Order of operations worksheet for Pre-Algebra

In Pre-Algebra order of operations is practiced with whole numbers, exponents and one or two sets of grouping symbols. Multiplication and division go left to right as one step, and so do addition and subtraction.

Also taught in Algebra 1 and Algebra 2, each at its own level and with its own examples.

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Pick more than one for a sheet that mixes them.

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Sigma Prep · sigmaprep.io/worksheets Name Order of Operations Date Period Evaluate each expression. $7 \cdot 4 - 2 \cdot 6$ $(11 + 8) \cdot 5 - 4$ $9 + 2 \cdot 3^{2}$ $(4 - 2) \div 2 + 20$ $8 + 15 \div 3 \cdot 2$ $12 \cdot (7 - 19) + 5^{2}$ $2 \cdot 6 + 3 \cdot 4$ $16 \cdot (3 - 18) + 5^{2}$ $3 \cdot 5 - 3 \cdot 2$ $(6 + 19) \cdot 2 - 19$ $5 + 6 \div 2 \cdot 5$ $(12 - 4) \div 4 + 15$ $3 + 5 \cdot 2^{2}$ $15 \cdot (3 - 17) + 3^{2}$ $3 + 6 \div 3 \cdot 8$ $(17 + 19) \cdot 2 - 8$ $3 + 8 \cdot 2^{2}$ $(6 - 3) \div 3 + 12$ $2 \cdot 7 - 3 \cdot 3$ $9 \cdot (16 - 10) + 3^{2}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Order of Operations

Date Period

Evaluate each expression.

$7 \cdot 4 - 2 \cdot 6$
$(11 + 8) \cdot 5 - 4$
$9 + 2 \cdot 3^{2}$
$(4 - 2) \div 2 + 20$
$8 + 15 \div 3 \cdot 2$
$12 \cdot (7 - 19) + 5^{2}$
$2 \cdot 6 + 3 \cdot 4$
$16 \cdot (3 - 18) + 5^{2}$
$3 \cdot 5 - 3 \cdot 2$
$(6 + 19) \cdot 2 - 19$
$5 + 6 \div 2 \cdot 5$
$(12 - 4) \div 4 + 15$
$3 + 5 \cdot 2^{2}$
$15 \cdot (3 - 17) + 3^{2}$
$3 + 6 \div 3 \cdot 8$
$(17 + 19) \cdot 2 - 8$
$3 + 8 \cdot 2^{2}$
$(6 - 3) \div 3 + 12$
$2 \cdot 7 - 3 \cdot 3$
$9 \cdot (16 - 10) + 3^{2}$



Sigma Prep · sigmaprep.io/worksheets Name Order of OperationsAnswer keyVersion 2 Date Period Evaluate each expression. $7 \cdot 4 - 2 \cdot 6$ $16$ $(11 + 8) \cdot 5 - 4$ $91$ $9 + 2 \cdot 3^{2}$ $27$ $(4 - 2) \div 2 + 20$ $21$ $8 + 15 \div 3 \cdot 2$ $18$ $12 \cdot (7 - 19) + 5^{2}$ $- 119$ $2 \cdot 6 + 3 \cdot 4$ $24$ $16 \cdot (3 - 18) + 5^{2}$ $- 215$ $3 \cdot 5 - 3 \cdot 2$ $9$ $(6 + 19) \cdot 2 - 19$ $31$ $5 + 6 \div 2 \cdot 5$ $20$ $(12 - 4) \div 4 + 15$ $17$ $3 + 5 \cdot 2^{2}$ $23$ $15 \cdot (3 - 17) + 3^{2}$ $- 201$ $3 + 6 \div 3 \cdot 8$ $19$ $(17 + 19) \cdot 2 - 8$ $64$ $3 + 8 \cdot 2^{2}$ $35$ $(6 - 3) \div 3 + 12$ $13$ $2 \cdot 7 - 3 \cdot 3$ $5$ $9 \cdot (16 - 10) + 3^{2}$ $63$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Order of OperationsAnswer keyVersion 2

Date Period

Evaluate each expression.

$7 \cdot 4 - 2 \cdot 6$ $16$
$(11 + 8) \cdot 5 - 4$ $91$
$9 + 2 \cdot 3^{2}$ $27$
$(4 - 2) \div 2 + 20$ $21$
$8 + 15 \div 3 \cdot 2$ $18$
$12 \cdot (7 - 19) + 5^{2}$ $- 119$
$2 \cdot 6 + 3 \cdot 4$ $24$
$16 \cdot (3 - 18) + 5^{2}$ $- 215$
$3 \cdot 5 - 3 \cdot 2$ $9$
$(6 + 19) \cdot 2 - 19$ $31$
$5 + 6 \div 2 \cdot 5$ $20$
$(12 - 4) \div 4 + 15$ $17$
$3 + 5 \cdot 2^{2}$ $23$
$15 \cdot (3 - 17) + 3^{2}$ $- 201$
$3 + 6 \div 3 \cdot 8$ $19$
$(17 + 19) \cdot 2 - 8$ $64$
$3 + 8 \cdot 2^{2}$ $35$
$(6 - 3) \div 3 + 12$ $13$
$2 \cdot 7 - 3 \cdot 3$ $5$
$9 \cdot (16 - 10) + 3^{2}$ $63$

How to do these

$18 \div 3 \times 2 + 4^{2}$

Exponent first: 4² = 16.
Left to right: 18 ÷ 3 = 6, then 6 × 2 = 12.
Add: 12 + 16.

The answer is $28$ .

Where students go wrong

Multiplying before dividing because M comes before D in PEMDAS. They are one step, done left to right: 18 ÷ 3 × 2 is 12, not 3.

Also called PEMDAS, order of operations with exponents, order of operations with fractions or order of operations with decimals.

What you can put on this worksheet

Whole numbers: $6 \cdot 6 - 3 \cdot 2$ → $30$
Fractions: $\frac{3}{4} + \frac{1}{2} \div \frac{1}{4}$ → $\frac{11}{4}$
Decimals: $5.1 + 13.2 \div 6.6$ → $7.1$
Same-rank operations, left to right: $21 - 15 + 3$ → $9$
Negatives and nested brackets: Evaluate:
$\frac{(- 13 - (4 + (- 3))) \times 2}{2}$ → $- 14$
The fraction bar groups the bottom: Evaluate:
$\frac{222}{6 (8 - 1) - 5}$ → $6$

Questions about these worksheets

Yes. Every order of operations 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 order of operations 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 6: whole numbers, fractions, decimals, same-rank operations, left to right, negatives and nested brackets and the fraction bar groups the bottom. Tick as many as you want and set how many of each, or let it spread them evenly.

Working strictly left to right. 3 + 4 × 4 is 19, not 28. The other one is a negative inside a power: (4 - 14)² is 100, not -100, because the whole parenthesis is squared.

Order of operations worksheet for Pre-Algebra

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