Worksheet: Writing Multiplication and Division Expressions

In this worksheet, we will practice writing multiplication and division expressions that represent given situations.

Q1:

A girl can run a mile in 13 minutes. Write an expression for the number of miles she can run in π‘₯ minutes.

  • A 1 3 βˆ’ π‘₯
  • B π‘₯ βˆ’ 1 3
  • C 1 3 π‘₯
  • D π‘₯ Γ· 1 3

Q2:

A father split some money π‘š equally between his three sons. Write an expression for the amount of money received by each son.

  • A 3 + π‘š
  • B 3 π‘š
  • C π‘š βˆ’ 3
  • D π‘š 3
  • E 3 π‘š βˆ’ 3

Q3:

A person is 6 𝑧 years old. What was their age 6 years ago?

  • A 3 6 𝑧
  • B 6 𝑧 + 6
  • C 6 𝑧 βˆ’ 3 6
  • D 6 𝑧 βˆ’ 6
  • E 6 𝑧 + 3 6

Q4:

I am π‘₯ years old. How old was I nine years ago?

  • A 9 π‘₯ years old
  • B ( π‘₯ + 9 ) years old
  • C π‘₯  years old
  • D ( π‘₯ βˆ’ 9 ) years old
  • E π‘₯ 9 years old

Q5:

Write the expression that means β€œ π‘₯ divided by 7.”

  • A π‘₯ βˆ’ 7
  • B 7 Γ· π‘₯
  • C 7 βˆ’ π‘₯
  • D π‘₯ Γ· 7

Q6:

Write an expression for a number 𝑏 divided by 12.

  • A 1 2 𝑏
  • B 1 2 βˆ’ 𝑏
  • C 1 2 𝑏
  • D 𝑏 1 2
  • E 𝑏 βˆ’ 1 2

Q7:

Write the expression that means β€œ14 multiplied by 𝑍 .”

  • A 𝑍 βˆ’ 1 4
  • B 𝑍 + 1 4
  • C 𝑍 Γ· 1 4
  • D 𝑍 Γ— 1 4

Q8:

The diagram below shows the operation of a number machine.

Which of the following expressions describes 𝑏 , the output of the number machine?

  • A π‘Ž Γ— 6 βˆ’ 5
  • B π‘Ž βˆ’ 5 Γ— 6
  • C ( π‘Ž βˆ’ 6 ) Γ— 5
  • D ( π‘Ž βˆ’ 5 ) Γ— 6
  • E π‘Ž Γ— 5 βˆ’ 6

Q9:

The diagram below shows the operation of a number machine.

Which of the following expressions describes , the output of the number machine?

  • A
  • B
  • C
  • D
  • E

Q10:

Write an expression for a number 𝑏 divided by 12.

  • A 1 2 𝑏
  • B 1 2 βˆ’ 𝑏
  • C 1 2 𝑏
  • D 𝑏 1 2
  • E 𝑏 βˆ’ 1 2

Q11:

The diagram below shows the operation of a number machine.

Which of the following expressions describes 𝑔 , the output of the number machine?

  • A ( 𝑑 + 1 0 0 + 1 3 ) Γ· 2
  • B 𝑑 + 1 0 0 Γ· 2 + 1 3
  • C ( 𝑑 + 1 0 0 ) + 1 3 Γ· 2
  • D ( 𝑑 + 1 0 0 ) Γ· 2 + 1 3
  • E ( 𝑑 + 1 3 ) Γ· 2 + 1 0 0

Q12:

The diagram below shows the operation of a number machine.

Which of the following expressions describes 𝑦 , the output of the number machine?

  • A π‘₯ Γ— 2 Γ— 8
  • B π‘₯ + 8 Γ— 2
  • C π‘₯ + 2 + 8
  • D π‘₯ Γ— 2 + 8
  • E π‘₯ Γ— 8 + 2

Q13:

A bookshop is selling colouring books for 𝑑 dollars a book. It sold 3 books two weeks ago, 2 books last week, and 6 books this week. Write, in simplest form, an expression that represents the revenue.

  • A 7 𝑑
  • B 3 6 𝑑
  • C 9 𝑑 βˆ’ 2
  • D 1 1 𝑑
  • E 9 𝑑 + 2

Q14:

A restaurant charges $20 for a main meal and $2.50 for any optional extra. Write an algebraic expression for the cost of 𝑑 main meals and 𝑒 optional extras.

