Pre-Algebra simplifying expressions worksheet

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Pick more than one for a sheet that mixes them.



Sigma Prep · sigmaprep.io/worksheets Name Simplifying Expressions Date Period Simplify each expression. $9 a - 6 - 9$ $5 (- 2 p - 5)$ $- 7 p - p + 8 p$ $3 (2 b + 7)$ $9 r + 2 r - 3 r$ $7 (- n + 2)$ $- 9 - 3 + 9$ $9 (- a + 12)$ $5 k + 2 + 2$ $3 (- 3 y - 2)$ $1 + 3 - 9 a$ $3 (- 2 b + 7)$ $- 7 n - 5 - 8$ $9 (- 2 b + 11)$ $- 7 - 3 + 8$ $2 (3 b - 5)$ $8 k + 3 - 2 k$ $9 (- b + 2)$ $- 3 + 3 x + 4$ $4 (8 a - 7)$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Simplifying Expressions

Date Period

Simplify each expression.

$9 a - 6 - 9$
$5 (- 2 p - 5)$
$- 7 p - p + 8 p$
$3 (2 b + 7)$
$9 r + 2 r - 3 r$
$7 (- n + 2)$
$- 9 - 3 + 9$
$9 (- a + 12)$
$5 k + 2 + 2$
$3 (- 3 y - 2)$
$1 + 3 - 9 a$
$3 (- 2 b + 7)$
$- 7 n - 5 - 8$
$9 (- 2 b + 11)$
$- 7 - 3 + 8$
$2 (3 b - 5)$
$8 k + 3 - 2 k$
$9 (- b + 2)$
$- 3 + 3 x + 4$
$4 (8 a - 7)$



Sigma Prep · sigmaprep.io/worksheets Name Simplifying ExpressionsAnswer keyVersion 1 Date Period Simplify each expression. $9 a - 6 - 9$ $9 a - 15$ $5 (- 2 p - 5)$ $- 10 p - 25$ $- 7 p - p + 8 p$ $0$ $3 (2 b + 7)$ $6 b + 21$ $9 r + 2 r - 3 r$ $8 r$ $7 (- n + 2)$ $- 7 n + 14$ $- 9 - 3 + 9$ $- 3$ $9 (- a + 12)$ $- 9 a + 108$ $5 k + 2 + 2$ $5 k + 4$ $3 (- 3 y - 2)$ $- 9 y - 6$ $1 + 3 - 9 a$ $- 9 a + 4$ $3 (- 2 b + 7)$ $- 6 b + 21$ $- 7 n - 5 - 8$ $- 7 n - 13$ $9 (- 2 b + 11)$ $- 18 b + 99$ $- 7 - 3 + 8$ $- 2$ $2 (3 b - 5)$ $6 b - 10$ $8 k + 3 - 2 k$ $6 k + 3$ $9 (- b + 2)$ $- 9 b + 18$ $- 3 + 3 x + 4$ $3 x + 1$ $4 (8 a - 7)$ $32 a - 28$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Simplifying ExpressionsAnswer keyVersion 1

Date Period

Simplify each expression.

$9 a - 6 - 9$ $9 a - 15$
$5 (- 2 p - 5)$ $- 10 p - 25$
$- 7 p - p + 8 p$ $0$
$3 (2 b + 7)$ $6 b + 21$
$9 r + 2 r - 3 r$ $8 r$
$7 (- n + 2)$ $- 7 n + 14$
$- 9 - 3 + 9$ $- 3$
$9 (- a + 12)$ $- 9 a + 108$
$5 k + 2 + 2$ $5 k + 4$
$3 (- 3 y - 2)$ $- 9 y - 6$
$1 + 3 - 9 a$ $- 9 a + 4$
$3 (- 2 b + 7)$ $- 6 b + 21$
$- 7 n - 5 - 8$ $- 7 n - 13$
$9 (- 2 b + 11)$ $- 18 b + 99$
$- 7 - 3 + 8$ $- 2$
$2 (3 b - 5)$ $6 b - 10$
$8 k + 3 - 2 k$ $6 k + 3$
$9 (- b + 2)$ $- 9 b + 18$
$- 3 + 3 x + 4$ $3 x + 1$
$4 (8 a - 7)$ $32 a - 28$

How to do these

$4 x + 3 - 2 x + 7$

The x terms go together: 4x - 2x is 2x.
The numbers go together: 3 + 7 is 10.

The answer is $2 x + 10$ .

Where students go wrong

Adding terms that are not alike. 4x + 3 is not 7x, and x² and x never combine however similar they look. The other one is dropping a minus while collecting: in 4x + 3 - 2x the sign in front of a term belongs to it.

Also called combining like terms, the distributive property or collecting like terms.

What you can put on this worksheet

Collecting like terms: $1 + 3 v - 8$ → $3 v - 7$
Expanding a parenthesis: $6 (- 6 v + 1)$ → $- 36 v + 6$

Questions about these worksheets

Yes. Every simplifying expressions 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 simplifying expressions 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 2: collecting like terms and expanding a parenthesis. Tick as many as you want and set how many of each, or let it spread them evenly.

Pre-Algebra simplifying expressions worksheet

Select your difficulty

Simplifying Expressions

Simplifying ExpressionsAnswer keyVersion 1

How to do these

Where students go wrong

What you can put on this worksheet

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