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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 1 5 − 3 × 2 ?

  • Amultiplication, addition
  • Baddition, multiplication
  • Cmultiplication, subtraction

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 1 9 + 5 × 2 3
  • D 1 9 × 5 + 2 3
  • E 5 + 1 9 × 2 3

Q4:

Calculate the following: 7 + 2 × 2 .

Q5:

Calculate 1 5 ÷ ( 5 ÷ 3 ) .

Q6:

Evaluate .

Q7:

Evaluate 1 0 × 1 − 1 0 .

Q8:

Evaluate 2 × 1 − 1 .

Q9:

Calculate the following: 1 9 × 1 0 ÷ 2 .

Q10:

Calculate the following: 7 5 + ( 6 0 − 1 0 ) .

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.

  • A 1 2 2 3
  • B 1 1 3
  • C8
  • D 9
  • E7

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

Q18:

Are these expressions equal?

  • A no
  • B yes

Q19:

Are these expressions equal?

  • Ayes
  • Bno

Are these expressions equal?

  • Ano
  • Byes

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

  • Aalways
  • Bnever
  • Csometimes

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.

  • A73
  • B111
  • C39
  • D63
  • E56

Q25:

What number belongs in the blank?

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

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