Order of Operations
Evaluate:
5 × (6 + 2) − 9
31
Write an expression: 5 more than the product of 8 and 4.
(8 × 4) + 5
What is the rule? 4, 10, 16, 22…
Add 6
Use the rule to complete the table: Multiply the input by 3, then add 2.
Input Output
2 _____
4 _____
6 _____
8 _____
8, 14, 20, 26
What operation comes FIRST? 20 − (7 + 4)
+ inside ( )
Evaluate:
18 − 2 × (7 − 3) + 6
16
Which expression means subtract 9 from the product of 7 and 6?
(7 × 6) − 9
Start at 3 and add 6. Give the next 4 numbers.
9, 15, 21, 27
Two rules are shown below. Rule 1: Multiply the input by 4, then add 2. Rule 2: Multiply the input by 3, then add 6.
Which input produces the SAME output for both rules?
A. 2
B. 4
C. 6
D. 8
4
Write an expression: Add 7 and 11, then subtract 9.
(7 + 11) − 9
Evaluate:
4 × [(10 + 8) ÷ 3] − 5
19
Describe in words: 36 − (8 + 7)
Add 8 and 7, then subtract that sum from 36
Liam: start 2, +5. Emma: start 2, +7. Name a number that appears in both patterns.
37 works (they also both start at 2)
Rule: Multiply the input by 2, then add 5. Which input-output pair follows the rule?
A. 3 → 8
B. 4 → 13
C. 5 → 12
D. 6 → 17
B. 4 → 13
Which stays the same if parentheses are removed? A) 5×(6÷2)
B) 20−(7+4)
C)(6×3)+5
D) 4+(6×7)
D: 4 + (6 × 7)
Evaluate:
6 + [(15 + 9) ÷ 4] × 3
24
Write an expression: 42 less than the sum of 60 and 25.
(60 + 25) − 42
Ava starts at 3 and adds 6. Noah starts at 3 and adds 8. Write the first 5 terms of each and identify a number they share.
Ava 3, 9, 15, 21, 27; Noah 3, 11, 19, 27, 35
Rule: Multiply the input by 4, then subtract 3.
If the input is 7, what is the output?
25
What is calculated FIRST in 9 + {24 ÷ [2 + (3 × 2)]}?
3 x 2
Evaluate:
72 ÷ (3² + 3) × 4 − 6
18
Explain the difference between “42 less than the sum of 60 and 25” and “the sum of 42, 60, and 25.” Write both expressions.
(60 + 25) − 42 versus 42 + 60 + 25
A pattern starts at 5 and adds 8 each time.
5, 13, 21, 29, ___, ___
What are the next two numbers?
37 and 45
Rule: Multiply the input by 5, then add 4.
The output is 39. What was the input?
7
Create an expression using +, −, ×, and ÷, with parentheses, that equals 10.
answers vary