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

NameDate

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

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
Ari compares two rockets by height in meters. The table shows f and g. For which input does f(x) = g(x)?
Bo compares two swings by height in cm. The table shows f and g. For which input does f(x) = g(x)?
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)?
Kira's two bells follow lines. The graphs of f and g are drawn. For which x is f(x) = g(x)?
Luz's two ducks follow lines. The graphs of f and g are drawn. For which x is f(x) = g(x)?
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).
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).
8.
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 = 3
- (3, 7)
- x = 7
9.
Jun graphs two kites. The graphs of f and g cross at (5, 12). What is the solution of f(x) = g(x)?
- (5, 12)
- x = 5
- x = 12
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)

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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