Worksheet: Order of Operations: Write Numerical Expressions

In this worksheet, we will practice writing expressions with parentheses and the four operations.

Q1:

Which students wrote an expression that matches this description: the product of 8 and the sum of 2 and 3?

  • AJacob only
  • BMadison only
  • CJennifer and Jacob only
  • DJennifer and Madison only
  • EJennifer only

Q2:

Write an expression that matches this description: add 17 to the product of 3 and 16.

  • A17×3+16
  • B17+3×16
  • C(17+3)×16
  • D(17+16)×3
  • E17×16+3

Q3:

Find the expression that matches this description: divide the sum of 3 and 5 by the product of 8 and 14.

  • A(3+5)÷(8×14)
  • B(3+5)÷8×14
  • C3+5÷8×14
  • D3+5÷14×8
  • E5+3÷8×14

Q4:

Natalie has 4 boxes that contain 26 books each and 8 boxes that contain 18 magazines each. Which of the following expressions cannot be used to find the total number of books and magazines she has?

  • A4(26)+8(18)
  • B12×(26+18)
  • C8×18+4×26
  • D8(18)+4(26)
  • E4×26+8×18

Q5:

Write an expression that matches this description: divide the difference between 42 and 18 by 6.

  • A(426)÷18
  • B6÷(4218)
  • C42÷(186)
  • D4218÷6
  • E(4218)÷6

Q6:

Which student has correctly described this calculation: 50÷(3+7)?

  • AMadison
  • BWilliam

Q7:

Which student has correctly described this calculation: 88÷21+8?

  • AEmma
  • BDaniel

Q8:

Emma has read 15 pages of a book. Scarlett has read 34 pages of the book. Liam has read three times as many pages as Emma and Scarlett combined.

Write an expression for the number of pages that Liam has read.

  • A3+15×34
  • B3+34×15
  • C3×15+34
  • D3×(15+34)
  • E3×34+15

Q9:

Write an expression for the number of stars that uses one addition operation (+) and two multiplication operations (×).

  • A3+2×6
  • B4+2×3
  • C(4+2)×2×3
  • D4×3+2
  • E4+2×2×3

Q10:

Write an expression that matches this description: decrease the quotient of 75 and 3 by 14.

  • A753÷14
  • B(753)÷14
  • C75÷314
  • D75÷(314)
  • E75÷143

Q11:

Describe this calculation in words: (2+7)÷3.

  • Adivide the sum of two and seven by three
  • Btwo plus seven divided by three

Q12:

Which student has correctly described this calculation: 12×4819?

  • AMatthew
  • BOlivia

Q13:

For a party, 7 cheese pizzas and 4 pepperoni pizzas were ordered. Each pizza was cut into 8 slices and at the end 19 slices were left.

Without doing any calculations, write an expression for the number of slices that were eaten.

  • A4+7×(819)
  • B7+4×819
  • C4+7×819
  • D7+4×(819)
  • E(7+4)×819

Q14:

Two students tried to write expressions for the number of fish in this tank. Which expression is the correct one?

  • A2+2×(3+2)
  • B2+2×3+2
  • C2+(2×3+2)
  • D(2+2)×3+2
  • E(2+2)×(3+2)

Q15:

Write an expression that matches this description: the product of the difference between 40 and 15 and the product of 2 and 7.

  • A4015×2×7
  • B(407)×15×7
  • C(4015)×2×7
  • D15×2×740
  • E(402)×15×7

Q16:

Write an expression with a value of 80, where it should contain four numbers and two different operations.

  • A4÷2+12÷6
  • B4×2+12×6
  • C12×64÷2
  • D4÷2+12×6
  • E12×64×2

Q17:

Noah has 3 cats and 5 rabbits. Madison has half the number of pets as Noah. Write an expression for the number of pets that Madison has.

  • A12×3+5
  • B12+5×3
  • C12+5+3
  • D12×5+3
  • E12×(3+5)

Q18:

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

  • A5+19×23
  • B19×(5+23)
  • C5×(19+23)
  • D19×5+23
  • E19+5×23

Q19:

Which student has correctly described this calculation: 17×(218)?

  • ABenjamin
  • BChloe

Q20:

Describe this calculation in words: 5×(96).

  • Afive times nine minus six
  • Bfive times the difference between nine and six

Q21:

Write an expression that matches this description: the product of the sum of 2 and 8 and the difference between 17 and 13.

  • A8+2×(1713)
  • B(2+8)×(1713)
  • C(2+8)×1713
  • D2+8×1713
  • E2+8×(1713)

Q22:

Write in numbers: nine times eight.

  • A8×8
  • B9×9
  • C4×9
  • D9×8

Q23:

Write in symbols: 8 divided by 2.

  • A82
  • B8+2
  • C8÷2
  • D8×2

Q24:

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[(40×7)+(7×14)]÷14, 27 batches
  • B[(40×7)+(7×14)]÷7, 54 batches
  • C[(40×7)(7×14)]÷7, 26 batches
  • D[(40×7)(7×14)]÷14, 13 batches
  • E[(40×7)(7×14)], 182 batches

Q25:

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

  • A7×2617
  • B7+2617
  • C7×(26+17)
  • D7×(2617)
  • E7×1726

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