Worksheets · Algebra 1

Algebra 1 function tables worksheet

A function table lists inputs and the outputs a rule gives them. To complete one, put each input into the rule. To find the rule, see how much y changes each time x goes up by 1; that is the multiplier, and the starting value tells you what to add.

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Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Function Tables

Date Period

Complete each table or write each rule.

  1. Complete the table for y=x+1x3456y????
  2. Write the rule for the tablex1234y57911
  3. Use the table to find f(0)+f(−2)x−2−10123f(x)−10−7−2−5−7
  4. Complete the table for y=2x−6x−3−2−10y????
  5. Write the rule for the tablex−2−101y151173
  6. Use the table to find f(3)−f(−1)x−2−10123f(x)15−64−15
  7. Complete the table for y=−2x−2x−2−101y????
  8. Write the rule for the tablex−3−2−10y171272
  9. Use the table to find f(0)−f(−1)x−2−1012f(x)27−594
  10. Complete the table for y=6x+4x3456y????
  11. Write the rule for the tablex−3−2−10y−28−22−16−10
  12. Use the table to find f(−1)−f(1)x−1012f(x)7084
  13. Complete the table for y=−6x−6x−1012y????
  14. Write the rule for the tablex0123y−4−7−10−13
  15. Use the table to find f(0)+f(3)x−10123f(x)−867−4−6
  16. Complete the table for y=−4x+1x−1012y????
  17. Write the rule for the tablex−2−101y−9−10−11−12
  18. Use the table to find f(0)−f(3)x−10123f(x)−700−56
  19. Complete the table for y=x−6x−3−2−10y????
  20. Write the rule for the tablex2345y10121416

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Function TablesAnswer keyVersion 1

Date Period

Complete each table or write each rule.

  1. Complete the table for y=x+1x3456y????4, 5, 6, 7
  2. Write the rule for the tablex1234y57911y=2x+3
  3. Use the table to find f(0)+f(−2)x−2−10123f(x)−10−7−2−5−7−8
  4. Complete the table for y=2x−6x−3−2−10y????−12, −10, −8, −6
  5. Write the rule for the tablex−2−101y151173y=−4x+7
  6. Use the table to find f(3)−f(−1)x−2−10123f(x)15−64−150
  7. Complete the table for y=−2x−2x−2−101y????2, 0, −2, −4
  8. Write the rule for the tablex−3−2−10y171272y=−5x+2
  9. Use the table to find f(0)−f(−1)x−2−1012f(x)27−594−12
  10. Complete the table for y=6x+4x3456y????22, 28, 34, 40
  11. Write the rule for the tablex−3−2−10y−28−22−16−10y=6x−10
  12. Use the table to find f(−1)−f(1)x−1012f(x)7084−1
  13. Complete the table for y=−6x−6x−1012y????0, −6, −12, −18
  14. Write the rule for the tablex0123y−4−7−10−13y=−3x−4
  15. Use the table to find f(0)+f(3)x−10123f(x)−867−4−60
  16. Complete the table for y=−4x+1x−1012y????5, 1, −3, −7
  17. Write the rule for the tablex−2−101y−9−10−11−12y=−x−11
  18. Use the table to find f(0)−f(3)x−10123f(x)−700−56−6
  19. Complete the table for y=x−6x−3−2−10y????−9, −8, −7, −6
  20. Write the rule for the tablex2345y10121416y=2x+6

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

y=3x−2; x=0,1,2

  1. 0 gives 3(0) - 2 = -2.
  2. 1 gives 3(1) - 2 = 1.
  3. 2 gives 3(2) - 2 = 4.

The answer is −2,1,4.

Where students go wrong

Using only the change between outputs as the rule: y goes up by 3 each step, but y = 3x is wrong unless the table also starts at 0.

Also called function tables, input output tables, in and out tables or function table rule.

What you can put on this worksheet

Complete the table from the rule
Complete the table for y=3x+7
x0123y???? → 7, 10, 13, 16
Write the rule from the table
Write the rule for the table
x0123y691215 → y=3x+6
From a table
Use the table to find f(3)
x−10123f(x)4−801−5 → −5

Questions about these worksheets

Yes. Every function tables sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Algebra 1 is usually taken around 8th or 9th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the function tables questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 3: complete the table from the rule, write the rule from the table and from a table. Tick as many as you want and set how many of each, or let it spread them evenly.

Using only the change between outputs as the rule: y goes up by 3 each step, but y = 3x is wrong unless the table also starts at 0.