Worksheet: Evaluating Numerical Expressions Using Order of Operations

In this worksheet, we will practice using the order of operations to evaluate simple numerical expressions.

Q1:

Evaluate ( 7 + 8 ) × ( 5 4 ) .

Q2:

What is the correct order of operations to solve 3 0 + 1 1 ÷ 1 5 × 3 ?

  • Aaddition, multiplication, division
  • Bdivision, multiplication, addition
  • Cmultiplication, addition, division

Q3:

Write an expression that matches this description: 23 more than the product of 19 and 5.

  • A 5 × ( 1 9 + 2 3 )
  • B 1 9 × ( 5 + 2 3 )
  • C 5 + 1 9 × 2 3
  • D 1 9 × 5 + 2 3
  • E 1 9 + 5 × 2 3

Q4:

Calculate the following: 7 + 2 × 2 .

Q5:

Calculate 1 5 ÷ ( 5 ÷ 3 ) .

Q6:

Evaluate 9 + 7 ( 1 2 5 6 ÷ 7 ) .

Q7:

Evaluate 1 0 × 1 1 0 .

Q8:

Evaluate 2 × 1 1 .

Q9:

Calculate the following: 1 2 ÷ 4 × 3 .

Q10:

Calculate the following: 8 3 ( 3 + 1 3 ) .

Q11:

The given table shows the cost of different snacks at a concession stand. How much would it cost to buy 6 juice pops and 5 sandwiches?

Item Box of Popcorn Juice Pop Sandwich
Price ($) 10 3 12

Q12:

Evaluate 8 4 ÷ 1 4 ÷ 3 .

Q13:

What number belongs in the blank?

Hint: Think about the order that we do the operations.

Q14:

What number belongs in the blank?

Think: about the order that we do the operations.

  • A7
  • B 1 1 3
  • C 1 2 2 3
  • D 9
  • E8

Q15:

Evaluate 4 [ 1 3 + ( 1 9 ) ] .

Q16:

Evaluate 3 × ( 1 + 4 ) .

Q17:

The operations are in the wrong order. Use the letters to list them in the correct order.

  • A C , A , D , B
  • B A , C , B , D
  • C D , B , A , C
  • D A , C , D , B
  • E C , A , B , D

Q18:

Are these expressions equal?

  • A yes
  • B no

Q19:

Are these expressions equal?

  • Ayes
  • Bno

Are these expressions equal?

  • Ano
  • Byes

Fill in the blank: When I add parentheses to an expression, I will change its value.

  • Anever
  • Bsometimes
  • Calways

Q20:

Which number makes the equation ( 8 + ) × 4 = 3 6 correct?

Q21:

Fill in the blank to make the equation correct: ( 8 2 ) × = 3 0 .

Q22:

Find the value of each expression.

( 8 + 4 ) ÷ 2 1 = .

8 + 4 ÷ ( 2 1 ) = .

8 + 4 ÷ 2 1 = .

Q23:

Fill in the blank: ( 1 0 2 ) ÷ = 4 .

Q24:

What number belongs in the blank?

Hint: Think about the order that we do the operations.

  • A39
  • B111
  • C63
  • D56
  • E73

Q25:

What number belongs in the blank?

Hint: Think about the order that we do the operations.

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