Find where two functions are equal using a graph or table

Answer Key - Grade 9 Math Worksheet

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

1. Read this first

   Use the table

   x	f(x)	g(x)
   0	5	29
   2	11	23
   4	17	17
   6	23	11
   8	29	5

2. 1.

   Ari compares two rockets by height in meters. The table shows f and g. For which input does f(x) = g(x)?

   4
3. 2.

   Bo compares two swings by height in cm. The table shows f and g. For which input does f(x) = g(x)?

   5
4. 3.

   Esme compares two buses by riders on board. The table shows f and g. For which input does f(x) = g(x)?

   10
5. 4.

   Jun's cat and dog each follow a line. The graphs of f (cat) and g (dog) are drawn. For which x is f(x) = g(x)?

   2
6. 5.

   Luz's two ducks follow lines. The graphs of f and g are drawn. For which x is f(x) = g(x)?

   5
7. 6.

   Milo compares two pencil clubs: f(x) = 2x + 3 and g(x) = 5x − 6. Make a table to find x where f(x) = g(x).

   3
8. 7.

   Pia compares two campsites: f(x) = 4x − 3 and g(x) = 2x + 9. Make a table to find x where f(x) = g(x).

   6
9. 8.

   Ren compares two lamp shops: f(x) = 6x − 6 and g(x) = 3x + 15. Make a table to find x where f(x) = g(x).

   7
10. 9.

    Esme graphs two paths of a cloud. The graphs of f and g cross at (3, 7). What is the solution of f(x) = g(x)?

    • x = 7
    • (3, 7)
    • x = 3
11. 10.

    Kira graphs two sled runs. The graphs of f and g cross at (2, 9). What is the solution of f(x) = g(x)?

    • x = 9
    • x = 2
    • (2, 9)