7th Grade Order of Operations Worksheet Practice

Mastering the Order of Operations: A 7th Grade Worksheet Practice

As a 7th grade student, you’re likely familiar with the concept of the order of operations. But how well do you understand it? Do you know how to apply it to solve complex mathematical expressions? This worksheet practice is designed to help you reinforce your understanding of the order of operations and become more confident in your math skills.

What is the Order of Operations?

The order of operations is a set of rules that dictates the order in which mathematical operations should be performed when there are multiple operations in an expression. The acronym PEMDAS is commonly used to remember the order:

1. Parentheses: Evaluate expressions inside parentheses first.
2. Exponents: Evaluate any exponential expressions next.
3. Multiplication and Division: Evaluate any multiplication and division operations from left to right.
4. Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Practice Time!

Try solving the following expressions using the order of operations:

1. 2 × 3 + 12 - 8
2. 10 - 3 + 2 × 4
3. 18 ÷ 3 + 2²
4. 9 - 2 × 3 + 11
5. 7 + 2 × (3 - 1)

Solutions:

1. 2 × 3 + 12 - 8 =?
   • Multiply 2 and 3: 2 × 3 = 6
   • Add 12: 6 + 12 = 18
   • Subtract 8: 18 - 8 = 10 Answer: 10
2. 10 - 3 + 2 × 4 =?
   • Subtract 3: 10 - 3 = 7
   • Multiply 2 and 4: 2 × 4 = 8
   • Add 8: 7 + 8 = 15 Answer: 15
3. 18 ÷ 3 + 2² =?
   • Divide 18 by 3: 18 ÷ 3 = 6
   • Evaluate the exponent: 2² = 4
   • Add 4: 6 + 4 = 10 Answer: 10
4. 9 - 2 × 3 + 11 =?
   • Multiply 2 and 3: 2 × 3 = 6
   • Subtract 6: 9 - 6 = 3
   • Add 11: 3 + 11 = 14 Answer: 14
5. 7 + 2 × (3 - 1) =?
   • Evaluate the expression inside the parentheses: 3 - 1 = 2
   • Multiply 2 and 2: 2 × 2 = 4
   • Add 4: 7 + 4 = 11 Answer: 11

Tips and Tricks:

• Always follow the order of operations when solving mathematical expressions.
• Use parentheses to group expressions and avoid confusion.
• Evaluate expressions inside parentheses first.
• Remember that exponents are evaluated before multiplication and division.

📝 Note: Take your time and work through each problem carefully. Use a pencil and paper to help you visualize the calculations.

Challenge Yourself:

Try creating your own expressions using the order of operations. Ask a friend or family member to solve them and see how they do!

In Conclusion

Mastering the order of operations is a crucial skill for any math student. By following the PEMDAS rules and practicing with different expressions, you’ll become more confident and proficient in your math skills. Remember to take your time, use parentheses to group expressions, and evaluate expressions carefully.

What does PEMDAS stand for?

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PEMDAS stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.

Why is it important to follow the order of operations?

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Following the order of operations ensures that mathematical expressions are evaluated consistently and accurately, avoiding confusion and errors.

How can I practice the order of operations?

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You can practice the order of operations by working through examples and exercises, creating your own expressions, and asking a friend or family member to solve them.

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