Grade 9 · Math · Algebra 1

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

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Find where two functions are equal using a graph or table

Grade 9 Math Worksheet - Challenge Me

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

Tala compares two plants: f(x) = 0.5x + 7 and g(x) = 1.5x − 2. Make a table to find x where f(x) = g(x).
Zee compares two robots: f(x) = 1.5x + 2 and g(x) = 0.5x + 6. Make a table to find x where f(x) = g(x).
Ari compares two bikes: f(x) = 2.5x − 3 and g(x) = 0.5x + 7. Make a table to find x where f(x) = g(x).
Bo compares two swings: f(x) = 1.5x − 3 and g(x) = 0.5x + 5. Make a table to find x where f(x) = g(x).
Read this first
Use the table
x f(x) g(x)
4 3 15
5 7 13
6 12 11
7 14 9
5.
Milo's two plants are in the table (heights in cm). Where is f(x) = g(x)?
- Where the output is 12 in the output column
- Between x = 5 and x = 6
- At x = 6
6.
Noah's two balls are in the table (heights in dm). Where is f(x) = g(x)?
- Between x = 2 and x = 3
- At x = 3
- Where the output is 9 in both columns
Ren's two machines, f and g, are in the table. For how many inputs in the table is f(x) = g(x)?
Tala's two bike riders, f and g, are in the table. For how many inputs in the table is f(x) = g(x)?
Zee's two snack carts, f and g, are in the table. For how many inputs in the table is f(x) = g(x)?
Ari's two plants, f and g, are in the table. For how many inputs in the table is f(x) = g(x)?

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

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

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.

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.

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?

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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