Find where two functions are equal using a graph or table

Answer Key - Grade 9 Math Worksheet - Building Confidence

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

1. Read this first

   Use the table

   x	f(x)	g(x)
   4	5	13
   5	7	11
   6	9	9
   7	11	7
   8	13	5

2. 1.

   Ari compares two robots by the stars they collect. The table shows f and g. For which input does f(x) = g(x)?

   6
3. 2.

   Esme compares two bike riders by the km ridden. The table shows f and g. For which input does f(x) = g(x)?

   8
4. 3.

   Jun compares two savings jars by dollars. The table shows f and g. For which input does f(x) = g(x)?

   30
5. 4.

   Kira's two cloud paths are the graphs of f and g. They cross at the point (4, 9). What is the solution of f(x) = g(x)?

   4
6. 5.

   Luz's two kite strings are the graphs of f and g. They cross at the point (3, 12). What is the solution of f(x) = g(x)?

   3
7. 6.

   Milo's two sled runs are the graphs of f and g. They cross at the point (5, 7). What is the solution of f(x) = g(x)?

   5
8. 7.

   Noah's two tree growths are the graphs of f and g. They cross at the point (6, 20). What is the solution of f(x) = g(x)?

   6

9. Use the table

   x	f(x)	g(x)
   2	11	8
   3	14	9
   4	17	10

10. 8.

    Pia's game scores for two teams are in the table. What is f(3) − g(3)?

    5
11. 9.

    Ren's two ball games are in the table. What is f(2) − g(2)?

    -5
12. 10.

    Zee's two kites are in the table (heights in meters). What is f(6) − g(6)?

    -8