Pre-Algebra 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.

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Pick more than one for a sheet that mixes them.



Sigma Prep · sigmaprep.io/worksheets Name Linear, Quadratic or Exponential Date Period Answer each question. $\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 2 & 4 & 8 \end{array} \end{aligned}$ $\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 5 & 25 & 125 \end{array} \end{aligned}$ A pool drains 100 gallons every minute. Linear or exponential? $\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 3 & 9 & 27 \end{array} \end{aligned}$ $\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 3 & 9 & 27 \end{array} \end{aligned}$ A plant grows 3 centimeters every week. Linear or exponential? $\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 4 & 5 & 6 & 7 \end{array} \end{aligned}$ $\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 7 & 10 & 13 & 16 \end{array} \end{aligned}$ A car loses 2% of its value each year. Linear or exponential? $\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 7 & 11 & 15 & 19 \end{array} \end{aligned}$ $\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 6 & 8 & 10 & 12 \end{array} \end{aligned}$ The amount of a medicine in the blood is cut in half every 6 hours. Linear or exponential? $\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 5 & 25 & 125 \end{array} \end{aligned}$ $\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 6 & 11 & 16 \end{array} \end{aligned}$ A car loses 5% of its value each year. Linear or exponential? $\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 5 & 10 & 15 & 20 \end{array} \end{aligned}$ $\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 0 & 2 & 4 & 6 \end{array} \end{aligned}$ A savings account gets $55 added to it each month. Linear or exponential? $\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 4 & 16 & 64 \end{array} \end{aligned}$ $\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 8 & 9 & 10 & 11 \end{array} \end{aligned}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Linear, Quadratic or Exponential

Date Period

Answer each question.

$\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 2 & 4 & 8 \end{array} \end{aligned}$
$\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 5 & 25 & 125 \end{array} \end{aligned}$
A pool drains 100 gallons every minute. Linear or exponential?
$\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 3 & 9 & 27 \end{array} \end{aligned}$
$\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 3 & 9 & 27 \end{array} \end{aligned}$
A plant grows 3 centimeters every week. Linear or exponential?
$\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 4 & 5 & 6 & 7 \end{array} \end{aligned}$
$\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 7 & 10 & 13 & 16 \end{array} \end{aligned}$
A car loses 2% of its value each year. Linear or exponential?
$\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 7 & 11 & 15 & 19 \end{array} \end{aligned}$
$\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 6 & 8 & 10 & 12 \end{array} \end{aligned}$
The amount of a medicine in the blood is cut in half every 6 hours. Linear or exponential?
$\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 5 & 25 & 125 \end{array} \end{aligned}$
$\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 6 & 11 & 16 \end{array} \end{aligned}$
A car loses 5% of its value each year. Linear or exponential?
$\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 5 & 10 & 15 & 20 \end{array} \end{aligned}$
$\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 0 & 2 & 4 & 6 \end{array} \end{aligned}$
A savings account gets $55 added to it each month. Linear or exponential?
$\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 4 & 16 & 64 \end{array} \end{aligned}$
$\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 8 & 9 & 10 & 11 \end{array} \end{aligned}$



Sigma Prep · sigmaprep.io/worksheets Name Linear, Quadratic or ExponentialAnswer keyVersion 1 Date Period Answer each question. $\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 2 & 4 & 8 \end{array} \end{aligned}$ Exponential $\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 5 & 25 & 125 \end{array} \end{aligned}$ $y = 5^{x}$ A pool drains 100 gallons every minute. Linear or exponential?Linear $\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 3 & 9 & 27 \end{array} \end{aligned}$ Exponential $\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 3 & 9 & 27 \end{array} \end{aligned}$ $y = 3^{x}$ A plant grows 3 centimeters every week. Linear or exponential?Linear $\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 4 & 5 & 6 & 7 \end{array} \end{aligned}$ Linear $\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 7 & 10 & 13 & 16 \end{array} \end{aligned}$ $y = 3 x + 7$ A car loses 2% of its value each year. Linear or exponential?Exponential $\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 7 & 11 & 15 & 19 \end{array} \end{aligned}$ Linear $\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 6 & 8 & 10 & 12 \end{array} \end{aligned}$ $y = 2 x + 6$ The amount of a medicine in the blood is cut in half every 6 hours. Linear or exponential?Exponential $\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 5 & 25 & 125 \end{array} \end{aligned}$ Exponential $\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 6 & 11 & 16 \end{array} \end{aligned}$ $y = 5 x + 1$ A car loses 5% of its value each year. Linear or exponential?Exponential $\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 5 & 10 & 15 & 20 \end{array} \end{aligned}$ Linear $\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 0 & 2 & 4 & 6 \end{array} \end{aligned}$ $y = 2 x$ A savings account gets $55 added to it each month. Linear or exponential?Linear $\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 4 & 16 & 64 \end{array} \end{aligned}$ Exponential $\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 8 & 9 & 10 & 11 \end{array} \end{aligned}$ $y = x + 8$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Linear, Quadratic or ExponentialAnswer keyVersion 1

