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 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
5. 5.

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

   • 3x + 2y ≤ 30
   • 2x + 3y ≥ 30
   • 2x + 3y ≤ 30
   • 2x + 3y < 30
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
   • 4x + 6y ≥ 50
   • 4x + 6y > 50
   • 6x + 4y > 50
7. 7.

   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?

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

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

   • Solid line through (0, 3) and (1, 0); shade the side that does not have (0, 0)
   • Solid line through (0, 1) and (3, 0); shade the side that does not have (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 has (0, 0)
9. 9.

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

   • Solid vertical line at x = 2; shade right
   • Dashed horizontal line at y = 2; shade above
   • Dashed vertical line at x = 2; shade right
   • Dashed vertical line at x = 2; shade left
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 vertical line at x = -3; shade left
    • Solid vertical line at x = -3; shade left
    • Dashed horizontal line at y = -3; shade below