Is this point a solution of the equation?

Grade 8 Math Worksheet - Challenge Me

NameDate

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

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

    • No
    • Cannot tell without a graph
    • Yes
  2. Ren checks the point (4, 1) on the line 3x − 2y = 10. Is (4, 1) a solution?

    • No
    • Yes
    • Cannot tell without a graph
  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. Zee checks the point (2, 6) on the line 5x − y = 4. Is (2, 6) a solution?

    • Yes
    • Cannot tell without a graph
    • No
  5. Bo checks the point (3, 1) on the line 2x − 5y = 1. Is (3, 1) a solution?

    • No
    • Yes
    • Cannot tell without a graph
  6. Esme's line is y = kx + 1, and the point (2, 7) is a solution. What is k?

  7. Jun's line is y = kx + 5, and the point (3, 17) is a solution. What is k?

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

    • Exactly one point
    • None of them
    • Only the points in the table
    • Infinitely many: every point on the line
  9. Pia's graph is a straight line through (0, 3) and (2, 7). Is the point (5, 13) on the line?

    • No
    • Cannot tell without a graph
    • Yes
  10. Zee's graph is a straight line through (0, -2) and (4, 6). Is the point (7, 12) on the line?

    • No
    • Yes
    • Cannot tell without a graph
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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. Pia checks the point (3, -2) on the line 2x + 3y = 0. Is (3, -2) a solution?

    • No
    • Cannot tell without a graph
    • Yes
  2. Ren checks the point (4, 1) on the line 3x − 2y = 10. Is (4, 1) a solution?

    • No
    • Yes
    • Cannot tell without a graph
  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. Zee checks the point (2, 6) on the line 5x − y = 4. Is (2, 6) a solution?

    • Yes
    • Cannot tell without a graph
    • No
  5. Bo checks the point (3, 1) on the line 2x − 5y = 1. Is (3, 1) a solution?

    • No
    • Yes
    • Cannot tell without a graph
  6. Esme's line is y = kx + 1, and the point (2, 7) is a solution. What is k?

    3
  7. Jun's line is y = kx + 5, and the point (3, 17) is a solution. What is k?

    4
  8. First rows. Noah's line is y = -x + 5. How many points (x, y) are solutions of the equation?

    • Exactly one point
    • None of them
    • Only the points in the table
    • Infinitely many: every point on the line
  9. Pia's graph is a straight line through (0, 3) and (2, 7). Is the point (5, 13) on the line?

    • No
    • Cannot tell without a graph
    • Yes
  10. Zee's graph is a straight line through (0, -2) and (4, 6). Is the point (7, 12) on the line?

    • No
    • Yes
    • Cannot tell without a graph