Is this point a solution of the equation?

Answer Key - Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Pia checks the point (3, -2) on the line 2x + 3y = 0. Is (3, -2) a solution?

   • Yes
   • No
   • Cannot tell without a graph
2. 2.

   Ren checks the point (4, 1) on the line 3x − 2y = 10. Is (4, 1) a solution?

   • Cannot tell without a graph
   • No
   • Yes
3. 3.

   Tala checks the point (5, 2) on the line x + 4y = 7. Is (5, 2) a solution?

   • Cannot tell without a graph
   • Yes
   • No
4. 4.

   Zee checks the point (2, 6) on the line 5x − y = 4. Is (2, 6) a solution?

   • No
   • Cannot tell without a graph
   • Yes
5. 5.

   Esme's line is y = kx + 1, and the point (2, 7) is a solution. What is k?

   3
6. 6.

   Luz's line is y = 3x + c, and the point (4, 17) is a solution. What is c?

   5
7. 7.

   First rows. Noah's line is y = -x + 5. How many points (x, y) are solutions of the equation?

   • Infinitely many: every point on the line
   • Only the points in the table
   • None of them
   • Exactly one point
8. 8.

   Ren's graph is a straight line through (0, -1) and (3, 5). Is the point (4, 8) on the line?

   • Cannot tell without a graph
   • No
   • Yes
9. 9.

   Tala's graph is a straight line through (1, 4) and (3, 10). Is the point (6, 18) on the line?

   • No
   • Cannot tell without a graph
   • Yes
10. 10.

    Zee's graph is a straight line through (0, -2) and (4, 6). Is the point (7, 12) on the line?

    • Cannot tell without a graph
    • No
    • Yes