Graph and write a two-variable inequality

Grade 9 Math Worksheet

Circle the best answer.

1. 1.

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

   • y ≤ 2x + 4
   • y < -2x + 4
   • y ≥ -2x + 4
   • y ≤ -2x + 4
2. 2.

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

   • y < 2x + 2
   • y > 2x + 2
   • y ≤ 2x + 2
   • y < 2x + 4
3. 3.

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

   • y ≤ -3x + 2
   • y > -3x + 2
   • y ≥ -3x + 2
   • y ≥ -3x - 1
4. 4.

   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
5. 5.

   Pia buys x stickers at $2 and y bookmarks at $3. Pia can spend at most $30. Which inequality fits?

   • 2x + 3y ≤ 30
   • 2x + 3y < 30
   • 2x + 3y ≥ 30
   • 3x + 2y ≤ 30
6. 6.

   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
   • 5x + 3y ≤ 24
   • 3x + 5y < 24
7. 7.

   Luz wins x small prizes worth 5 points and y big prizes worth 10 points. Luz needs at least 60 points. Which inequality fits?

   • 5x + 10y > 60
   • 5x + 10y ≤ 60
   • 10x + 5y ≥ 60
   • 5x + 10y ≥ 60
8. 8.

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

   • Dashed 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)
   • 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)
9. 9.

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

   • Dashed horizontal line at y = 2; shade above
   • Solid vertical line at x = 2; shade right
   • Dashed vertical line at x = 2; shade left
   • Dashed vertical line at x = 2; shade right
10. 10.

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

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