Date Period

Answer each question.

$\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 2 & 4 & 8 \end{array} \end{aligned}$ Exponential
$\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 5 & 25 & 125 \end{array} \end{aligned}$ $y = 5^{x}$
A pool drains 100 gallons every minute. Linear or exponential?Linear
$\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 3 & 9 & 27 \end{array} \end{aligned}$ Exponential
$\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 3 & 9 & 27 \end{array} \end{aligned}$ $y = 3^{x}$
A plant grows 3 centimeters every week. Linear or exponential?Linear
$\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 4 & 5 & 6 & 7 \end{array} \end{aligned}$ Linear
$\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 7 & 10 & 13 & 16 \end{array} \end{aligned}$ $y = 3 x + 7$
A car loses 2% of its value each year. Linear or exponential?Exponential
$\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 7 & 11 & 15 & 19 \end{array} \end{aligned}$ Linear
$\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 6 & 8 & 10 & 12 \end{array} \end{aligned}$ $y = 2 x + 6$
The amount of a medicine in the blood is cut in half every 6 hours. Linear or exponential?Exponential
$\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 5 & 25 & 125 \end{array} \end{aligned}$ Exponential
$\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 6 & 11 & 16 \end{array} \end{aligned}$ $y = 5 x + 1$
A car loses 5% of its value each year. Linear or exponential?Exponential
$\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 5 & 10 & 15 & 20 \end{array} \end{aligned}$ Linear
$\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 0 & 2 & 4 & 6 \end{array} \end{aligned}$ $y = 2 x$
A savings account gets $55 added to it each month. Linear or exponential?Linear
$\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 4 & 16 & 64 \end{array} \end{aligned}$ Exponential
$\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 8 & 9 & 10 & 11 \end{array} \end{aligned}$ $y = x + 8$

How to do these

Linear, quadratic or exponential? $\begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 3 & 6 & 12 & 24 \end{array}$

The differences are 3, 6, 12: not constant, so not linear.
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: $\begin{aligned} e x t L i n e a r, q u a d r a t i c o r e x p o n e n t i a l ? \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 4 & 16 & 64 \end{array} \end{aligned}$ → Exponential
Write the rule from the table: $\begin{aligned} e x t W r i t e t h e r u l e f o r t h e t a b l e \\ \begin{array}{ccccc} x & 0 & 1 & 2 & 3 \\ y & 1 & 4 & 16 & 64 \end{array} \end{aligned}$ → $y = 4^{x}$
Linear or exponential, from a description: The amount of a medicine in the blood is cut in half every 6 hours. Linear or exponential? → Exponential

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.

Pre-Algebra is usually taken around 7th or 8th 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 3: linear, quadratic or exponential, write the rule from the table and linear or exponential, from a description. 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.

Pre-Algebra linear, quadratic or exponential worksheet

Select your difficulty

Linear, Quadratic or Exponential

Linear, Quadratic or ExponentialAnswer keyVersion 1

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

Are these linear, quadratic or exponential worksheets free?+

Do the linear, quadratic or exponential worksheets come with an answer key?+

Are these linear, quadratic or exponential worksheets printable?+

What grade are these linear, quadratic or exponential worksheets for?+

Can I get a different version of the same linear, quadratic or exponential worksheet?+

Is this a free alternative to Kuta Software for linear, quadratic or exponential?+

Can I choose how hard the linear, quadratic or exponential questions are?+

What kinds of question are on a linear, quadratic or exponential worksheet?+

What do students get wrong with linear, quadratic or exponential?+