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Grade 9 · Math · Algebra 1

9th grade Find where two functions are equal using a graph or table worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Find where two functions are equal using a graph or table

Grade 9 Math Worksheet - Building Confidence

NameDate

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

  1. Read this first

    Use the table

    xf(x)g(x)
    4513
    5711
    699
    7117
    8135
  2. Ari compares two robots by the stars they collect. The table shows f and g. For which input does f(x) = g(x)?

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

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

  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)?

  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)?

  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)?

  8. Use the table

    xf(x)g(x)
    2118
    3149
    41710
  9. Pia's game scores for two teams are in the table. What is f(3) − g(3)?

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

  11. Tala's two bake sales are in the table. What is f(4) − g(4)?

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

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9th grade Find where two functions are equal using a graph or table worksheet – printable
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About this worksheet

Solving equations with graphs and tables. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the input where two functions have the same output, from tables, graphs and rules.
  • I can say the solution is the x of the crossing, not its height.
  • I can tell when the solution lies between two rows, and how many solutions there are.

Standard: A-REI.D.11

Words to know

solution of f(x) = g(x): An input where f and g give the same output.

gap: f(x) minus g(x). It is 0 at a solution.

intersection: A point where the two graphs meet.

Common mistakes

Your child gave the shared output instead of the input where the two meet.

Your child gave the number of the row instead of its input.

Your child gave the height of the crossing point instead of its x-value.

What to say

Ask: is the solution the number we put in, or the number that comes out?

Ask: what number is in the input column of the matching row?

Ask: in the point (4, 9), which number is x?

Questions parents ask

What is the most common mistake with find where two functions are equal using a graph or table?

Your child gave the shared output instead of the input where the two meet.

How can I help my child with find where two functions are equal using a graph or table?

Ask: is the solution the number we put in, or the number that comes out?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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