Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Start Practicing

Worksheet: Writing Multiplication and Division Expressions

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:

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

Q3:

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

Q4:

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

Q5:

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

Q6:

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

Q7:

A rectangular prism has a height of cm and a square-shaped base of edge length cm. Find the volume in terms of .

  • A cm3
  • B cm3
  • C cm3
  • D cm3
  • E cm3

Q8:

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

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

Q9:

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

Q10:

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

Q11:

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

Q12:

A bookstore is selling coloring 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

Q13:

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

Q14:

Ethan 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‘₯

Q15:

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

  • A 5 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 5

Q16:

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 )