Graph and write a two-variable inequality

Grade 9 Math Worksheet

Circle the best answer.

1. 1.

   Esme sketches a graph. The line is dashed and the part above it is shaded. Which inequality does it show?

   • y > (1/2)x + 2
   • y ≥ 2x + 2
   • y < 2x + 2
   • y > 2x + 2
2. 2.

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

   • y ≥ -3x - 1
   • y ≤ -3x + 2
   • y > -3x + 2
   • y ≥ -3x + 2
3. 3.

   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
4. 4.

   Noah loads x backpacks at 3 kg and y tents at 5 kg into a trailer. The trailer carries at most 24 kg. Which inequality fits?

   • 3x + 5y ≥ 24
   • 3x + 5y ≤ 24
   • 3x + 5y < 24
   • 5x + 3y ≤ 24
5. 5.

   Pia graphs 2x + y ≤ 6. Which description of the graph is right?

   • Dashed line through (0, 6) and (3, 0); shade the side that has (0, 0)
   • Solid line through (0, 6) and (3, 0); shade the side that has (0, 0)
   • Solid line through (0, 3) and (6, 0); shade the side that has (0, 0)
   • Solid line through (0, 6) and (3, 0); shade the side that does not have (0, 0)
6. 6.

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

   • 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)
   • 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)
7. 7.

   Tala graphs 3x + y ≥ 3. Which description of the graph is right?

   • Solid line through (0, 1) and (3, 0); shade the side that does not have (0, 0)
   • Solid line through (0, 3) and (1, 0); shade the side that has (0, 0)
   • Dashed line through (0, 3) and (1, 0); shade the side that does not have (0, 0)
   • Solid line through (0, 3) and (1, 0); shade the side that does not have (0, 0)
8. 8.

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

   • Dashed line through (0, 6) and (2, 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)
   • Dashed line through (0, 2) and (6, 0); shade the side that has (0, 0)
   • Solid line through (0, 2) and (6, 0); shade the side that has (0, 0)
9. 9.

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

   • Solid horizontal line at y = -1; shade above
   • Solid vertical line at x = -1; shade left
   • Dashed horizontal line at y = -1; shade below
   • Solid horizontal line at y = -1; shade below
10. 10.

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

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