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Worksheet: Evaluating Expressions Using the Order of Operations

Q1:

Analyze the statement ( 1 9 + 2 6 ) × 9 = 1 9 + 2 6 × 9 , and then state whether it is true or false.

  • Afalse
  • Btrue

Q2:

Calculate the following: 9 × 7 + 5 × 3 .

Q3:

Calculate 9 4 5 × 1 0 + 6 9 .

Q4:

Evaluate 6 ( 6 ) + 2 7 ÷ 3 .

Q5:

Calculate 2 9 + 3 × 8 ( 2 × 2 ) .

Q6:

Evaluate 6 [ ( 1 2 3 ) 2 ] + 6 .

Q7:

Calculate the following: 9 6 ÷ ( 1 9 1 3 ) × 4 .

Q8:

Calculate 4 ÷ 3 × 4 2 .

  • A 1 3
  • B 4 3
  • C 1 6 3
  • D 6 4 3

Q9:

What is the value of 3 × 3 6 ÷ 3 × 7 + 8 2 ?

Q10:

Calculate the following: 9 × 7 + 8 8 2 .

Q11:

Calculate ( 5 + 1 0 ) ÷ 5 2 .

Q12:

Calculate 3 0 + ( 6 ÷ 3 ) + 2 1 × 2 2 .

Q13:

Calculate the following: 5 6 ÷ ( 5 + 3 ) + 2 2 .

Q14:

Calculate 4 ( 9 ÷ 3 ) + 1 5 3 2 .

Q15:

Calculate 8 + 1 ( 2 7 2 3 ) 2 2 .

Q16:

If necessary, put parentheses in the following calculation to make it correct.

  • A 9 + ( 1 5 ÷ 3 ) × 1 0 = 8 0
  • B 9 + 1 5 ÷ ( 3 × 1 0 ) = 8 0
  • C ( 9 + 1 5 ) ÷ ( 3 × 1 0 ) = 8 0
  • D ( 9 + 1 5 ) ÷ 3 × 1 0 = 8 0

Q17:

Calculate 1 6 × 3 5 ÷ [ 1 5 ( 4 1 3 3 ) ] .

Q18:

Are these expressions equal?

  • A no
  • B yes

Q19:

Are these expressions equal?

  • A yes
  • B no

Q20:

Calculate .

Q21:

This equation needs parentheses ( ) to make it correct. Around which part should we put them?

  • A 3 × 1 0
  • B 2 + 3
  • C 2 + 3 × 1 0
  • D 1 0 7
  • E 3 × 1 0 7

Q22:

This equation 1 0 ÷ 2 + 3 1 = 1 needs parentheses to make it correct. Around which part should we put them?

  • A 3 1
  • B 1 0 ÷ 2
  • C 2 + 3 1
  • D 2 + 3

Q23:

Two students are writing expressions for the number of tiles in this design.

Only one of them is correct. Who is it?

  • AKelly
  • BDouglas

Rewrite the incorrect expression to make it correct.

  • A
  • B
  • C
  • D
  • E

Which of these is a different way to count the number of pink tiles?

  • A
  • B
  • C
  • D
  • E

Q24:

An artist has created this mosaic out of tiles.

They write this expression for the number of orange tiles they used.

Write a similar expression for the number of blue tiles in this mosaic.

  • A 5 × 8 2 × ( 2 + 4 + 2 ) 3 × 2
  • B 5 × 8 2 × ( 1 + 1 + 1 ) 3 × 2
  • C 5 × 8 2 × ( 1 + 2 + 1 ) 5 × 2
  • D 5 × 8 2 × ( 1 + 2 + 1 ) 3 × 2
  • E 5 × 6 2 × ( 1 + 1 + 1 ) 3 × 2

Which of these is equal to the number of blue tiles?

Hint: Which operation should we do first?

  • A 5 × 8 2 × 4 3 × 2
  • B 5 × 8 2 × ( 1 + 2 + 1 ) 6
  • C 4 0 2 × ( 1 + 2 + 1 ) 3 × 2
  • D 4 0 2 × ( 2 + 3 ) 4
  • E 5 × 6 ( 1 + 2 + 1 ) 3 × 2

How many blue tiles are there?

Q25:

Calculate 2 1 × 5 ÷ 3 .

  • A 1
  • B 5 3
  • C 3
  • D 1 3