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Order of Operations & Algebraic Expressions - Printable Mathematics Worksheets - Wayground

Order of Operations & Algebraic Expressions

10 questions

6th - 6th Grade

Mathematics

This Grade 6 mathematics worksheet develops two connected skills: applying the order of operations to simplify numerical expressions and identifying the parts of an algebraic expression. Students complete 10 items: eight multiple-choice questions, one multiple-select question, and one dropdown question. The first five items focus on recognizing the correct order and evaluating expressions, while the remaining items use 9k − 2 to identify the variable, coefficient, constant, and terms, and to distinguish an expression from an equation. The worksheet is designed for Grade 6 math practice, guided instruction, or a quick check of understanding. Its varied question types require students to apply procedural reasoning as well as algebra vocabulary, including selecting more than one term when appropriate. This free printable worksheet includes a complete answer key for efficient review and grading, and it can also support digital practice through Wayground.

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Worksheets

Order of Operations & Algebraic Expressions

Total questions: 10

Name
Class
Date
1.

Which answer has the Order of Operations in the correct order?

a)

P or G

E

MD

AS

b)

PE

MD

AS

c)

GE

MD

AS

d)

P/G

E

M

D

A

S

2.

Use the Order of Operations to simplify the following expression:

3 + 4 x 5 - 2

a)

21

b)

58

c)

36

3.

Use the Order of Operations to simplify the following expression:

4 x 5 + 50 ÷\div 10-9

a)

16

b)

-2

c)

70

4.

Use the Order of Operations to simplify the following expression:

2(12÷3)2+72\left(12\div3\right)^2+7

a)

39

b)

23

c)

13

5.

Use the Order of Operations to simplify the following expression:

3(4+8)13+4−8\frac{3\left(4+8\right)}{13+4-8}

a)

4

b)

-1.23

6.

Use the expression 9K-2 to identify each part of the expression.

Which answer option is a variable?

a)

k

b)

9

c)

2

d)

-

7.

Use the expression 9K-2 to identify each part of the expression.

Which answer option is the coefficient?

a)

k

b)

9

c)

2

d)

-

8.

Use the expression 9K-2 to identify each part of the expression.

Which answer option is the constant?

a)

k

b)

9

c)

2

d)

-

9.

Use the expression 9K-2 to identify each part of the expression.

Choose two terms from the expression.

a)

k

b)

9k

c)

2

d)

-

10.

9k-2 is an​ (a)   because it ​ (b)   have an equal sign.

Choose from the below words
expression
does not
equation
does
Answer Key

Order of Operations & Algebraic Expressions

Total questions: 10

1.
a)

P or G

E

MD

AS

2.
a)

21

3.
a)

16

4.
a)

39

5.
a)

4

6.
a)

k

7.
b)

9

8.
c)

2

9.
b)

9k

, c)

2

10.
expression, does not

FAQs

What does the Order of Operations & Algebraic Expressions worksheet cover?

This Grade 6 math worksheet combines simplifying numerical expressions with identifying the parts of 9k − 2. Its 10 items ask students to recall the order of operations, evaluate expressions, identify the variable, coefficient, constant, and terms, and distinguish an expression from an equation using multiple-choice, multiple-select, and dropdown formats.

How can I use this worksheet to teach order of operations and algebraic expressions?

Begin by reviewing the order shown in the first item, then model how to simplify one numerical expression before assigning the remaining simplification questions. Next, use 9k − 2 to have students label the variable, coefficient, constant, and terms, and discuss why it is an expression rather than an equation. Ask students to explain the step or definition that supports each selected answer, especially on the multiple-select and dropdown items.

What mistakes should I watch for when students complete this worksheet?

Students may simplify the numerical expressions strictly from left to right instead of following the stated order of operations, or confuse the order of multiplication, division, addition, and subtraction. In 9k − 2, they may identify 9 as the variable, treat the subtraction symbol as a term, or select only one term instead of 9k and 2. They may also confuse an expression with an equation by overlooking that 9k − 2 does not have an equal sign.

How do I assign and grade this worksheet?

You can assign the worksheet as a printable PDF or use it as a digital quiz on Wayground; it includes a complete answer key for checking all 10 items. For printable submissions, scan student work with the Wayground for Teachers app to help grade responses to the order-of-operations and algebraic-expression questions.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the numerical expressions, algebra symbols, and answer choices are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping its multiple-choice, multiple-select, and dropdown structure.

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.