Order of operations and evaluating expressions worksheets pdf

Order of operations and evaluating expressions worksheets pdf

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With this worksheet generator, you can make printable worksheets for evaluating simple variable expressions, when the value of the variable(s) is given. There are three levels, the first level only including one operation. For example, the student might find the value of the expression 2(t − 5), when t has the value -6.

These worksheets suit best grades 6, 7, and 8, including pre-algebra and algebra 1 courses.

To customize the worksheets, you can control the number of problems, difficulty level, range of numbers used (you can include negative numbers and decimals), workspace below the problems, border around the problems, and additional instructions.

Order of operations and evaluating expressions worksheets pdf

Basic instructions for the worksheets

Each worksheet is randomly generated and thus unique. The answer key is automatically generated and is placed on the second page of the file.

You can use the generator to make worksheets either in html or PDF format — both are easy to print. The html worksheet has the advantage that you can save it directly from your browser (choose File → Save) and then later edit it in Word or other word processing program.

Here are some quick links for ready worksheets. Refresh the worksheet page to get another of the same kind, until you are happy with the problems & layout.


Ready-made worksheets

  • Level 1: usually one operation, no negative numbers in the expressions
  • Level 1: usually one operation, variable may be negative/positive integer
  • Level 1: usually one operation, variables and the constant may be negative/positive integers

  • Levels 1 & 2: variables have positive integer values
  • Levels 1 & 2: variables and constants are negative or positive integers
  • Levels 1 & 2: variables and constant are positive and may have one decimal digit

  • Levels 2 & 3: variables and constants are positive integers
  • Levels 2 & 3: some variables and constant may be negative integers
  • Levels 2 & 3: variables and constant may be negative and may have one decimal digit

Expressions with Variables Worksheet Generator

By including negative numbers in the ranges or including decimal digits, you can make the problems more difficult.

Range for the value of variable 1:
  Min Max:

Range for the value of variable 2:
  Min Max:

Range for constant 1:
  Min Max:

Range for constants 2 and 3:
  Min Max:

Number of decimal digits used in the variable(s) and constant(s)

Number of empty lines below the problems (workspace)

Page orientation:
Portrait   Landscape
(PDF worksheet only; the orientation of an html worksheet can be set in the print preview of the browser)

Font:   Font Size: 

Cell Padding:

Border:   Bordercolor:

Additional title & instructions  (HTML allowed)

Order of operations and evaluating expressions worksheets pdf

Key to Algebra Workbooks

Key to Algebra offers a unique, proven way to introduce algebra to your students. New concepts are explained in simple language, and examples are easy to follow. Word problems relate algebra to familiar situations, helping students to understand abstract concepts. Students develop understanding by solving equations and inequalities intuitively before formal solutions are introduced. Students begin their study of algebra in Books 1-4 using only integers. Books 5-7 introduce rational numbers and expressions. Books 8-10 extend coverage to the real number system.

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Order of operations and evaluating expressions worksheets pdf


With our free evaluating numerical expressions using PEMDAS worksheets, not only do students steer clear of the confusion about which math operation to start with while simplifying a numerical expression, they also have a crystal-clear picture of which order to follow while at it. "PEMDAS" in an acronym for parentheses, exponents, multiplication, division, addition, subtraction. Think of the mnemonic phrase "Please Excuse My Dear Aunt Sally", and the operations will be at your service one after another. Explore the full gamut of PEMDAS with our pdf worksheets presenting expressions with either both parentheses and exponents or one of them at play.

These printable worksheets are ideal for students in grade 5, grade 6, grade 7, and grade 8.

CCSS: 5.OA, 6.EE

Order of operations and evaluating expressions worksheets pdf

Numerical Expressions involving Four Operations

Evaluate expressions like you have been at it for ages, with this printable worksheet! Incorporate the DMAS rule, perform the four arithmetic operations in the order, and find the value of the expressions. Prove your numerical mettle!

Order of operations and evaluating expressions worksheets pdf

Expressions with Parentheses | Easy

With this pdf worksheet on, recognizing a numerical expression with parentheses won't be half as challenging for 5th grade and 6th grade students. Perform the operations within the parentheses first; move on to the other parts to evaluate them.

Order of operations and evaluating expressions worksheets pdf

Expressions with Parentheses | Moderate

In this free moderate practice resource on PEMDAS, students face off against expressions with multiple parentheses. Reduce the expressions inside the parentheses to a number and then proceed with the other operations in the appropriate order.

Order of operations and evaluating expressions worksheets pdf

Expressions involving Exponents | Easy

The defiant and resolute students in grade 6 and grade 7 have a refreshing resource to practice simplifying arithmetic expressions involving exponents. This easy exercise includes two operators per expression so working with powers is easy.

Order of operations and evaluating expressions worksheets pdf

Expressions involving Exponents | Moderate

In this printable PEMDAS worksheet, learners are up against arithmetic expressions involving three to four operations and two exponential notations. By solving the problems here, they hone in on simplifying numerical expressions involving exponents.

Order of operations and evaluating expressions worksheets pdf

PEMDAS | Parentheses and Exponents

Linked here is an all-in-one pdf that the fledgling PEMDAS practitioners in 7th grade and 8th grade will hold dear for a long time. Evaluate expressions with parentheses, exponents, multiplication/division, and addition/subtraction, all at once!

Order of operations and evaluating expressions worksheets pdf

How do you do order of operations and evaluating expressions?

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

How do you evaluate an expression step by step?

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.

What is an evaluating expression?

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.