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Worksheet: Applications of Using the Order of Operations

Q1:

Write a numerical expression that represents the cube of the division of 18 by 6, and then calculate it.

  • A ( 1 8 ÷ 6 ) 3 ,
  • B ( 1 8 ÷ 6 ) 9 2 ,
  • C ( 1 8 ÷ 6 ) 2 7 2 ,
  • D ( 1 8 ÷ 6 ) 2 7 3 ,
  • E ( 1 8 ÷ 6 ) 8 3 ,

Q2:

Victoria goes to the library’s used books sale. Paperback books are sold for $16.50 each and hardback books for $33.00. If Victoria buys 5 paperback books and 3 hardback books, how much will she spend?

Q3:

David usually orders four hamburgers and a soda for lunch. If a hamburger costs $6, and a soda costs $3, write an expression to calculate the amount of money he paid for lunch, and then determine that amount.

  • A 6 + 3 , $9
  • B 6 + 4 × 3 , $18
  • C 5 × 6 + 3 , $33
  • D 4 × 6 + 3 , $27
  • E 6 + 5 × 3 , $21

Q4:

Cinema tickets cost $9.98 for adults and $4.00 for children. Write the expression that represents the total cost of 2 adults’ tickets and 6 children’s tickets. Then, find the total cost of the tickets.

  • A 2 × 9 . 9 8 6 × 4 . 0 0 , $4.04
  • B 6 × 9 . 9 8 + 2 × 4 . 0 0 , $67.88
  • C 6 × 9 . 9 8 2 × 4 . 0 0 , $51.88
  • D 2 × 9 . 9 8 + 6 × 4 . 0 0 , $43.96
  • E 2 × 9 . 9 8 + 6 × 4 . 0 0 , $42.96

Q5:

A bookstore sells used books for $4.48 and new books for $6.57. Given that Noah buys 2 used books and 6 new books, write an expression to determine the total cost of the books, and then determine the cost, in dollars.

  • A 2 × 4 . 4 8 + 6 × 6 . 5 7 , $30.46
  • B 6 × 4 . 4 8 + 2 × 6 . 5 7 , $40.02
  • C 6 × 4 . 4 8 + 2 × 6 . 5 7 , $13.74
  • D 2 × 4 . 4 8 + 6 × 6 . 5 7 , $48.38
  • E 2 × 4 . 4 8 + 6 × 6 . 5 7 , $47.38

Q6:

An athlete in training cycles at 15 mph for 3 hours and then walks at 3 mph for another 3 hours. How far do they travel in total?

Q7:

Jennifer is making buffalo wings for a potluck of 40 people. Each batch she makes contains 14 wings. So far, she has made seven batches and she wants to make enough for every person attending to have seven wings. Write an expression that represents the number of batches that she still needs to make, and then solve it.

  • A [ ( 4 0 × 7 ) ( 7 × 1 4 ) ] , 182 batches
  • B [ ( 4 0 × 7 ) + ( 7 × 1 4 ) ] ÷ 1 4 , 27 batches
  • C [ ( 4 0 × 7 ) + ( 7 × 1 4 ) ] ÷ 7 , 54 batches
  • D [ ( 4 0 × 7 ) ( 7 × 1 4 ) ] ÷ 1 4 , 13 batches
  • E [ ( 4 0 × 7 ) ( 7 × 1 4 ) ] ÷ 7 , 26 batches

Q8:

The table shows the admission prices to an amusement park.

Admission Prices One-Day Pass Two-Day Pass
Adult $22.90 $26.95
Child (ages 3-9) $13.90 $17.95

What is the total price of two-day passes for two adults and three children?

Q9:

The table shows the prices that Mason found for gel pens. Determine the amount he would save by buying one dozen of the lowest-priced pens instead of one dozen of the highest-priced pens.

Gel Pens Brand A Brand B Brand C Brand D Brand E
Price ($) per Pen 2.87 1.77 2.80 1.90 1.11

Q10:

Whose calculation is correct?

  • AJacob's
  • BVictoria's

Q11:

Whose calculation is correct?

  • AElizabeth's
  • BAnthony's

Q12:

A housewife has 800 LE. She buys 6 toys and 16 shirts for a local orphanage. The price of one toy is 7 LE and the price of one shirt is 18 LE. Find the amount of money the housewife has leftover.

