Practice Order of Operations in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The agreed-upon sequence for evaluating expressions: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

Without rules, 2 + 3 \times 4 could mean 20 or 14. We agree to multiply first: 14.

Example 1

easy
Evaluate 3 + 4 \times 2.

Example 2

medium
Evaluate 2 \times (3 + 5)^2 - 10 \div 2.

Example 3

medium
Evaluate 18 - 3 \times (4 + 1) + 2^3.

Example 4

hard
Evaluate 5 + 3^2 \times 2 - (12 \div 4 + 1).