Order of Operations Practice Problems with Answers

There are nine (9) problems below that can help you practice your skills in applying the order of operations to simplify numerical expressions. The exercises have varying levels of difficulty which are designed to challenge you to be more extra careful in every step while you apply the rules of the Order of Operations. Good luck!

Part 1: Order of Operations problems involving addition, subtraction, multiplication, and division

Problem 1: Simplify the numerical expression below.

7-24➗8✖️4+6
Answer
The answer is 1.

Problem 2: Simplify the numerical expression below.

18➗3-7+2✖️5
Answer
The answer is 9.

Problem 3: Simplify the numerical expression below.

6×4➗12+72➗8-9
Answer
The answer is 2.

Part 2: Order of Operations problems involving the four arithmetic operations and parenthesis (or nested grouping symbols)

Problem 4: Simplify the numerical expression below.

(17-6➗2)+4✖️3
Answer
The answer is 26.

Problem 5: Simplify the numerical expression below.

-2(1×4-2➗2)+(6+2-3)
Answer
The answer is negative one.

Problem 6: Simplify the numerical expression below.

-1×[(3-4×7)➗5]-2×24➗6
Answer
The answer is negative three.

Part 3: Order of Operations problems involving the four arithmetic operations, parentheses and exponents

Problem 7: Simplify using the Order of Operations.

(3*5^2/15)-(5-2^2)
Answer
The answer is four.

Problem 8: Simplify using the Order of Operations.

(1^4*2^2+3^3)-2^5/4
Answer
The answer is 23.

Problem 9: Simplify using the Order of Operations.

(22/2-2*5)^2+(4-6/6)^2
Answer
The answer is ten.

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