  • A220 LE
  • B578 LE
  • C222 LE
  • D470 LE
  • E554 LE

Q13:

A man went to the market and bought 5 kilograms of guavas, 4 kilograms of broccoli, 2 kilograms of bananas, 3 kilograms of tomatoes, and 6 kilograms of carrots. Use the table to calculate how much he paid.

Kind Green Beans Lemons Tomatoes Broccoli Carrots Pepper Bananas Apples Potatoes Grapes Guavas Mangoes
Price per kg ( LE) 3 4 2 5 3 4 9 10 5 9 7 8

Q14:

Calculate ( 1 . 6 8 7 × 1 0 0 ) + 7 3 . 6 5 5 .

Q15:

Calculate ( 3 1 . 6 6 3 + 8 9 . 4 9 1 ) × 1 0 0 .

Q16:

( 5 0 . 3 2 1 + 6 4 . 4 9 6 ) × 1 0 0 0 = .

Q17:

Calculate 4 . 3 × ( 3 4 + 2 ) .

Q18:

Charlotte buys 6 bags of flour to make pancakes. Each bag costs $9. She also buys a box of cherries for $5. How much did Charlotte spend at the grocery store?

Q19:

Write an expression that matches this calculation: the product of 7 and the difference between 26 and 17.

  • A 7 × 1 7 2 6
  • B 7 × 2 6 1 7
  • C 7 + 2 6 1 7
  • D 7 × ( 2 6 1 7 )
  • E 7 × ( 2 6 + 1 7 )

Q20:

Daniel had collected 18 dinosaurs. He gave one-third of them to his sister, and then his mother bought him 4 more. How many dinosaurs does he have now?

One of these expressions describes the situation.

Evaluate the correct expression to find the answer.

Q21:

48 candies were shared equally between 8 children. Mason ate 3 of his candies.

Select the correct equation, where 𝑥 is the number of candies that Mason has left.

  • A 𝑥 = 4 8 8 + 3
  • B 𝑥 = 4 8 ÷ 8 + 3
  • C 𝑥 = 4 8 ÷ 3 + 8
  • D 𝑥 = 4 8 ÷ 8 3
  • E 𝑥 = 4 8 ÷ 3 8

How many candies does he have left?

Q22:

Write an expression that matches this description: the quotient of the sum of 3 and 4 and the difference between 12 and 9.

  • A 3 + 4 ÷ ( 1 2 9 )
  • B 3 + 4 ÷ 1 2 9
  • C ( 3 + 4 ) ÷ 1 2 9
  • D ( 3 + 4 ) ÷ ( 1 2 9 )
  • E ( 1 2 9 ) ÷ ( 3 + 4 )

Q23:

Consider the shape shown.

Which of the following describes the calculation shown by the area model?

  • A8 lots of the sum of 3 and 4
  • B3 lots of the sum of 8 and 4
  • C4 lots of the sum of 7 and 3
  • D4 lots of the sum of 8 and 3
  • E3 lots of the sum of 7 and 4

Which expression matches this calculation?

  • A 4 × ( 8 + 3 )
  • B 4 × ( 7 + 3 )
  • C 8 × ( 3 + 4 )
  • D 3 × ( 8 + 4 )
  • E 3 × ( 7 + 4 )

Q24:

Consider the shape shown.

Which of the following describes the calculation shown by the bar model?

  • A7 times the sum of 43 and 15
  • B8 plus the sum of 43 and 15
  • C7 plus the sum of 43 and 15
  • D8 times the sum of 43 and 15
  • E7 plus the multiplication of 43 and 13

Which expression matches this calculation?

  • A 8 × ( 4 3 + 1 5 )
  • B 7 + ( 4 3 + 1 5 )
  • C 7 × ( 4 3 + 1 5 )
  • D 8 + 4 3 + 1 5
  • E 7 + ( 4 3 × 1 5 )

Q25:

Consider the shape shown.

Which of the following describe the calculation shown by the bar model?

  • AAdd 3 to 17 and then multiply by 12.
  • BAdd 3 to 17 and then add 12.
  • CMultiply 3 by 17 and then add 12.

Which expression matches this calculation?

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