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.

   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.

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

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

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

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

   • 10x + 5y ≥ 60
   • 5x + 10y > 60
   • 5x + 10y ≤ 60
   • 5x + 10y ≥ 60
6. 6.

   Zee earns $4 for each of x dog walks and $6 for each of y car washes. Zee wants to earn more than $50. Which inequality fits?

   • 4x + 6y ≥ 50
   • 6x + 4y > 50
   • 4x + 6y > 50
   • 4x + 6y < 50
7. 7.

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

   • Solid line through (0, 3) and (6, 0); shade the side that has (0, 0)
   • 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, 6) and (3, 0); shade the side that does not have (0, 0)
8. 8.

   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 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)
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 horizontal line at y = -3; shade below
   • Dashed vertical line at x = -3; shade right
   • Dashed vertical line at x = -3; shade left
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 vertical line at x = 7; shade right
    • Solid horizontal line at y = 7; shade below
    • Dashed horizontal line at y = 7; shade above