Worksheets · Algebra 1

Linear, quadratic or exponential worksheet

With x going up by 1 each time, look at how y changes. If y goes up by the same amount every step, the table is linear. If the change itself changes by a constant, it is quadratic. If y is multiplied by the same number every step, it is exponential.

Select your difficulty

Pick more than one for a sheet that mixes them.

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

Sigma Prep · sigmaprep.io/worksheets

Name

Linear, Quadratic or Exponential

Date Period

Use each table.

  1.  extLinear,quadraticorexponential?x−2−101y126612
  2.  extWritetheruleforthetablex1234y−8−15−26−41
  3.  extLinear,quadraticorexponential?x−2−101y−11−4−3−8
  4.  extWritetheruleforthetablex1234y20−4−10
  5.  extLinear,quadraticorexponential?x0123y420100500
  6.  extWritetheruleforthetablex1234y−5−8−11−14
  7.  extLinear,quadraticorexponential?x−2−101y−17−12−7−2
  8.  extWritetheruleforthetablex−2−101y−19−12−52
  9.  extLinear,quadraticorexponential?x0123y392781
  10.  extWritetheruleforthetablex0123y52080320
  11.  extLinear,quadraticorexponential?x0123y5102040
  12.  extWritetheruleforthetablex1234y−8−16−24−32
  13.  extLinear,quadraticorexponential?x0123y141664
  14.  extWritetheruleforthetablex0123y5102040
  15.  extLinear,quadraticorexponential?x−2−101y−4022
  16.  extWritetheruleforthetablex0123y24816
  17.  extLinear,quadraticorexponential?x1234y1−1−3−5
  18.  extWritetheruleforthetablex−1012y−10−6−4−4
  19.  extLinear,quadraticorexponential?x0123y681012
  20.  extWritetheruleforthetablex1234y−251219

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

Sigma Prep · sigmaprep.io/worksheets

Name

Linear, Quadratic or ExponentialAnswer keyVersion 1

Date Period

Use each table.

  1.  extLinear,quadraticorexponential?x−2−101y126612Quadratic
  2.  extWritetheruleforthetablex1234y−8−15−26−41y=−2x2−x−5
  3.  extLinear,quadraticorexponential?x−2−101y−11−4−3−8Quadratic
  4.  extWritetheruleforthetablex1234y20−4−10y=−x2+x+2
  5.  extLinear,quadraticorexponential?x0123y420100500Exponential
  6.  extWritetheruleforthetablex1234y−5−8−11−14y=−3x−2
  7.  extLinear,quadraticorexponential?x−2−101y−17−12−7−2Linear
  8.  extWritetheruleforthetablex−2−101y−19−12−52y=7x−5
  9.  extLinear,quadraticorexponential?x0123y392781Exponential
  10.  extWritetheruleforthetablex0123y52080320y=5⋅4x
  11.  extLinear,quadraticorexponential?x0123y5102040Exponential
  12.  extWritetheruleforthetablex1234y−8−16−24−32y=−8x
  13.  extLinear,quadraticorexponential?x0123y141664Exponential
  14.  extWritetheruleforthetablex0123y5102040y=5⋅2x
  15.  extLinear,quadraticorexponential?x−2−101y−4022Quadratic
  16.  extWritetheruleforthetablex0123y24816y=2⋅2x
  17.  extLinear,quadraticorexponential?x1234y1−1−3−5Linear
  18.  extWritetheruleforthetablex−1012y−10−6−4−4y=−x2+3x−6
  19.  extLinear,quadraticorexponential?x0123y681012Linear
  20.  extWritetheruleforthetablex1234y−251219y=7x−9

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

How to do these

Linear, quadratic or exponential?x0123y361224

  1. The differences are 3, 6, 12: not constant, so not linear.
  2. Each y is double the one before.

The answer is Exponential.

Where students go wrong

Calling a table exponential because it grows fast. Quadratic tables grow fast too; only a constant ratio makes it exponential.

Also called comparing function types, identifying functions from tables, first and second differences or common ratio.

What you can put on this worksheet

Linear, quadratic or exponential
 extLinear,quadraticorexponential?x0123y141664 → Exponential
Write the rule from the table
 extWritetheruleforthetablex0123y141664 → y=4x

Questions about these worksheets

Yes. Every linear, quadratic or exponential 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 linear, quadratic or exponential 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 two 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 2: linear, quadratic or exponential and write the rule from the table. Tick as many as you want and set how many of each, or let it spread them evenly.

Calling a table exponential because it grows fast. Quadratic tables grow fast too; only a constant ratio makes it exponential.