Is this point a solution of the equation?

Answer Key - Grade 8 Math Worksheet - Building Confidence

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

1. 1.

   The rule is y = 2 × x + 3. Milo's line is y = 2x + 3. The point (4, ?) is on the line. What number goes in place of the ?

   11
2. 2.

   The rule is y = 3 × x + 5. Pia's line is y = 3x + 5. The point (4, ?) is on the line. What number goes in place of the ?

   17
3. 3.

   The rule is y = 7 × x + 2. Ren's line is y = 7x + 2. The point (3, ?) is on the line. What number goes in place of the ?

   23
4. 4.

   From 2 × 3 + 5 = 11. Tala wonders whether (3, 11) is a solution of y = 2x + 5. The figure shows what the rule gives for x = 3. Is it a solution?

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

   From 3 × 4 + 2 = 14. Zee wonders whether (4, 12) is a solution of y = 3x + 2. The figure shows what the rule gives for x = 4. Is it a solution?

   • No
   • Cannot tell without a graph
   • Yes
6. 6.

   From 4 × 2 + 1 = 9. Ari wonders whether (2, 9) is a solution of y = 4x + 1. The figure shows what the rule gives for x = 2. Is it a solution?

   • Cannot tell without a graph
   • Yes
   • No
7. 7.

   From 5 × 2 + 3 = 13. Bo wonders whether (2, 10) is a solution of y = 5x + 3. The figure shows what the rule gives for x = 2. Is it a solution?

   • Yes
   • Cannot tell without a graph
   • No

8. Read this first

   Input–output table

   x	y
   0	1
   1	3
   2	5
   3	7
   4	9

   Rows from the rule.

9. 8.

   Esme's line is y = 2x + 1. The table shows rows of the rule. Which point is a solution?

   • (7, 3)
   • (3, 3)
   • (3, 7)
   • (3, 5)
10. 9.

    Kira's line is y = 5x + 1. The table shows rows of the rule. Which point is a solution?

    • (16, 3)
    • (3, 3)
    • (3, 11)
    • (3, 16)
11. 10.

    Luz's line is y = 4x + 3. The table shows rows of the rule. Which point is a solution?

    • (1, 7)
    • (7, 1)
    • (1, 3)
    • (1, 1)