pdf Solving Expressions - Parentheses, Brackets And Braces

This worksheet provides rigorous practice evaluating numerical expressions that include parentheses, brackets, and braces. Students follow a structured sequence by solving inside parentheses first, brackets second, and braces third, while consistently applying the order of operations within each grouping symbol.

The problem set includes 15 multi-layered expressions such as \({[5(9-6)-3]+12} \div [2(10-6)]\), \([9(12 \div 4)+1] - [3+(5+9 \times 2)+2]\), \(2{8[2(4+3)]+1}\), and \(9^2 \div {15-[2(9+6)-20]+4}\). Students must evaluate nested grouping symbols carefully, apply exponents correctly, and perform multiplication and division from left to right before completing addition and subtraction. The inclusion of multiple grouping layers strengthens precision and reinforces disciplined, step-by-step reasoning.

Because students must manage several operational levels within a single expression, this resource builds strong procedural fluency and conceptual understanding of expression structure. It works well as guided practice, independent work, homework, small-group remediation, or assessment preparation when reinforcing order of operations with advanced grouping symbols.

Skills Assessed

• Applying order of operations

• Evaluating expressions with parentheses, brackets, and braces

• Working with nested grouping symbols

• Simplifying expressions with exponents

• Performing multi-step numerical computation accurately

Classroom Use

• Guided instruction on advanced order of operations

• Independent practice

• Homework assignment

• Small-group intervention

• Assessment preparation

Details

2 pages
Answer key included

ID# 0543