = 2x - 5. Rows

   x	y
   0	-5
   1	-3
   2	-1

8. 4.

   Milo graphs on a whiteboard. Which drawing shows 2x - 5 < y?

   • Solid line, shade above
   • Dashed line, shade below
   • Dashed line, shade above
   • Solid line, shade below

9. Boundary rule y = -x + 4. Rows

   x	y
   0	4
   1	3
   2	2

10. 5.

    Noah graphs on a tablet. Which drawing shows 4 - x ≥ y?

    • Solid line, shade below
    • Solid line, shade above
    • Dashed line, shade below
    • Dashed line, shade above

11. Rule table for y = 3x - 2

    x	y
    0	-2
    1	1
    2	4
    3	7
    4	10

12. 6.

    Pia plots a point beside a rule. The rule is y = 3x - 2 and the point is (2, 7). Where is the point?

    • On the line
    • Above the line
    • Below the line

13. Rule table for y = 2x + 1

    x	y
    0	1
    1	3
    2	5
    3	7
    4	9

14. 7.

    Ren plots a point beside a rule. The rule is y = 2x + 1 and the point is (4, 5). Where is the point?

    • On the line
    • Below the line
    • Above the line

15. Rule table for y = -x + 6

    x	y
    0	6
    1	5
    2	4
    3	3
    4	2

16. 8.

    Tala plots a point beside a rule. The rule is y = -x + 6 and the point is (2, 7). Where is the point?

    • On the line
    • Below the line
    • Above the line

17. Rule table for y = -2x + 10

    x	y
    0	10
    1	8
    2	6
    3	4
    4	2

18. 9.

    Ari plots a point beside a rule. The rule is y = -2x + 10 and the point is (4, 3). Where is the point?

    • Above the line
    • On the line
    • Below the line

19. Rule table for y = x + 3

    x	y
    0	3
    1	4
    2	5
    3	6
    4	7

20. 10.

    Bo plots a point beside a rule. The rule is y = x + 3 and the point is (2, 5). Where is the point?

    • Above the line
    • On the line
    • Below the line