Operation Blueprint Worksheet
Independent Practice Order of Operations • Whole Numbers
Operation Blueprint
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Date:
Score: ____ / 10
Order of Operations Blueprint Goal: Solve each multi-step problem carefully, showing every step.
1. Parentheses
\( ( \;\; ) \)
2. Exponents
\( a^n \)
3. Multiply / Divide
Left to right \( \times \;\; \div \)
4. Add / Subtract
Left to right \( + \;\; - \)
Worked Example Evaluate: \( 4 + 3^2 \times (6 - 4) \)
Step 1 (P): \( 4 + 3^2 \times \mathbf{2} \)
Step 2 (E): \( 4 + \mathbf{9} \times 2 \)
Step 3 (M): \( 4 + \mathbf{18} \)
Step 4 (A): \( \mathbf{22} \)
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Part 1: Warm-Up — Parentheses & Exponents
Problem 1 \( 24 \div (2 + 4) + 3^2 \)
Answer:
Problem 2 \( 5^2 - 4 \times (7 - 2) + 6 \)
Answer:
2
Part 2: Building Up — Left-to-Right Steps
Problem 3 \( (4 + 2) \times 3^2 - 10 \)
Answer:
Problem 4 \( 36 \div 6 \times 2 + (8 - 3) \)
Answer:
Problem 5 \( 4^2 + 18 \div (9 - 6) \times 2 \)
Answer:
Operation Blueprint — Page 2
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Part 3: Multi-Step Practice
Tip: Evaluate exponents inside parentheses before subtracting.
Problem 6 \( (15 - 3^2) \times 4 + 12 \div 3 \)
Answer:
Problem 7 \( 100 \div (2 + 3)^2 \times 4 + 7 \)
Answer:
Problem 8 \( 2^3 \times (12 - 7) - 30 \div 5 \)
Answer:
4
Part 4: Full Blueprint Challenge
Apply every step of PEMDAS in order.
Problem 9 \( (6 + 2)^2 \div 16 + 3 \times (9 - 4) \)
Answer:
Problem 10 \( 50 - (2^2 \times 3 + 4) \times 2 + 18 \div 6 \)
Answer:
Self-Check: Did I follow P → E → M/D (left to right) → A/S (left to right) on every problem?
Yes Almost
