Graph and write a two-variable inequality

Grade 9 Math Worksheet

Circle the best answer.

1. 1.

   Milo draws a graph. The line is dashed and the part below it is shaded. Which inequality does it show?

   • y < 3x + 5
   • y ≤ -3x + 5
   • y > -3x + 5
   • y < -3x + 5
2. 2.

   Noah plots a graph. The line is solid and the part above it is shaded. Which inequality does it show?

   • y ≥ 3x - 4
   • y ≤ 3x - 4
   • y ≥ (1/3)x - 4
   • y > 3x - 4
3. 3.

   Ren plans x walking blocks at 8 minutes each and y biking blocks at 3 minutes each. The trip takes fewer than 40 minutes. Which inequality fits?

   • 3x + 8y < 40
   • 8x + 3y > 40
   • 8x + 3y < 40
   • 8x + 3y ≤ 40
4. 4.

   Ren graphs x + 2y > 4. Which description of the graph is right?

   • Dashed line through (0, 4) and (2, 0); shade the side that does not have (0, 0)
   • Dashed line through (0, 2) and (4, 0); shade the side that has (0, 0)
   • Solid line through (0, 2) and (4, 0); shade the side that does not have (0, 0)
   • Dashed line through (0, 2) and (4, 0); shade the side that does not have (0, 0)
5. 5.

   Zee graphs x + 3y < 6. Which description of the graph is right?

   • Dashed line through (0, 2) and (6, 0); shade the side that has (0, 0)
   • Dashed line through (0, 2) and (6, 0); shade the side that does not have (0, 0)
   • Solid line through (0, 2) and (6, 0); shade the side that has (0, 0)
   • Dashed line through (0, 6) and (2, 0); shade the side that has (0, 0)
6. 6.

   Ari graphs 2x + 5y ≥ 10. Which description of the graph is right?

   • Solid line through (0, 2) and (5, 0); shade the side that has (0, 0)
   • Solid line through (0, 2) and (5, 0); shade the side that does not have (0, 0)
   • Solid line through (0, 5) and (2, 0); shade the side that does not have (0, 0)
   • Dashed line through (0, 2) and (5, 0); shade the side that does not have (0, 0)
7. 7.

   Bo graphs x > 2 on a grid. Which description of the graph is right?

   • Solid vertical line at x = 2; shade right
   • Dashed vertical line at x = 2; shade right
   • Dashed vertical line at x = 2; shade left
   • Dashed horizontal line at y = 2; shade above
8. 8.

   Esme graphs y ≤ -1 on a grid. Which description of the graph is right?

   • Dashed horizontal line at y = -1; shade below
   • Solid vertical line at x = -1; shade left
   • Solid horizontal line at y = -1; shade above
   • Solid horizontal line at y = -1; shade below
9. 9.

   Jun graphs x < -3 on a grid. Which description of the graph is right?

   • Solid vertical line at x = -3; shade left
   • Dashed vertical line at x = -3; shade left
   • Dashed horizontal line at y = -3; shade below
   • Dashed vertical line at x = -3; shade right
10. 10.

    Kira graphs y ≥ 7 on a grid. Which description of the graph is right?

    • Solid horizontal line at y = 7; shade above
    • Solid horizontal line at y = 7; shade below
    • Solid vertical line at x = 7; shade right
    • Dashed horizontal line at y = 7; shade above