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Order of Operations - Printable Mathematics Worksheets - Wayground

Order of Operations

13 questions

7th - 7th Grade

Mathematics

This Grade 7 mathematics worksheet helps students apply the order of operations through PEMDAS. It includes 13 questions—5 open-ended expression evaluations and 8 multiple-choice items—that check both procedural understanding and knowledge of PEMDAS terminology. Students identify the four basic steps, recognize that the E stands for exponents, and identify the grouping symbols used in the first step, including brackets and parentheses. Use the worksheet to give students focused practice explaining or selecting the correct PEMDAS components before they evaluate expressions independently. The open-ended items provide opportunities to show calculation work, while the multiple-choice questions quickly reveal whether students understand the structure and vocabulary of the process. This free printable worksheet is designed for Grade 7 math instruction, independent practice, review, or formative assessment, and it includes a complete answer key for efficient checking.

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Worksheets

Order of Operations

Total questions: 13

Name
Class
Date
1.

Evaluate the Expression

4 lines
2.

(10−8)+(52−1)÷4(10-8)+(5^2-1)\div4  

4 lines
3.

40−2332−5\frac{40-2^3}{3^2-5}  

4 lines
4.

42÷(32−1)+104^2\div\left(3^2-1\right)+10  

a)

10

b)

8

c)

12

d)

-2

5.

4x−4x    for    x=24^x-4x\ \ \ \ for\ \ \ \ x=2  

a)

8

b)

-1

c)

12

d)

0

6.

x+2∙x2     for     x=4x+2∙x^2\ \ \ \ \ for\ \ \ \ \ x=4  

a)

32

b)

36

c)

8

d)

12

7.

2y2+3y2   for     y=12y^2+3y^2\ \ \ for\ \ \ \ \ y=1  

a)

27

b)

1

c)

8

d)

5

8.

n2+n3+n4     for     n=3n^2+n^3+n^{4\ \ \ \ \ }for\ \ \ \ \ n=3  

a)

81

b)

117

c)

9

d)

27

9.

How many basic steps are there in PEMDAS

a)

6

b)

5

c)

4

d)

8

10.

PEMDAS: What does the E stand for?

a)

Equation

b)

Exponents

c)

Excellent

d)

Emotional

11.

PEMDAS: What symbols are used at step 1?

a)

3+57−1\frac{3+5}{7-1}  

Large division bar

b)

[ ]

Brackets

c)

( )

Parenthesis

d)

all of these symbols

12.

40−2332−5\frac{40-2^3}{3^2-5}  

4 lines
13.

42÷(32−1)+104^2\div\left(3^2-1\right)+10  

4 lines
Answer Key

Order of Operations

Total questions: 13

1.
n/a
2.
n/a
3.
n/a
4.
c)

12

5.
a)

8

6.
b)

36

7.
d)

5

8.
b)

117

9.
c)

4

10.
b)

Exponents

11.
d)

all of these symbols

12.
n/a
13.
n/a

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FAQs

What does this Order of Operations worksheet help Grade 7 students learn?

This worksheet helps Grade 7 students use PEMDAS to evaluate expressions and recognize its key components. The 5 open-ended items require students to work through expressions, while the 8 multiple-choice questions check understanding of the four basic steps, the meaning of E as exponents, and the grouping symbols used in the first step.

How can I use this worksheet to teach PEMDAS?

Introduce the worksheet by reviewing the four basic PEMDAS steps and explicitly connecting E with exponents and the first step with brackets and parentheses. Model one expression evaluation, then have students complete the multiple-choice items before attempting the 5 open-ended evaluations so you can address vocabulary or process gaps early.

What mistakes should I watch for on this PEMDAS worksheet?

Watch for students who select an incorrect number of basic steps, interpret the E as “equation” instead of exponents, or identify only parentheses rather than all the grouping symbols named in the worksheet. In the open-ended evaluations, check whether students apply the order consistently and show enough work to reveal where a calculation went wrong.

How do I assign and grade the Order of Operations worksheet?

You can assign this Order of Operations worksheet as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key, and printable student work can be graded by scanning it with the Wayground for Teachers app.

How can I differentiate this Order of Operations worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or font size to make the PEMDAS explanations, multiple-choice options, and open-ended expression work easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support access to the 13 questions.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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