# Basic Algebra Order of Operations Worksheet

In introductory algebra, students are introduced to the order of operations, which dictates the sequence that mathematical operations should be completed within an equation. Although your child's teacher can likely provide practice worksheets, you also can make your own at home. Read on for tips and sample problems.

## How to Create Basic Algebra Order of Operations Worksheets

Order of operations is a crucial algebra skill, but also one that your child may find difficult to conceive since it requires a shift in thinking. Instead of working from left to right, your child must follow the order of operations hierarchy: parentheses, exponents, multiplication, division, addition, subtraction. To help your child remember this order, you might introduce the acronym PEMDAS or the sentence 'Please Excuse My Dear Aunt Sally.'

When writing practice problems for your child, consider the following tips:

• Include variations of an equation to illustrate how the order of operations affects the answer. For instance, 1 + 2 x 3 = 7 because, based on the order of operations, multiplication is done before addition. However, (1 + 2) x 3 = 9 because the operation inside the parentheses takes priority.
• If your child is just beginning his or her study of algebra, you might incorporate just one or two mathematical operations. However, as your child becomes more comfortable with the concept, make problems more difficult by including multiple steps. This way, your child can see how the operations function together.

## Order of Operations Problems

### Variations

1. 3 - 6 x 2

To solve this problem, your child should begin with the multiplication problem. The resulting equation should look like this: 3 - 12 = -9.

2. (3 - 6) x 2

Because 3 - 6 is in parentheses, that operation should be completed first. This changes the answer significantly. The answer for this problem is -3 x 2 = -6.

3. 6 - 4 x 30 / 5 (Answer: -18)

4. (6 - 4) x 30 / 5 (Answer: 12)

5. 5 x 10 - 1 (Answer: 49)

6. 5 (10 - 1) (Answer: 45)

### Multi-step Equations

1. (2 + 6 x 5 + 1 - 4) x 2

Your child should begin with the equations inside the parentheses. According to the order of operations, multiplication is completed before addition and subtraction, so the equation should look like this: (2 + 30 + 1 - 4 ) x 2. Then, add: (33 - 4) x 2. Finally, the equation can be solved: 29 x 2 = 58.

2. (6 x 5 - 5) / 5 (Answer: 5)

3. 50 / (8 (5 - 4) - 3) (Answer: 10)

4. (15 / (2 + 2 + 1)) + 3 (Answer: 6)

5. ((32 - 2) / (5 + 1)) - 8 (Answer: -3)

Did you find this useful? If so, please let others know!

## Other Articles You May Be Interested In

• Algebra for the IPad Generation

For many students, algebra inspires apprehension and dread. Today, students are increasingly dependent on tools, such as iPads and even their phones, that can do the work of algebra for them. This makes the job of a teacher trying to convey algebra's importance difficult. Yet there are still ways to make algebra relevant,...

• Not Your Father's Algebra As 45 States Look to Math Reform

One plus one will always equal two...but just how students are taught math is going to change. Nearly every state in the country has adopted the Common Core Standards; for math, this means new and more in-depth approaches to teaching the subject. Have we seen the last of traditional algebra and geometry classes?

## We Found 7 Tutors You Might Be Interested In

### Huntington Learning

• What Huntington Learning offers:
• Online and in-center tutoring
• One on one tutoring
• Every Huntington tutor is certified and trained extensively on the most effective teaching methods
In-Center and Online

### K12

• What K12 offers:
• Online tutoring
• Has a strong and effective partnership with public and private schools
• AdvancED-accredited corporation meeting the highest standards of educational management
Online Only

### Kaplan Kids

• What Kaplan Kids offers:
• Online tutoring
• Customized learning plans
• Real-Time Progress Reports track your child's progress
Online Only

### Kumon

• What Kumon offers:
• In-center tutoring
• Individualized programs for your child
• Helps your child develop the skills and study habits needed to improve their academic performance
In-Center and Online

### Sylvan Learning

• What Sylvan Learning offers:
• Online and in-center tutoring
• Sylvan tutors are certified teachers who provide personalized instruction
• Regular assessment and progress reports
In-Home, In-Center and Online

### Tutor Doctor

• What Tutor Doctor offers:
• In-Home tutoring
• One on one attention by the tutor
• Develops personlized programs by working with your child's existing homework
In-Home Only

### TutorVista

• What TutorVista offers:
• Online tutoring
• Student works one-on-one with a professional tutor
• Using the virtual whiteboard workspace to share problems, solutions and explanations
Online Only