Order of Operations Review

​What is the order of operations?

• ​The order of operations is the way to simplify expressions by performing operations in a specific order

​What is the order of operations?

1. ​Solve anything inside of grouping symbols ( ) { } these are parenthesis and brackets

2. Solve for exponents

3. ​Going from left to right solve any multiplication and division, which ever comes first

4. ​Going from left to right solve any addition or subtraction, which ever comes first.

Multiple Choice

7 + (12-3)²

• 256
• 88
• 10
• 13

Multiple Choice

(15 ÷ 3)² + 9 ÷ 3

• 11.3
• 28
• 13

Multiple Choice

27 ÷ 3 x 2 + 4²

• 34
• 20.5
• 26

Multiple Choice

Solve the following:
(2 + 7 - 1) ÷ 2²

• 16
• 2
• 72.25
• 8.75

Multiple Choice

8² +(7-4)²

• 74
• 72
• 70
• 73

Multiple Choice

2⁵ is the same as 2 x 5.

• True
• False

Multiple Choice

Which expression is equivalent to 6² - 2³?

• (6 - 2) x 5
• (6 x 6) - (2 x 2 x 2)
• (6 x 2) - (2 x 3)
• (6 + 6) - (2 + 2 + 2)

Multiple Choice

Evaluate the expression: 2 × 14 ÷ (3² − 2)

• 3
• 6
• 8
• 4

Multiple Choice

Find and explain the error.    
 5 - 3 + 2
     5 - 5
        0

• There is no error.
• Addition was done first and you should have subtracted first
• There is a subtraction error

Multiple Choice

Which step would come first in the following problem:
6x7+(9-3)+2

• 6x7
• 7+9
• (9-3)
• 3+2

Multiple Choice

15 + 7 × 2 – 11 + 35=

• 38
• 251
• 53
• 50

Multiple Choice

40+(72÷9)÷8

• 49
• 25
• 41
• 15

Multiple Choice

(4x8)-(9+7)

• 16
• 25
• 41
• 32

Multiple Choice

26-10+3

• 13
• 39
• 19
• 4

Multiple Choice

64 ÷ (15 - 7) x 2 - 9 =

• 7

• 5

• 1

• 2

Multiple Choice

5(6-3) = 

• 19
• 27
• 15
• 23

Multiple Choice

An expression is shown below. 
3 + [5 + (36 ÷ 4 • 2) –  2]4 – 2 

Which statement describes a possible first step to simplify the expression?

• Add 5 and 36
• Multiply 4 and 2
• Divide 36 by 4
• Add 3 and 5

Multiple Choice

An expression is shown below. 
48 - 6(2 + 3)

Which statement best describes the relationship between the digit 6 and the parentheses in the expression?

• 6 less than 48 times the sum of 2 and 3
• 6 times 2 then add 3
• 6 less than 48
• 6 times the sum of 2 and 3

Multiple Choice

Simplify the expression below. 

100 + [34 – (4 + 2) × 3] ÷ 4

• 36
• 99
• 104
• 49

Multiple Choice

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

• Subtraction

• Division

• Multiplication

• Addition

Multiple Choice

What does 3² mean?

• 3 x 2
• 3 x 3
• 2 x 2 x 2

Multiple Choice

True or false:
Addition ALWAYS comes before subtraction.

• True
• False

Multiple Choice

Are these two expressions equal?

(6 - 4) -1 and 6 - (4 - 1)

• Yes, they both equal 1

• Yes, they both equal 3

• No, they are not equal

Multiple Choice

$$4^3+15\div3$$  
What operation do you need to solve first?

• Addition
  

• Exponent

• Division

Multiple Choice

$$Solve:\ \ 3\times2^3+5$$  

• 17

• 11

• 29

• 39