  • A 2 0 ( 𝑑 + 𝑒 )
  • B 𝑑 + 2 . 5 𝑒
  • C 5 0 ( 𝑑 + 𝑒 )
  • D 2 0 𝑑 + 2 . 5 𝑒
  • E 5 0 𝑑 𝑒

Q15:

Sherif went to the park with his family and bought 6 bottles of coconut water for $ π‘₯ each and a large bag of organic potato chips for $3.40. Write an expression in the simplest form that represents the total amount of money he spent.

  • A 3 . 4 π‘₯ + 6
  • B 6 π‘₯ βˆ’ 3 . 4
  • C 3 . 4 π‘₯ βˆ’ 6
  • D 6 π‘₯ + 3 . 4
  • E 9 . 4 π‘₯

Q16:

Write two algebraic expressions involving multiplication that have the same meaning.

  • A 5  , 5 β‹… 5
  • B 5 Γ— 5 , 5 β‹… 5
  • C 5 Γ— 𝑑 , 5 + 𝑑
  • D 5 Γ— 𝑑 , 5 𝑑
  • E 5 Γ— 𝑑 , 𝑑 

Q17:

The area of the floor of a silo is ( 2 π‘₯ + 9 ) 2 ft2. The height of the silo is ( 1 0 π‘₯ + 1 0 ) ft. Write an expression for the volume of grain that the silo can hold by expanding the square and multiplying by the height.

  • A ο€Ή 4 0 π‘₯ + 3 6 4 π‘₯ + 8 4 6 π‘₯ + 8 1  3 2 ft3
  • B ο€Ή 4 π‘₯ + 4 0 π‘₯ + 1 1 7 + 8 1  3 2 ft3
  • C ο€Ή 4 π‘₯ + 7 6 π‘₯ + 1 1 7 0 π‘₯ + 8 1 0  3 2 ft3
  • D ο€Ή 4 0 π‘₯ + 4 0 0 π‘₯ + 1 1 7 0 π‘₯ + 8 1 0  3 2 ft3
  • E ο€Ή 4 0 π‘₯ + 3 2 0 π‘₯ + 4 5 0 π‘₯ + 8 1 0  3 2 ft3

Q18:

A caver is planning to descend 88.5 feet down a cave. He plans to make two stops before reaching the bottom such that he descends an equal distance each time. Write an expression that can be used to find the caver’s position in relation to the cave entrance’s elevation each time, 𝑑 , he makes a stop.

  • A 8 8 . 5 3 𝑑
  • B βˆ’ 8 8 . 5 2 𝑑
  • C 8 8 . 5 2 𝑑
  • D βˆ’ 8 8 . 5 3 𝑑
  • E 3 8 8 . 5 𝑑

Q19:

A cuboid has a height of ο€Ή 6 π‘₯ + 1   cm and a square-shaped base with a side length of 2 π‘₯ cm. Find its volume in terms of π‘₯ .

  • A ο€Ή 2 4 π‘₯ βˆ’ 4 π‘₯  οŠͺ  cm3
  • B ο€Ή 1 2 π‘₯ + 2 π‘₯   cm3
  • C ο€Ή 2 4 π‘₯ + 1  οŠͺ cm3
  • D ο€Ή 2 4 π‘₯ + 4 π‘₯  οŠͺ  cm3
  • E ο€Ή 2 4 π‘₯ + π‘₯  οŠͺ  cm3

Q20:

A lamb stew recipe needs 9 cups of stock, where each cup has 8 fluid ounces. Find the number of fluid ounces of stock needed to make the lamb stew. Then, make a table to determine an algebraic expression relating the number of fluid ounces to the number of cups 𝑛 .

  • A 64 fluid ounces, 8 ( 𝑛 βˆ’ 1 )
  • B 17 fluid ounces, 8 + 𝑛
  • C 16 fluid ounces, 8 + 𝑛
  • D 72 fluid ounces, 8 𝑛
  • E 80 fluid ounces, 8 ( 𝑛 + 1 )

Q21:

A girl has 42 flowers to put into vases. She wants to put 6 flowers in each vase. How many vases does she need?

  • A ( 6 + 4 2 ) vases
  • B ( 6 Γ— 4 2 ) vases
  • C ( 4 2 βˆ’ 6 ) vases
  • D ( 4 2 Γ· 6 ) vases

Q22:

A girl at a stable was counting the legs of the horses. She counted 52 legs. Use the division symbol ( Γ· ) to write an expression for the number of horses.

  • A 5 2 Γ· 3
  • B 5 2 Γ· 2
  • C 5 2 Γ· 5
  • D 5 2 Γ· 4

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