5 + 2³ × 3
Show answer
29
Free printable worksheet
Order of Operations Worksheet
Twenty expressions requiring parentheses, exponents, multiplication, division, addition, and subtraction.
Middle School MathGrades 6-83 pagesAnswer key included
No email is required. Download the complete worksheet and answer key now.
Download the free PDF
What this worksheet includes
- Twenty expressions requiring parentheses, exponents, multiplication, division, addition, and subtraction.
- 3-page printable PDF with a complete answer key
- Designed for Grades 6-8 middle school math practice
- Available as an immediate free download with no email required
How to use it
Use this order of operations worksheet for guided practice, independent review, homework, tutoring sessions, or a quick skills check. The spacious layout is designed to leave room for students to show their work rather than guess from crowded answer choices.
After students finish, compare their reasoning with the included answer key. When an answer is incorrect, have the student locate the first step where their work changed direction before trying the problem again.
Who this practice is for
This resource is designed for grades 6-8 students working on middle school math. Teachers, tutors, homeschool families, and parents can preview the first page before deciding whether the level and spacing fit the student.
Looking for a broader sequence? Browse all Middle School Math worksheets.
Topic guide
How to approach order of operations
The order of operations provides one consistent interpretation for a numerical expression: grouping symbols, exponents, multiplication and division from left to right, then addition and subtraction from left to right.
Multiplication does not automatically come before division, and addition does not automatically come before subtraction. Operations at the same level are completed in their written order.
Learning objectives
- Evaluate expressions using grouping and exponents
- Work multiplication and division left to right
- Show intermediate steps clearly
Skills to review first
- Four operations
- Exponent meaning
- Signed-number arithmetic
Worked example
Follow the reasoning step by step
Evaluate 18 − 3(4) + 8 ÷ 2.
- Multiply 3(4) = 12.
- Divide 8 ÷ 2 = 4.
- Rewrite 18 − 12 + 4.
- Work left to right: 6 + 4 = 10.
Solution: 10.
Try before downloading
Three sample problems
Work each problem, then open the answer to check your result.
24 ÷ 6 × 2
Show answer
8
3[7 − (2 + 1)]
Show answer
12
Error check
Common mistakes to watch for
- Adding before multiplying
- Doing multiplication before earlier division
- Ignoring a negative sign outside parentheses